IBPS PO Mock Test Series 2025 Prelims Full Test 6

1. Direction: Fill in the blanks in the passage below, with the word from among the options given for each blank labelled (A) to (E). Choose the word that fits in each blank most appropriately in the context of the passage.

The Israel philharmonic orchestra is one of the country’s most ________(A) cultural jewels. Created ten years before the State, it has been to the battlefields in wartime to boost the troops’ ________(B). It earned a ________(C) as one of the world’s leading orchestras. But in a country stuffed to the rafters, many of them immigrants, competition for funds is ________(D) and is increasingly ________(E). The management at the philharmonic has mounted a public ________(F) to demand more money after it was allotted less than what it got the previous year.

Question:

Which of the following fits in the blank labelled (A)?

A. Legitimate

B. Evocative

C. Glittering

D. Prerogative

E. Annex

Solution

The correct answer is glittering.

Key Points

The sentence with the blank A mentions the orchestra as a cultural jewel. The word glittering is the most suitable word to describe the popularity of the orchestra. Thus, the word glittering is the most appropriate word for blank A out of the given options which perfectly fits in the context of the sentence

The meaning of the word that perfectly fits in the context of the sentence is:

Glittering: impressively successful or elaborate. It is an adjective.

Additional Information

Let us look at the meaning of the other words:

Word	Meaning
Legitimate	conforming to the law or to rules
Evocative	bringing strong images, memories, or feelings to mind
Prerogative	a right or privilege exclusive to a particular individual or class
Annex	a building joined to or associated with the main building, providing additional space or accommodation
Orchestra	a group of instrumentalists, especially one combining string, woodwind, brass, and percussion sections and playing classical music

2. Direction: Fill in the blanks in the passage below, with the word from among the options given for each blank labelled (A) to (E). Choose the word that fits in each blank most appropriately in the context of the passage.

Question:

Which of the following fits in the blank labelled (B)?

A. Rebellion

B. Morality

C. Morale

D. Punctilio

E. Fiend

Solution

The correct answer is morale.

Key Points

The sentence with the blank B implies that the orchestra wishes to entertain the soldiers and keep their confidence high. Thus the word morale is the most suitable word for blank B as it means ‘the amount of confidence and cheerfulness that a group of people have’, which perfectly fits in the context of the sentence.

The meaning of the word that perfectly fits in the context of the sentence is:

Morale: the confidence, enthusiasm, and discipline of a person or group at a particular time. It is a noun.

Additional Information

Let us look at the meaning of the other words:

Meaning
Rebellion	an act of armed resistance to an established government or leader
Punctilio	a fine or petty point of conduct or procedure
Morality	principles concerning the distinction between right and wrong or good and bad behaviour
Fiend	a very wicked or cruel person

3. Direction: Fill in the blanks in the passage below, with the word from among the options given for each blank labelled (A) to (E). Choose the word that fits in each blank most appropriately in the context of the passage.

Question:

Which of the following fits in the blank labelled (C)?

A. Milieu

B. Misnomer

C. Facade

D. Stature

E. Ineptitude

Solution

The correct answer is stature.

Key Points

The word stature is the most suitable word for blank C out of the given options. The word perfectly fits in the context of the sentence that is ‘the orchestra built a reputation for themselves as one of the world’s leading orchestras’.

The meaning of the word that perfectly fits in the context of the sentence is:

Stature: importance or reputation gained by ability or achievement. It is a noun.

Additional Information

Let us look at the meaning of the other words:

Word	Meaning
Milieu	a person’s social environment
Misnomer	wrong or inaccurate name or designation
Facade	a deceptive outward appearance
Ineptitude	lack of skill or ability

4. Direction: Fill in the blanks in the passage below, with the word from among the options given for each blank labelled (A) to (E). Choose the word that fits in each blank most appropriately in the context of the passage.

Question:

Which of the following fits in the blank labelled (D)?

A. Inevitable

B. Tortuous

C. Portentous

D. Impetuous

E. Punitive

Solution

The correct answer is inevitable.

Key Points

The sentence with blank D implies that Israel has many classical musicians so competition for funds is unavoidable. The only word that fits in the context of the sentence is ‘inevitable’.

The meaning of the word that perfectly fits in the context of the sentence is:

Inevitable: certain to happen; unavoidable. It is an adjective.

Additional Information

Let us look at the meaning of the other words:

Word	Meaning
Tortuous	full of twists and turns
Portentous	of or like a portent; of momentous significance
Impetuous	acting or done quickly and without thought or care
Punitive	inflicting or intended as punishment
Rafter	a beam forming part of the internal framework of a roof

5. Direction: Fill in the blanks in the passage below, with the word from among the options given for each blank labelled (A) to (E). Choose the word that fits in each blank most appropriately in the context of the passage.

Question:

Which of the following fits in the blank labelled (E)?

A. Indignant

B. Magnanimous

C. Placid

D. Amenable

E. Cordial

Solution

The correct answer is Indignant.

Key Points

In the sentence with the blank E, the competition for funds is described as unavoidable and resentful due to the presence of many classical musicians. Here the word Indignant is the most suitable word for blank E out of the given options which perfectly fits in the context of the sentence.

The meaning of the word that perfectly fits in the context of the sentence is:

Indignant: feeling or showing anger or annoyance at what is perceived as unfair treatment. It is an adjective.

Additional Information

Let us look at the meaning of the other words:

Word	Meaning
Magnanimous	generous or forgiving, especially towards a rival or less powerful person
Placid	calm and peaceful, with little movement or activity
Amenable	open and responsive to suggestion; easily persuaded or controlled
Cordial	warm and friendly

6. Direction: Fill in the blanks in the passage below, with the word from among the options given for each blank labelled (A) to (E). Choose the word that fits in each blank most appropriately in the context of the passage.

Question:

Which of the following fits in the blank labelled (F)?

A. Condemnation

B. Divergence

C. Infringement

D. Campaign

E. Raillery

Solution

The correct answer is campaign.

Key Points

The sentence with the blank F implies that the Philharmonic orchestra wants to plan a set of activities over a period of time in order to achieve more funds from the government. Therefore the word campaign is the most suitable word for blank F which perfectly fits in the context of the sentence.

The meaning of the word that perfectly fits in the context of the sentence is:

Campaign: an organized course of action to achieve a goal It is a noun.

Additional Information

Let us look at the meaning of the other words:

Word	Meaning
Condemnation	the expression of very strong disapproval; censure
Divergence	a difference in opinions, interests
Infringement	the action of breaking the terms of a law, agreement, etc.; violation
Raillery	good-humoured teasing

7. Directions: Read the following sentence and determine whether there is an error in it. The error, if any, will be in one part of the sentence. If the sentence is error-free, select ‘No Error’ as your answer.

Sammy had been (A) waiting for a hour,(B) but Markus was (C) nowhere to be seen. (D)

A. A

B. B

C. C

D. D

E. No Error

Solution

The correct answer is B

Key Points

The given sentence is in the past tense as can be seen by the phrase ‘had been waiting’ and ‘was’.
The sentence uses the article ‘a’ before the noun ‘hour’.
While ‘h’ is a consonant and thus should start with ‘a’ which is an article for a noun starting with a consonant.
The common misconception here is that the choice of the article depends on the letter the noun starts with, but actually, it depends on the phonetic sound of the letter that the word begins with.
In this case, ‘hour’ starts with ‘h’ but the sound is ‘o’ as it is pronounced as ‘our’.
‘O’ is a vowel and thus requires the article ‘an’.

Hence, the ‘a’ needs to be replaced with an ‘an’.

Thus, the correct sentence is: Sammy had been waiting for an hour, but Markus was nowhere to be seen.

8. The question sentence has been divided into 5 parts, from (A) to (E). Any part of the sentence carries an error. Find the error based on Adjective. If there is no error, mark ‘Option E’ i.e. No error.

Little that Shivangi did for me is unforgettable,(A) I could not possibly repay her deeds of kindness.(B) She helped me in a time when (C) I was really low and had no assistance from my family.(D) No error (E)

A. A

B. B

C. C

D. D

E. E

Solution

The correct answer is option 1) i.e. A.

Key Points

Part A, ‘Little that Shivangi did for me is unforgettable‘ is incorrect.❌
We should use ‘the’ before ‘little‘ in the given sentence, ‘The little’ means not much but all.
- Example: The little money that we have is being spent on food.
‘Little’ means hardly any.
- Example: Little does he know the integrities regarding train operations.
‘A little’ means not much (some)
- Example: A little help from the government will go a long way in pacifying the crowds.

Correct sentence: The little that Shivangi did for me is unforgettable, I could not possibly repay her deeds of kindness. She helped me in a time when I was really low and had no assistance from my family.

Was the solution helpful?Yes

9. Directions: Read the following sentence and determine whether there is an error in it. The error, if any, will be in one part of the sentence. If the sentence is error-free, select ‘No Error’ as your answer.

Michael insisted paying (A) for the meal, (B) but Halley wanted (C) to split the bill. (D)

A. A

B. B

C. C

D. D

E. No Error

Solution

The correct answer is A

Key Points

The sentence is in the past tense as can be seen by the use of the verb ‘insisted’ and ‘wanted’ in the past tense.
The verb ‘insist‘ means to ‘demand something forcefully or not taking no for an answer’.
This means that there usually is an idea or a point which one is being ‘forceful’ about.
The verb ‘insisted’ needs to be followed by the preposition ‘on’ in order to show what point someone is being forced about.

Hence, ‘insisted‘ needs to be followed by the preposition ‘on‘ in order to make the sentence contextually correct.

Thus, the correct sentence is: “Michael insisted on paying for the meal, but Halley wanted to split the bill.”

10. Directions: Read the following sentence and determine whether there is an error in it. The error, if any, will be in one part of the sentence. If the sentence is error-free, select ‘No Error’ as your answer.

Mark would (A) always remembered (B) his dog, Molly (C) with fondness. (D)

A. A

B. B

C. C

D. D

E. No Error

Solution

The correct answer is B

Key Points

The given sentence in the past tense, this can be seen by the use of the modal verb ‘would’.
Even if the verb ‘would’ were to be replaced by the verb ‘will’, ‘remembered’ would still be incorrect as ‘will’ is in the present tense.
A modal verb has to be followed by the base form of the verb.

Hence, ‘remembered‘ needs to be replaced with ‘remember‘.

Thus, the correct sentence is: Mark would always remember his dog, Molly with fondness.

11. In the following question, two columns are given containing three phrases each. In the first column, phrases are A, B, and C, and in the second column, the phrases are D, E and F. A phrase from the first column may or may not connect with a phrase from the second column to make a grammatically and contextually correct sentence. There are five options, four of which display the sequence(s) in which the phrases can be joined to form a grammatically and contextually correct sentence. If, none of the options given forms a correct sentence after combination, select ‘None of these’ as your answer.

Column (1)	Column (2)
(A)She wants students to recall a case	(D) include different methods of transportation.
(B)Various methods of Native American transportation	(E) are incomparable.
(C)The value of birch trees to some Native American groups	(F) which she has already discussed.

A. A-D

B. B-F

C. C-F

D. A-F and C-D

E. None of these

Solution

The correct answer is ‘None of these‘.

Key Points

We need to join each sentence part given in column 1 to their correct counterparts given in column 2. The sentences should not only be conceptually correct but also grammatically error-free. This would allow us to come to the correct solution.
- Part A talks about how the subject ‘she’ wants students to recall a case. Conceptually it can join with part F which talks about how the subject ‘she’ has already discussed. But part F is a defining clause. It pinpoints which case the students need to recall. Defining clauses have to use ‘that’ before it. So, using ‘which’ makes the sentence grammatically incorrect.
- Combining parts B and D make no sense although they both talk about transportation.
- Conceptually parts C and E can join as they make a sentence which talks about how the value of some trees to a particular native group cannot be compared. But it would lead to a subject-verb disagreement. Part C has the singular subject ‘value’ while part E uses the plural ‘verb’. So, grammatically they cannot join.
Since there are no correct combinations, option 5 is the correct answer.

Important Points

A singular subject (value) will take a singular verb (is), whereas a plural subject takes a plural verb.

Defining clauses use ‘that’. Non defining clauses use ‘which’.

12. Below a word is given followed by three sentences which consist of that word. Identify the sentence/s which best expresses the meaning of the word. Choose option 5 (None of the these) if the word is not suitable in any of the sentences.

SUMMON

He has been summoned to court for the third time in two weeks for committing a heinous crime.
Can he finally summon up the courage to say what he really feels?
The invaders quickly summoned and were held as prisoners of war.

A. Both B and C

B. Both A and C

C. A

D. Both A and B

E. None of these

Solution

The correct answer is option 4.

Key Points

To answer this question, let’s first understand the meaning of the word given in the question:
Summon: to order someone to come to a particular place; to call upon someone or something formally. (आदेश देना, बुलाना)
Now, let’s examine the given sentences:
Sentence A: He has been summoned to court for the third time in two weeks for committing a heinous crime.
- This sentence correctly uses the word “summoned” to describe the act of being formally ordered to appear in court.
Sentence B: Can he finally summon up the courage to say what he really feels?
- This sentence correctly uses the word “summon” to describe the act of gathering or mustering courage.
Sentence C: The invaders quickly summoned and were held as prisoners of war.
- This sentence incorrectly uses the word “summoned” as it does not align with the meaning of formally ordering or calling upon someone.
So, both Sentence A and Sentence B correctly use the word “summon” in appropriate contexts.

Therefore, the correct answer is option 4.

13. Below a word is given followed by three sentences which consist of that word. Identify the sentence/s which best expresses the meaning of the word. Choose option 5 (None of the these) if the word is not suitable in any of the sentences.

COARSE

The human race is on a coarse of discovering a new and unknown power hidden within.
In his most characteristic works he carved directly in stone, preferring a hard stone with a coarse texture.
Her voice was coarse as if she had been yelling all night.

A. Both B and C

B. Both A and B

C. Both A and C

D. A, B and C

E. None of these

Solution

The correct answer is option 1.

Key Points

To answer this question, let’s first understand the meaning of the word given in the question:
Coarse: rough or harsh in texture; lacking refinement or sophistication. (खुरदरा, अशिष्ट)
Now, let’s examine the given sentences:
Sentence A: The human race is on a coarse of discovering a new and unknown power hidden within.
- This sentence does not use the word “coarse” correctly. The intended word might be “course,” which refers to a path or direction. “Coarse” does not fit here.
Sentence B: In his most characteristic works he carved directly in stone, preferring a hard stone with a coarse texture.
- This sentence correctly uses the word “coarse” to describe the rough texture of the stone.
Sentence C: Her voice was coarse as if she had been yelling all night.
- This sentence also correctly uses the word “coarse” to describe the rough or harsh quality of her voice.
So, both Sentence B and Sentence C correctly use the word “coarse.”

Therefore, the correct answer is “Both B and C.”

14. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

In a substantial blow in favor of free speech, the Supreme Court has effectively suspended the operation of the sedition provision in the country’s penal law. “All pending trials, appeals, and proceedings with respect to the charge framed under Section 124A be kept in abeyance”, it has said in an order that will bring some welcome relief to those calling for the abrogation of Section 124A of the IPC, which criminalizes any speech, writing or representation that “excites disaffection against the government”. The Court has recorded its hope and expectation that governments at the Centre and the States will refrain from registering any fresh case of sedition under Section 124A of the IPC, or continuing with any investigation or taking any coercive measure under it. The hope and the expectation arise from the Union government’s own submission that it has decided to re-examine and reconsider the provision as part of the Prime Minister’s efforts to scrap outdated laws and compliance burdens. Perhaps, realizing that its order may not be enough to deter thin-skinned and vindictive governments and politically pliant police officers from invoking it against detractors and dissenters, the Court has given liberty to the people to approach the jurisdiction courts if any fresh case is registered for sedition and cite in their support the present order, as well as the Union government’s stand.

That the sedition law is being persistently misused has been recognized years ago, and courts have pointed out that the police authorities are not heeding the limitation imposed by a 1962 Constitution Bench of the Supreme Court on what constitutes sedition. The Court had upheld the section only by reading it down to mean that it is applicable only to “acts involving intention or tendency to create disorder, or disturbance of law and order, or incitement to violence”. In practice, the police has been using the broad definition of sedition to book anyone who criticized the Government in strong and strident language. The question now before the Court is whether it ought to overrule a decision rendered by a five-judge Bench 60 years ago. If it chooses to do so and strikes down Section 124A as an unconstitutional restriction on free speech, it may help the larger cause of preventing misuse of provisions relating to speech-based offenses. However, the Government may choose to prevent such a situation by amending it so that the offense is narrowly defined to cover only acts that affect the sovereignty, integrity, and security of the state, as reportedly recommended by a panel of experts. When the Government submitted that it was revisiting the provision on its own, it was expecting only an indefinite postponement of the hearing on the constitutional validity of Section 124A, but it must now heed the spirit of the order and take effective steps to prevent its misuse.

Question:

According to the passage, if the Supreme Court abolishes Section 124A:

A. It may help encourage the misuse of provisions relating to speech-based offenses.

B. It may help encourage the misuse of government properties.

C. It may help in encouraging terrorist activities.

D. It may help prevent the misuse of provisions relating to sexual offenses.

E. It may help prevent the misuse of provisions relating to speech-based offenses.

Solution

The correct answer is ‘It may help prevent the misuse of provisions relating to speech-based offenses.‘

Key Points

The fifth sentence of the second paragraph says “If it chooses to do so and strikes down Section 124A as an unconstitutional restriction on free speech, it may help the larger cause of preventing misuse of provisions relating to speech-based offenses.”
From the above sentence, we can say that according to the passage, if the Supreme Court abolishes Section 124A it may help prevent the misuse of provisions relating to speech-based offenses.

Hence, the only possible answer is option 5.

15. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

What will fit in the blank taken from the passage: ”The Court has _______ its hope and expectation that governments at the Centre and the States will refrain from registering any fresh case of sedition under Section 124A of the IPC, or continuing with any investigation or taking any coercive measure under it”

A. Record

B. Records

C. Recorded

D. Recording

E. Recorder

Solution

The correct answer is ‘Recorded.‘

Key Points

The given sentence is in the present perfect tense as it links the past to the present in some way.
The present perfect tense refers to an action or state that either occurred at an indefinite time in the past or began in the past and continued to the present time.
This tense is formed by have/has + the past participle (here, recorded).
Therefore, the past participle form of the verb ‘recorded’ should be used in the blank.

Hence, the correct answer is option 3.

Complete Sentence: The Court has recorded its hope and expectation that governments at the Centre and the States will refrain from registering any fresh case of sedition under Section 124A of the IPC, or continuing with any investigation or taking any coercive measure under it.

Additional Information

‘Recorder’ is a noun that means An apparatus for recording sound, pictures, or data.

‘Record’ is the base form of the verb.

‘Records’ is the third-person present form of the verb.

‘Recording’ is the gerund or present participle form of the verb.

16. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

Which of the following is/are incorrect according to the given passage?

A. People cannot approach the jurisdiction courts if any fresh case is registered for sedition.

B. The Supreme Court has suspended the operation of the sedition provision in the country’s penal law.

C. Section 124A criminalizes any speech, writing, or representation that excites disaffection against the government.

A. Only A

B. Both A and B

C. Only B

D. Both B and C

E. Only C

Solution

The correct answer is ‘Only A.‘

Key Points

The last sentence of the first paragraph says “Perhaps, realizing that its order may not be enough to deter thin-skinned and vindictive governments and politically pliant police officers from invoking it against detractors and dissenters, the Court has given liberty to the people to approach the jurisdiction courts if any fresh case is registered for sedition and cite in their support the present order, as well as the Union government’s stand.”
- From the above sentence, we can say that statement A is incorrect according to the given passage.
The first sentence of the passage says “In a substantial blow in favor of free speech, the Supreme Court has effectively suspended the operation of the sedition provision in the country’s penal law” and the second sentence of the first paragraph says ”All pending trials, appeals, and proceedings with respect to the charge framed under Section 124A be kept in abeyance, it has said in an order that will bring some welcome relief to those calling for the abrogation of Section 124A of the IPC, which criminalizes any speech, writing or representation that excites disaffection against the government”.
- From the above sentences, we can say that statements B and C are correct according to the given passage.

Hence, the only possible answer is option 1.

17. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

Which of the following is/are correct according to the given passage?

A. The Court has an expectation that governments at the Centre and the States will effectively register fresh cases of sedition.

B. The Supreme Court’s order is enough to deter vindictive governments and politically pliant police officers.

C. The police used the sedition law to arrest anyone who criticized the Government.

A. Only A

B. Both A and B

C. Only B

D. Both B and C

E. Only C

Solution

The correct answer is ‘Only C.‘

Key Points

The third sentence of the first paragraph says “The Court has recorded its hope and expectation that governments at the Centre and the States will refrain from registering any fresh case of sedition under Section 124A of the IPC, or continuing with any investigation or taking any coercive measure under it” and the last sentence of the first paragraph says ”Perhaps, realizing that its order may not be enough to deter thin-skinned and vindictive governments and politically pliant police officers from invoking it against detractors and dissenters, the Court has given liberty to the people to approach the jurisdiction courts if any fresh case is registered for sedition and cite in their support the present order, as well as the Union government’s stand‘‘.
- From the above sentences, we can say that statements A and B are incorrect according to the given passage.
The third sentence of the second paragraph says “In practice, the police have been using the broad definition of sedition to book anyone who criticized the Government in strong and strident language.”
- From the above sentence, we can say that statement C is correct according to the given passage.

Hence, the only possible answer is option 5.

18. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

What is the central theme of the passage?

A. Encouraging misuse of sedition law.

B. Restricting people from approaching the jurisdiction courts.

C. Intention or tendency to create disorder

D. Preventing misuse of sedition law.

E. The Government must disregard the spirit of the SC order.

Solution

The correct answer is ‘Preventing misuse of sedition law.‘

Key Points

The first sentence of the passage says ”In a substantial blow in favor of free speech, the Supreme Court has effectively suspended the operation of the sedition provision in the country’s penal law”, the last sentence of the first paragraph says ”Perhaps, realizing that its order may not be enough to deter thin-skinned and vindictive governments and politically pliant police officers from invoking it against detractors and dissenters, the Court has given liberty to the people to approach the jurisdiction courts if any fresh case is registered for sedition and cite in their support the present order, as well as the Union government’s stand” and the last sentence of the passage, concludes “When the Government submitted that it was revisiting the provision on its own, it was expecting only an indefinite postponement of the hearing on the constitutional validity of Section 124A, but it must now heed the spirit of the order and take effective steps to prevent its misuse“.
From the above sentences, we can say that the central theme of the passage is ”Preventing misuse of sedition law”.

Hence, the only possible answer is option 4.

19. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

Choose the synonym of the word ‘Abrogation‘.

A. Institution

B. Repudiation

C. Establishment

D. Launch

E. Introduction

Solution

The correct answer is ‘Repudiation.‘

Key Points

The word ‘Abrogation‘ means The repeal or abolition of a law, right, or agreement.
- Example: The abrogation of the death penalty embodies the humanization of law.
Let’s look at the meaning of the given options:-
- Institution – The action of instituting something.
  - Example: The institution of the Freedom of Information Act has had a significant effect.
- Repudiation – Rejection of a proposal or idea.
  - Example: They were surprised by his sudden repudiation of all his former beliefs.
- Establishment – The action of establishing something or being established.
  - Example: The establishment of new international economic order is the essence of his article.
- Launch – An act or instance of launching something.
  - Example: They managed to launch a new business.
- Introduction – The act of introducing a system, policy, etc., or of starting a process.
  - Example: With the introduction of independent taxation, a married woman’s position is much clearer.

Hence, the only possible answer is option 2.

Additional Information

The antonyms of the word ‘Abrogation‘ are “Institution, Introduction, Establishment“.

The synonyms of the word ‘Abrogation‘ are “Repudiation, Abatement, Abolishment“.

20. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

Choose the antonym of the word ‘Abeyance‘.

A. Suspension

B. Dormancy

C. Resuscitation

D. Quiescence

E. Latency

Solution

The correct answer is ‘Resuscitation.‘

Key Points

The word ‘Abeyance‘ means A state of temporary disuse or suspension.
- Example: The law was held in abeyance for well over twenty years.
Let’s look at the meaning of the given options:-
- Suspension – A state of temporary inactivity.
  - Example: These events have led to the suspension of talks.
- Dormancy – The state of being temporarily inactive or inoperative.
  - Example: The volcano erupted after years of dormancy.
- Resuscitation – The action of making something active or vigorous again.
  - Example: The economy needs vigorous resuscitation.
- Quiescence – Inactivity or dormancy.
  - Example: Although the inactive volcano has been in a state of quiescence for quite some time, it could erupt again very soon.
- Latency – A state of temporary inactivity.
  - Example: Patients usually become symptomatic after a latency period of hours to days.

Hence, the only possible answer is option 3.

Additional Information

The synonyms of the word ‘Abeyance‘ are “Suspension, Dormancy, Quiescence”.

The antonyms of the word ‘Abeyance‘ are “Resuscitation, Continuation, Recommencement“.

21. Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:

Question:

Choose the most appropriate meaning of the given idiom from the passage:

Pointed out

A. To show that something is likely to exist, happen or be true

B. To face or be turned in a particular direction.

C. A distinctive feature or characteristic.

D. To direct or aim something at someone or something.

E. To bring attention to something or someone.

Solution

The correct answer is ‘To bring attention to something or someone.‘

Key Points

Given Idiom: Pointed out means To bring attention to something or someone.
- Example: The error was pointed out to her by one of her colleagues.
From the given options, the fifth option is the most appropriate meaning of the given idiom.

Hence, the correct answer is option 5.

Mistake Points

We may think from the phrase “Pointed out” that it is all about directing or aiming something at someone or something.

Additional Information

The phrase has been in use since the late 1400s. If you use the phrase literally it means to point to something. When used figuratively it means to indicate something, usually out of a group of things. It is used as a phrasal verb in a sentence.

22. In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence is then followed by options with the correct combination of words that should replace each other in order to make the sentence grammatically and contextually correct. Find the correct combination of words that replace each other. If the sentence is correct as it is, select ‘5’ as your option.

Falling in experienced (A) was one of the most wonderful (B) feelings Alex had ever love (C) in her entire life. (D)

A. A-C

B. C-D and A-B

C. B-C and C-A

D. C-D

E. No Rearrangement

Solution

The correct answer is option 1 i.e., A-C.

Key Points

We can look at the sentence in the following way:

Falling in _______ (A) was one of the most _______ (B) feelings Alex had ever _______ (C) in her entire _______ (D).

Experienced: To feel, especially in terms of emotions. An ‘experience’ is usually an event or a feeling and one cannot ‘all’ in it. So this must be replaced with a noun.
Wonderful: Refers to something that causes joy, admiration or happiness.
Love: An intense feeling of deep affection for something or someone. The blank requires a word in the past tense because the helping verb ‘had’ is used before it.
Life: The existence of something – human or animal.

Hence, we need to interchange A and C in order to make the sentence contextually correct.

Correct Sentence: Falling in love (A) was one of the most wonderful (B) feelings Alex had ever experienced (C) in her entire life (D).

23. In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence is then followed by options with the correct combination of words that should replace each other in order to make the sentence grammatically and contextually correct. Find the correct combination of words that replace each other. If the sentence is correct as it is, select ‘5’ as your option.

The old, road (A) house down the shabby (B) was rumored to be ghost (C) by the haunted (D) of its owner.

A. A-B and C-D

B. D-B and A-C

C. A-C and C-B

D. B-A

E. No Rearrangement

Solution

The correct answer is option 1 i.e., A-B and C-D.

Key Points

We can look at the sentence in the following way:

The old, _______ (A) house down the _______ (B) was rumoured to be _______ (C) by the _______ (D) of its owner.

Road: A long piece of hard ground between 2 destinations for driving or riding. The blank is followed by a noun (house) and so this should be an adjective that describes it, but ‘road’ is also a noun.
Shabby: Something that is in a poor condition due to a lack of use or care. This is an adjective, it cannot be ‘rumoured’ to be anything. A noun should replace it.
Ghost: An vision of a dead person that is believed to appear on Earth. A ‘house’ cannot be ‘rumoured’ to be a ghost, a ghost is of a living thing.
Haunted: Visited frequently by a ghost. This is a verb (an action), it cannot belong to the ‘owner’.

Hence, we need to interchange A and B and also C and D to make the sentence contextually correct.

Correct Sentence: The old, shabby (A) house down the road (B) was rumoured to be haunted (C) by the ghost (D) of its owner.

24. In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence is then followed by options with the correct combination of words that should replace each other in order to make the sentence grammatically and contextually correct. Find the correct combination of words that replace each other. If the sentence is correct as it is, select ‘5’ as your option.

Pursued (A) the talents (B) well is one of Manuel’s only guitar, (C) so he playing (D) that.

A. A-B and C-D

B. A-D and B-C

C. A-C and B-D

D. A-D

E. No Rearrangement

Solution

The correct answer is option 2 i.e. A-D and B-C

We can look at the sentence in the following way:

_______ (A) the _______ (B) was one of Manuel’s only _______ (C) so he _______(D).

Pursued: Refers to the act of going after something or chasing something in the past tense. The first half of the sentence is in the present tense so the verbs should follow this pattern, ‘pursued’ is in the past tense.
Talents: Natural aptitude or skill or an ability someone has in something. ‘Talents’ is a general category and cannot be ‘pursued’ as a whole, it needs to be more specific.
Guitar: A stringed musical instrument. The ‘one of’ refers to being a part of many and so the noun here needs to be plural, ‘guitar’ is singular.
Playing: Refers to the act of performing using a musical instrument. “He playing that” is grammatically incorrect.

Hence, we need to interchange A and D and also B and C in order to make the sentence contextually correct

Correct Sentence: Playing (A) the guitar (B) was one of Manuel’s only talents (C) so he pursued (D) that.

25. Directions: In each of the questions given below, four words are given in bold. These four words may or may not be in their correct position. The sentence is then followed by options with the correct combination of words that should replace each other in order to make the sentence grammatically and contextually correct. Find the correct combination of words that replace each other. If the sentence is correct then, selects ‘All correct’ as your option.

The kerosene subsidy has also been quietly ended by rationale/ (A) out subsidized state allocations. The original phasing/ (B) for subsidized kerosene was that it was used in hurricane/ (C) lanterns, the only form of lighting/ (D) in non-electric areas comprising most of India.

A. B-D

B. A-B

C. C-D

D. A-D

E. All correct

Solution

The correct answer is Option 2 i.e. ‘The correct combination of words is A-B’

Key Points

The combination of a pair A-B i.e. Rationale and Phasing should interchanged.
‘Phasing out’ is a phrasal verb which means ‘stop using something gradually’ and also ‘by’ is a preposition and we need a prepositional object so phasing acts as a gerund(noun) here.
‘Rationale’ is a noun and original is an adjective that’s why we can’t use phasing in part B because we need a noun there.

So the correct sentence is: “The kerosene subsidy has also been quietly ended by phasing out subsidized state allocations. The original rationale for subsidized kerosene was that it was used in hurricane lanterns, the only form of lighting in non-electric areas comprising most of India.”

26. Rearrange the following six sentences i.e. A, B, C, D, E and F in the proper sequence to form a meaningful paragraph and answer the given questions.

A – The students who clear all three levels receive the National Award from the President of the country and are given monetary rewards as well.

B – The ‘National Cultural Talent Search’ competition is organised annually.

C – The crème de la crème of these represent the country at various international cultural exchange programs.

D – In three phases of increasing difficulty i.e. State, Zonal and National, this competition handpicks the best talent of the country.

E – The participants are assessed on their main performance in the initial two levels.

F – Thereupon, for the third phase, a lot of other spontaneous assessment rounds are added to determine the overall creativity.

Question:

Which of the following is the THIRD sentence after rearrangement?

A. E

B. B

C. C

D. D

E. None of the above

Solution

The correct answer is Option 1.

Key Points

The correct order of the rearrangement will be BDEFAC.
To find the introductory sentence, we must try and find a relevant subject. Sentence B introduces the name of the competition which is further detailed across all other sentences. Thus, B is the starting sentence.
D details the basic structure of the competition, which should logically follow.
E talks about the initial levels whereas F talks about the final level. Thus, these two should respectively follow B and D.
Finally, A and C talk about the resultant end. But, even in this, A describes what the winners receive while C uses the phrase ‘creme de la creme‘ which means ‘the best of the lot’ thereby describing that the best out of a lot of winners get to represent the country at various platforms.
Thus, C is chronologically the last and concluding sentence.

Therefore, the third sentence is E.

27. Rearrange the following six sentences i.e. A, B, C, D, E and F in the proper sequence to form a meaningful paragraph and answer the given questions.

A – The students who clear all three levels receive the National Award from the President of the country and are given monetary rewards as well.

B – The ‘National Cultural Talent Search’ competition is organised annually.

C – The crème de la crème of these represent the country at various international cultural exchange programs.

D – In three phases of increasing difficulty i.e. State, Zonal and National, this competition handpicks the best talent of the country.

E – The participants are assessed on their main performance in the initial two levels.

F – Thereupon, for the third phase, a lot of other spontaneous assessment rounds are added to determine the overall creativity.

Question:

Which of the following is the FIRST sentence after rearrangement?

A. A

B. B

C. C

D. D

E. None of the above

Solution

The correct answer is Option 2.

Key Points

The correct order of the rearrangement will be BDEFAC.
To find the introductory sentence, we must try and find a relevant subject. Sentence B introduces the name of the competition which is further detailed across all other sentences. Thus, B is the starting sentence.
D details the basic structure of the competition, which should logically follow.
E talks about the initial levels whereas F talks about the final level. Thus, these two should respectively follow B and D.
Finally, A and C talk about the resultant end. But, even in this, A describes what the winners receive while C uses the phrase ‘creme de la creme‘ which means ‘the best of the lot’ thereby describing that the best out of a lot of winners get to represent the country at various platforms.

Therefore, the first sentence is B.

28. Rearrange the following six sentences i.e. A, B, C, D, E and F in the proper sequence to form a meaningful paragraph and answer the given questions.

A – The students who clear all three levels receive the National Award from the President of the country and are given monetary rewards as well.

B – The ‘National Cultural Talent Search’ competition is organised annually.

C – The crème de la crème of these represent the country at various international cultural exchange programs.

D – In three phases of increasing difficulty i.e. State, Zonal and National, this competition handpicks the best talent of the country.

E – The participants are assessed on their main performance in the initial two levels.

F – Thereupon, for the third phase, a lot of other spontaneous assessment rounds are added to determine the overall creativity.

Question:

Which of the following is the SECOND LAST sentence after rearrangement?

A. A

B. B

C. C

D. D

E. None of the above

Solution

The correct answer is Option 1.

Key Points

The correct order of the rearrangement will be BDEFAC.
To find the introductory sentence, we must try and find a relevant subject. Sentence B introduces the name of the competition which is further detailed across all other sentences. Thus, B is the starting sentence.
D details the basic structure of the competition, which should logically follow.
E talks about the initial levels whereas F talks about the final level. Thus, these two should respectively follow B and D.
Finally, A and C talk about the resultant end. But, even in this, A describes what the winners receive while C uses the phrase ‘creme de la creme‘ which means ‘the best of the lot’ thereby describing that the best out of a lot of winners get to represent the country at various platforms.

Therefore, the second last sentence is A.

29. Rearrange the following six sentences i.e. A, B, C, D, E and F in the proper sequence to form a meaningful paragraph and answer the given questions.

A – The students who clear all three levels receive the National Award from the President of the country and are given monetary rewards as well.

B – The ‘National Cultural Talent Search’ competition is organised annually.

C – The crème de la crème of these represent the country at various international cultural exchange programs.

D – In three phases of increasing difficulty i.e. State, Zonal and National, this competition handpicks the best talent of the country.

E – The participants are assessed on their main performance in the initial two levels.

F – Thereupon, for the third phase, a lot of other spontaneous assessment rounds are added to determine the overall creativity.

Question:

Which of the following is the LAST sentence after rearrangement?

A. A

B. B

C. C

D. D

E. None of the above

Solution

The correct answer is Option 3.

Key Points

The correct order of the rearrangement will be BDEFAC.
To find the introductory sentence, we must try and find a relevant subject. Sentence B introduces the name of the competition which is further detailed across all other sentences. Thus, B is the starting sentence.
D details the basic structure of the competition, which should logically follow.
E talks about the initial levels whereas F talks about the final level. Thus, these two should respectively follow B and D.
Finally, A and C talk about the resultant end. But, even in this, A describes what the winners receive while C uses the phrase ‘creme de la creme‘ which means ‘the best of the lot’ thereby describing that the best out of a lot of winners get to represent the country at various platforms.

Therefore, the last sentence is C.

30. Rearrange the following six sentences i.e. A, B, C, D, E and F in the proper sequence to form a meaningful paragraph and answer the given questions.

A – The students who clear all three levels receive the National Award from the President of the country and are given monetary rewards as well.

B – The ‘National Cultural Talent Search’ competition is organised annually.

C – The crème de la crème of these represent the country at various international cultural exchange programs.

D – In three phases of increasing difficulty i.e. State, Zonal and National, this competition handpicks the best talent of the country.

E – The participants are assessed on their main performance in the initial two levels.

F – Thereupon, for the third phase, a lot of other spontaneous assessment rounds are added to determine the overall creativity.

Question:

Which of the following is the SECOND sentence after rearrangement?

A. A

B. B

C. C

D. D

E. None of the above

Solution

The correct answer is Option 4.

Key Points

The correct order of the rearrangement will be BDEFAC.
To find the introductory sentence, we must try and find a relevant subject. Sentence B introduces the name of the competition which is further detailed across all other sentences. Thus, B is the starting sentence.
D details the basic structure of the competition, which should logically follow.
E talks about the initial levels whereas F talks about the final level. Thus, these two should respectively follow B and D.
Finally, A and C talk about the resultant end. But, even in this, A describes what the winners receive while C uses the phrase ‘creme de la creme‘ which means ‘the best of the lot’ thereby describing that the best out of a lot of winners get to represent the country at various platforms.

Therefore, the second sentence is D.

31. In office D, the male-to-female ratio is 4:3. Difference between male and female in office B is t. In office C, the number of males is 10 fewer than the number of females. Total employee in office B is y. The female-to-female ratio between offices A and B is 6:5. In office A, the number of males is twelve more than the number of females. Sum of male employee in office C and D is z. The male-to-male ratio between offices C and D is 5:8. The combined number of males in offices A and D is 90. Difference between number of male in office C and number of female in Office D is u. The male-to-male ratio between offices A and B is 7:6. The number of females in office C is 60% more than the number of females in office B.

Question:

Find the value of 2y + 3z + 5t?

A. 875

B. 411

C. 335

D. 325

E. 625

Solution

Common Calculation

Lets male in A is 7x and male in B is 6x.

Female in A is 7x – 12

Female in B is [7x – 12] × 5 /6

Male in D is 90 – 7x.

Male in C is [90 -7x] × 5/8

Female in D is [90 – 7x] × 3 /4

Number of females in C is [90 – 7x] × [5/8] + 10

ATQ, [7x – 12] × 5 /6 × [ 160/100] = [90 -7x] × 5/8 +10

Or, 9.33x – 16 = 56.25 – 4.375x + 10

Or, 13.705x = 82.25

Or, x = 82.25 / 13.705 = 6

Male in A is 7×6 = 42

Female in A is 7x – 12 = 42 -12 = 30

Male in B is 6 × 6 = 36

Female in B is [7x – 12] × 5 /6 = 30 × 5 /6 = 25

Male in C is [90 -7x] × 5/8 = 48 × 5 /8 = 30

Females in C = 30 + 10 = 40

Male in D is 90 – 7x = 90 -42 = 48

Female in D is [90 – 7x] × 3 /4 = 48 × 3 /4 = 36

So, t = 36 -25 = 11

So, y = 36 + 25 = 61

So, z = M_C + M_D= 30 + 48 = 78

So, u =|M_C – F_D| = |30 – 36| = |-6| = 6

Office	Male	Female
A	42	30
B	36	25
C	30	40
D	48	36

Calculation

2y + 3z + 5t = [2 × 61] + [3 × 78] + [5 × 11]

= 122 + 234 + 55 = 411

The correct answer is Option (2).

32. In office D, the male-to-female ratio is 4:3. Difference between male and female in office B is t. In office C, the number of males is 10 fewer than the number of females. Total employee in office B is y. The female-to-female ratio between offices A and B is 6:5. In office A, the number of males is twelve more than the number of females. Sum of male employee in office C and D is z. The male-to-male ratio between offices C and D is 5:8. The combined number of males in offices A and D is 90. Difference between number of male in office C and number of female in Office D is u. The male-to-male ratio between offices A and B is 7:6. The number of females in office C is 60% more than the number of females in office B.

Question:

Difference between total male and total female employee in all office together is n. Find the value of 7n + 9u?

A. 231

B. 256

C. 244

D. 257

E. 229

Solution

Common Calculation

Lets male in A is 7x and male in B is 6x.

Female in A is 7x – 12

Female in B is [7x – 12] × 5 /6

Male in D is 90 – 7x.

Male in C is [90 -7x] × 5/8

Female in D is [90 – 7x] × 3 /4

Number of females in C is [90 – 7x] × [5/8] + 10

ATQ, [7x – 12] × 5 /6 × [ 160/100] = [90 -7x] × 5/8 +10

Or, 9.33x – 16 = 56.25 – 4.375x + 10

Or, 13.705x = 82.25

Or, x = 82.25 / 13.705 = 6

Male in A is 7×6 = 42

Female in A is 7x – 12 = 42 -12 = 30

Male in B is 6 × 6 = 36

Female in B is [7x – 12] × 5 /6 = 30 × 5 /6 = 25

Male in C is [90 -7x] × 5/8 = 48 × 5 /8 = 30

Females in C = 30 + 10 = 40

Male in D is 90 – 7x = 90 -42 = 48

Female in D is [90 – 7x] × 3 /4 = 48 × 3 /4 = 36

So, t = 36 -25 = 11

So, y = 36 + 25 = 61

So, z = M_C + M_D= 30 + 48 = 78

So, u =|M_C – F_D| = |30 – 36| = |-6| = 6

Office	Male	Female
A	42	30
B	36	25
C	30	40
D	48	36

Calculation

Total males = 42 + 36 + 30 + 48 = 156

Total females = 30 + 25 + 40 + 36 = 131

So, n = 156 – 131 = 25

So, u = 6

Now: 7n + 9u = 7 × 25 + 9 × 6 = 175 + 54 = 229.

The correct answer is Option (5).

33. In office D, the male-to-female ratio is 4:3. Difference between male and female in office B is t. In office C, the number of males is 10 fewer than the number of females. Total employee in office B is y. The female-to-female ratio between offices A and B is 6:5. In office A, the number of males is twelve more than the number of females. Sum of male employee in office C and D is z. The male-to-male ratio between offices C and D is 5:8. The combined number of males in offices A and D is 90. Difference between number of male in office C and number of female in Office D is u. The male-to-male ratio between offices A and B is 7:6. The number of females in office C is 60% more than the number of females in office B.

Question:

Out of total male employees in office C, 20% work in officer post. Total officer in office C is 14. Find the number of females who is not officer?

A. 48

B. 32

C. 38

D. 30

E. 46

Solution

Common Calculation

Lets male in A is 7x and male in B is 6x.

Female in A is 7x – 12

Female in B is [7x – 12] × 5 /6

Male in D is 90 – 7x.

Male in C is [90 -7x] × 5/8

Female in D is [90 – 7x] × 3 /4

Number of females in C is [90 – 7x] × [5/8] + 10

ATQ, [7x – 12] × 5 /6 × [ 160/100] = [90 -7x] × 5/8 +10

Or, 9.33x – 16 = 56.25 – 4.375x + 10

Or, 13.705x = 82.25

Or, x = 82.25 / 13.705 = 6

male in A is 7×6 = 42 and male in B is 6×6 = 36

Female in A is 7x – 12 = 42 -12 = 30

Female in B is [7x – 12] × 5 /6 = 30 × 5 /6 = 25

Male in D is 90 – 7x = 90 -42 = 48

Male in C is [90 -7x] × 5/8 = 48 × 5 /8 = 30

Female in D is [90 – 7x] × 3 /4 = 48 × 3 /4 = 36

Number of females in C is 30 + 10 = 40

So, t = 36 -25 = 11

So, y = 36 + 25 = 61

So, z = 36 +30 = 66

So, u = 40 – 36 = 4

Office	Male	Female
A	42	30
B	36	25
C	30	40
D	48	36

Calculation

In office C:

Male = 30, 20% are officers ⇒ 20% of 30 = 6

Total officers = 14

⇒ Females officers = 14 – 6 = 8

Female in C = 40 ⇒ Non-officer females = 40 – 8 = 32

The correct answer is Option (2).

34. In office D, the male-to-female ratio is 4:3. Difference between male and female in office B is t. In office C, the number of males is 10 fewer than the number of females. Total employee in office B is y. The female-to-female ratio between offices A and B is 6:5. In office A, the number of males is twelve more than the number of females. Sum of male employee in office C and D is z. The male-to-male ratio between offices C and D is 5:8. The combined number of males in offices A and D is 90. Difference between number of male in office C and number of female in Office D is u. The male-to-male ratio between offices A and B is 7:6. The number of females in office C is 60% more than the number of females in office B.

Question:

Ratio of male employee in office D and E is 4:7. Total number of employees in office E is 112. Find the female employee in office E?

A. 22

B. 26

C. 32

D. 36

E. 28

Solution

Common Calculation

Lets male in A is 7x and male in B is 6x.

Female in A is 7x – 12

Female in B is [7x – 12] × 5 /6

Male in D is 90 – 7x.

Male in C is [90 -7x] × 5/8

Female in D is [90 – 7x] × 3 /4

Number of females in C is [90 – 7x] × [5/8] + 10

ATQ, [7x – 12] × 5 /6 × [ 160/100] = [90 -7x] × 5/8 +10

Or, 9.33x – 16 = 56.25 – 4.375x + 10

Or, 13.705x = 82.25

Or, x = 82.25 / 13.705 = 6

male in A is 7×6 = 42 and male in B is 6×6 = 36

Female in A is 7x – 12 = 42 -12 = 30

Female in B is [7x – 12] × 5 /6 = 30 × 5 /6 = 25

Male in D is 90 – 7x = 90 -42 = 48

Male in C is [90 -7x] × 5/8 = 48 × 5 /8 = 30

Female in D is [90 – 7x] × 3 /4 = 48 × 3 /4 = 36

Number of females in C is 30 + 10 = 40

So, t = 36 -25 = 11

So, y = 36 + 25 = 61

So, z = 36 +30 = 66

So, u = 40 – 36 = 4

Office	Male	Female
A	42	30
B	36	25
C	30	40
D	48	36

Calculation

Ratio of male in D:E = 4:7

Male in D = 48 ⇒ 4x = 48

⇒ x = 12

⇒ Male in E = 7x = 84

Total employees in E = 112 ⇒ Female = 112 – 84 = 28

The correct answer is Option (5).

35. In office D, the male-to-female ratio is 4:3. Difference between male and female in office B is t. In office C, the number of males is 10 fewer than the number of females. Total employee in office B is y. The female-to-female ratio between offices A and B is 6:5. In office A, the number of males is twelve more than the number of females. Sum of male employee in office C and D is z. The male-to-male ratio between offices C and D is 5:8. The combined number of males in offices A and D is 90. Difference between number of male in office C and number of female in Office D is u. The male-to-male ratio between offices A and B is 7:6. The number of females in office C is 60% more than the number of females in office B.

Question:

Find the difference between total number of employees in office A and B together and total number of employees in office C and D together?

A. 29

B. 25

C. 21

D. 23

E. 31

Solution

Common Calculation

Lets male in A is 7x and male in B is 6x.

Female in A is 7x – 12

Female in B is [7x – 12] × 5 /6

Male in D is 90 – 7x.

Male in C is [90 -7x] × 5/8

Female in D is [90 – 7x] × 3 /4

Number of females in C is [90 – 7x] × [5/8] + 10

ATQ, [7x – 12] × 5 /6 × [ 160/100] = [90 -7x] × 5/8 +10

Or, 9.33x – 16 = 56.25 – 4.375x + 10

Or, 13.705x = 82.25

Or, x = 82.25 / 13.705 = 6

male in A is 7×6 = 42 and male in B is 6×6 = 36

Female in A is 7x – 12 = 42 -12 = 30

Female in B is [7x – 12] × 5 /6 = 30 × 5 /6 = 25

Male in D is 90 – 7x = 90 -42 = 48

Male in C is [90 -7x] × 5/8 = 48 × 5 /8 = 30

Female in D is [90 – 7x] × 3 /4 = 48 × 3 /4 = 36

Number of females in C is 30 + 10 = 40

So, t = 36 -25 = 11

So, y = 36 + 25 = 61

So, z = 36 +30 = 66

So, u = 40 – 36 = 4

Office	Male	Female
A	42	30
B	36	25
C	30	40
D	48	36

Calculation

Total employees in A and B = A + B = 72 + 61 = 133

Total employees in C and D = C + D = 70 + 84 = 154

Difference = 154 − 133 = 21

The correct answer is Option (3).

36. Find the wrong term in the following series.

215, 341, 509, 725, 995, 1330

A. 1330

B. 995

C. 725

D. 341

E. 215

Solution

Given series:

215, 341, 509, 725, 995, 1330

Calculation :

The series follows the following pattern:

⇒ (6)³ – 1 = 215

⇒ (7)³ – 2 = 341

⇒ (8)3 – 3 = 509

⇒ (9)3 – 4 = 725

⇒ (10)3 – 5 = 995

⇒ (11)3 – 6 = 1325

The wrong term is 1330

Hence the wrong term in the series is 1330.

37. Find the wrong term in the following series.

24, 32, 38, 62, 70, 102

A. 32

B. 38

C. 70

D. 102

E. 62

Solution

Given Series:

24, 32, 38, 62, 70, 102

Calculation:

The series follows the logic of = Product of digits of the number + Number

⇒ 24 + (2 x 4) = 24 + 8 = 32

⇒ 32 + (3 x 2) = 32 + 6 = 38

⇒ 38 + (3 x 8) = 38 + 24 = 62

⇒ 62 + (6 x 2) = 62 + 12 = 74

⇒ 74 + (7 x 4) = 74 + 28 = 102

∴ Wrong number in the series is 70.

38. Find the wrong term in the following series.

27, 345, 122, 2199, 291, 6861

A. 27

B. 345

C. 122

D. 2199

E. 291

Solution

Given Series:

27, 345, 122, 2199, 291, 6861

Calculation:

⇒ 2 + 5² = 27

⇒ 2 + 7³ = 345

⇒ 2 + 11² = 123

⇒ 2 + 13³ = 2199

⇒ 2 + 17² = 291

⇒ 2 + 19³ = 6861

∴ Wrong number in the series is 122.

39. Find the wrong term in the given series.

50, 51, 76, 157, 326, 605, 1056

A. 76

B. 1056

C. 157

D. 51

E. 605

Solution

Solution:

The series follows the following pattern:

⇒50 + 1² = 51

⇒51 + 5² = 76

⇒76 + 9² = 157

⇒157 + 13² = 326

⇒326 + 17² = 615

⇒615 + 21²= 1056

⇒ The wrong term in the series will be 605.

Hence, 605 is the correct answer.

40. Find the wrong term in the given series.

142, 144, 148, 156, 176

A. 144

B. 148

C. 156

D. 176

E. 142

Solution

The logic followed here is as follows:

⇒ 142 + 21 = 144

⇒ 144 + 22 = 148

⇒ 148 + 23 = 156

⇒ 156 + 24 = 172

So, the wrong term is 176

Hence, the correct answer is 176.

41. Given that A and B together can finish a task in 12.5 days, and B and C together can do it in 18.75 days, and also A and C together can do it in 15 days, how long would it take for A, B, C and D (with D having only 40% of C’s efficiency) to complete the same task collectively?

A. 9(1/3)

B. 9(17/27)

C. 9(2/3)

D. 9(7/27)

E. 9(1/3)

Solution

Solution:

A and B together can finish a task in 12.5 days.

B and C together can do it in 18.75 days.

A and C together can do it in 15 days.

D having only 40% of C’s efficiency.

Total work = Time × Efficiency

A + B = 12.5 = 25/2 days

B + C = 18.75 = 75/4 days

A + C = 15 days

Total work = LCM(25/2, 75/4, 15) = 75 units

Efficiency of A + B = 75/(25/2) = 6

Efficiency of B + C = 75/(75/4) = 4

Efficiency of A + C = 75/15 = 5

Efficiency of A + B + C = 15/2 = 7.5

Efficiency of C = 7.5 – 6 = 1.5

Efficiency of D = 1.5 × 0.4 = 0.6

Time taken by A, B, C and D to complete the task collectively = 75/8.1

= 750/81 = 250/27

= 9(7/27)

Hence, option(4) is correct.

42. Marked price of the article is Rs.2500. It is sold after a successive discount of 20% and D% and gained a profit of 20%. If the cost price of the article is Rs.1500. Find the selling price of the article if the article is sold at the 10% profit.

A. Rs. 1750

B. Rs. 1650

C. Rs. 1550

D. Rs. 1450

E. Rs. 1850

Solution

Solution:

CP = Rs.1500

Profit % = 20%

SP = 1500 × 120/100 = Rs.1800

MP = Rs.2500

2500 × (80/100) × (100 – D)/100 = 1800

20 × (100 – D) = 1800

100 – D = 1800/20

100 – D = 90

– D = 90 – 100

– D = –10

D = 10%

The selling price of the article = 1500 × (110/100) = Rs. 1650

43. Directions: Study the information carefully and answer the questions.

The pie chart shows the % distribution of employees attending mandatory cybersecurity training sessions across five day time slots (Morning, Midday, Afternoon, Evening, Night).

24.24% less of the total number of employees attending training during the Evening slot is equal to 2500.

Question:

If the number of employees in the Afternoon session increases by 40%, and the Night session decreases by 50%, find the new combined total.

A. 3850

B. 4500

C. 4400

D. 5500

E. 5300

Solution

General Solution:

We are given:

Evening attendees 24.24% of Evening attendees = 2500

Evening attendees × (1 – 0.2424) = 2500

Evening attendees × 0.7576 = 2500

Evening attendees = 2500 / 0.7576 ≈ 3300 (Rounded to nearest whole number)

Evening slot attendees ≈ 3,300

Express Percentages in Terms of x

Evening percentage = x + 10%

Since 3,300 employees correspond to x + 10% of the total workforce T:

x + 10% × T = 3300

T = 3300/ (x + 10) × 100

The sum of all time-slot percentages must equal 100%:

(x + 13) + (x + 8) + (x + 3) + (x + 10) + (x + 6) = 100

5x + 40 = 100

5x = 60 ⟹ x = 12

Value of x = 12

Substitute x = 12 :

Morning:12 + 13 = 25%

Midday: 12 + 8 = 20%

Afternoon: 12 + 3 = 15%

Evening: 12 + 10 = 22%

Night: 12 + 6 = 18%

25 + 20 + 15 + 22 + 18 = 100%

From Evening slot:

22% × T = 3300 ⟹ T = 3300 / 0.22 = 15,000

Multiply total employees by each percentage:

Time Slot	Percentage	Number of Employees	Calculation
Morning	25%	3,750	0.25×15,0000.25×15,0000.25×15,000
Midday	20%	3,000	0.20×15,0000.20×15,0000.20×15,000
Afternoon	15%	2,250	0.15×15,0000.15×15,0000.15×15,000
Evening	22%	3,300	0.22×15,0000.22×15,0000.22×15,000
Night	18%	2,700	0.18×15,0000.18×15,0000.18×15,000

Calculations:

Original Afternoon employees = 2,250

Increase by 40%:

New Afternoon = 2,250 + (0.40 × 2,250) = 2,250 + 900 = 3,150

Original Night employees = 2,700

Decrease by 50%:

New Night = 2,700 − (0.50 × 2,700) = 2,700 − 1,350 = 1,350

New Total = New Afternoon + New Night = 3,150 + 1,350 = 4,500

Thus, the correct answer is 4,500.

44. Directions: Study the information carefully and answer the questions.

The pie chart shows the % distribution of employees attending mandatory cybersecurity training sessions across five day time slots (Morning, Midday, Afternoon, Evening, Night).

24.24% less of the total number of employees attending training during the Evening slot is equal to 2500.

Question:

The total number of employees attending the Midday training session is 10% less than those attending the Morning session. If the ratio of technical to non-technical staff in the Midday session is 2:3, find the number of technical staff attending Midday.

A. 1400

B. 1600

C. 1550

D. 1350

E. 1450

Solution

General Solution:

We are given:

Evening attendees 24.24% of Evening attendees = 2500

Evening attendees × (1 – 0.2424) = 2500

Evening attendees × 0.7576 = 2500

Evening attendees = 2500 / 0.7576 ≈ 3300 (Rounded to nearest whole number)

Evening slot attendees ≈ 3,300

Express Percentages in Terms of x

Evening percentage = x + 10%

Since 3,300 employees correspond to x + 10% of the total workforce T:

x + 10% × T = 3300

T = 3300/ (x + 10) × 100

The sum of all time-slot percentages must equal 100%:

(x + 13) + (x + 8) + (x + 3) + (x + 10) + (x + 6) = 100

5x + 40 = 100

5x = 60 ⟹ x = 12

Value of x = 12

Substitute x = 12 :

Morning:12 + 13 = 25%

Midday: 12 + 8 = 20%

Afternoon: 12 + 3 = 15%

Evening: 12 + 10 = 22%

Night: 12 + 6 = 18%

25 + 20 + 15 + 22 + 18 = 100%

From Evening slot:

22% × T = 3300 ⟹ T = 3300 / 0.22 = 15,000

Multiply total employees by each percentage:

Time Slot	Percentage	Number of Employees	Calculation
Morning	25%	3,750	0.25×15,0000.25×15,0000.25×15,000
Midday	20%	3,000	0.20×15,0000.20×15,0000.20×15,000
Afternoon	15%	2,250	0.15×15,0000.15×15,0000.15×15,000
Evening	22%	3,300	0.22×15,0000.22×15,0000.22×15,000
Night	18%	2,700	0.18×15,0000.18×15,0000.18×15,000

Calculations:

Given:

1. Midday attendees = Morning attendees – 10%

2. Ratio of technical to non-technical in Midday = 2:3

Express Midday in terms of Morning:

Let Morning = M

⇒ Midday = M – 0.10M = 0.90M

Calculate technical staff in Midday:

Technical:Non-technical = 2:3 ⇒ Total parts = 5

Technical staff = (2/5) × Midday = (2/5) × 0.90M = 0.36M

⇒ M = 3,750 (from general solution)

Calculate technical staff:

Technical staff = 0.36 × 3,750 = 1,350

Thus, the correct answer is 1,350

45. Directions: Study the information carefully and answer the questions.

The pie chart shows the % distribution of employees attending mandatory cybersecurity training sessions across five day time slots (Morning, Midday, Afternoon, Evening, Night).

24.24% less of the total number of employees attending training during the Evening slot is equal to 2500.

Question:

The combined attendees for Morning and Evening sessions is what percentage more/less than the combined Night and Afternoon sessions?

A. No change

B. 42.42%

C. 11.11%

D. 22.24%

E. 53.57%

Solution

General Solution:

We are given:

Evening attendees 24.24% of Evening attendees = 2500

Evening attendees × (1 – 0.2424) = 2500

Evening attendees × 0.7576 = 2500

Evening attendees = 2500 / 0.7576 ≈ 3300 (Rounded to nearest whole number)

Evening slot attendees ≈ 3,300

Express Percentages in Terms of x

Evening percentage = x + 10%

Since 3,300 employees correspond to x + 10% of the total workforce T:

x + 10% × T = 3300

T = 3300/ (x + 10) × 100

The sum of all time-slot percentages must equal 100%:

(x + 13) + (x + 8) + (x + 3) + (x + 10) + (x + 6) = 100

5x + 40 = 100

5x = 60 ⟹ x = 12

Value of x = 12

Substitute x = 12 :

Morning:12 + 13 = 25%

Midday: 12 + 8 = 20%

Afternoon: 12 + 3 = 15%

Evening: 12 + 10 = 22%

Night: 12 + 6 = 18%

25 + 20 + 15 + 22 + 18 = 100%

From Evening slot:

22% × T = 3300 ⟹ T = 3300 / 0.22 = 15,000

Multiply total employees by each percentage:

Time Slot	Percentage	Number of Employees	Calculation
Morning	25%	3,750	0.25×15,0000.25×15,0000.25×15,000
Midday	20%	3,000	0.20×15,0000.20×15,0000.20×15,000
Afternoon	15%	2,250	0.15×15,0000.15×15,0000.15×15,000
Evening	22%	3,300	0.22×15,0000.22×15,0000.22×15,000
Night	18%	2,700	0.18×15,0000.18×15,0000.18×15,000

Calculations:

Morning + Evening = 3,750 + 3,300 = 7,050

Night + Afternoon = 2,700 + 2,250 = 4,950

Difference = 7,050 – 4,950 = 2,100

Percentage More = (Difference / Comparison Group) × 100

⇒ (2,100 / 4,950) × 100 ≈ 42.42%

Thus, the combined Morning and Evening sessions have 42.42% more attendees than Night and Afternoon sessions combined.

46. Directions: Study the information carefully and answer the questions.

The pie chart shows the % distribution of employees attending mandatory cybersecurity training sessions across five day time slots (Morning, Midday, Afternoon, Evening, Night).

24.24% less of the total number of employees attending training during the Evening slot is equal to 2500.

Question:

The number of technical staff in the Night session is 300 more than non-technical staff. The technical staff in Morning is 25% more than the non-technical staff in Night. Find non-technical staff in Morning.

A. 2150

B. 2250

C. 2350

D. 2400

E. 2450

Solution

General Solution:

We are given:

Evening attendees 24.24% of Evening attendees = 2500

Evening attendees × (1 – 0.2424) = 2500

Evening attendees × 0.7576 = 2500

Evening attendees = 2500 / 0.7576 ≈ 3300 (Rounded to nearest whole number)

Evening slot attendees ≈ 3,300

Express Percentages in Terms of x

Evening percentage = x + 10%

Since 3,300 employees correspond to x + 10% of the total workforce T:

x + 10% × T = 3300

T = 3300/ (x + 10) × 100

The sum of all time-slot percentages must equal 100%:

(x + 13) + (x + 8) + (x + 3) + (x + 10) + (x + 6) = 100

5x + 40 = 100

5x = 60 ⟹ x = 12

Value of x = 12

Substitute x = 12 :

Morning:12 + 13 = 25%

Midday: 12 + 8 = 20%

Afternoon: 12 + 3 = 15%

Evening: 12 + 10 = 22%

Night: 12 + 6 = 18%

25 + 20 + 15 + 22 + 18 = 100%

From Evening slot:

22% × T = 3300 ⟹ T = 3300 / 0.22 = 15,000

Multiply total employees by each percentage:

Time Slot	Percentage	Number of Employees	Calculation
Morning	25%	3,750	0.25×15,0000.25×15,0000.25×15,000
Midday	20%	3,000	0.20×15,0000.20×15,0000.20×15,000
Afternoon	15%	2,250	0.15×15,0000.15×15,0000.15×15,000
Evening	22%	3,300	0.22×15,0000.22×15,0000.22×15,000
Night	18%	2,700	0.18×15,0000.18×15,0000.18×15,000

Calculations:

Total Night attendees = 18% of 15,000 = 2,700

Let Non-technical (Night) = N

⇒ Technical (Night) = N + 300

Total Night staff:

N + (N + 300) = 2,700

2N + 300 = 2,700

2N = 2,400 ⇒ N = 1,200

Technical (Morning) = 1.25 × Non-technical (Night)

= 1.25 × 1,200 = 1,500

Total Morning attendees = 25% of 15,000 = 3,750

Non-technical (Morning) = Total Morning – Technical (Morning)

= 3,750 – 1,500 = 2,250

Thus, the correct answer is 2,250.

47. Directions: Study the information carefully and answer the questions.

The pie chart shows the % distribution of employees attending mandatory cybersecurity training sessions across five day time slots (Morning, Midday, Afternoon, Evening, Night).

24.24% less of the total number of employees attending training during the Evening slot is equal to 2500.

Question:

What is the ratio of attendees in Morning and Evening sessions to the Afternoon session?

A. 20:11

B. 17:61

C. 32:83

D. 47:15

E. None of these

Solution

General Solution:

We are given:

Evening attendees 24.24% of Evening attendees = 2500

Evening attendees × (1 – 0.2424) = 2500

Evening attendees × 0.7576 = 2500

Evening attendees = 2500 / 0.7576 ≈ 3300 (Rounded to nearest whole number)

Evening slot attendees ≈ 3,300

Express Percentages in Terms of x

Evening percentage = x + 10%

Since 3,300 employees correspond to x + 10% of the total workforce T:

x + 10% × T = 3300

T = 3300/ (x + 10) × 100

The sum of all time-slot percentages must equal 100%:

(x + 13) + (x + 8) + (x + 3) + (x + 10) + (x + 6) = 100

5x + 40 = 100

5x = 60 ⟹ x = 12

Value of x = 12

Substitute x = 12 :

Morning:12 + 13 = 25%

Midday: 12 + 8 = 20%

Afternoon: 12 + 3 = 15%

Evening: 12 + 10 = 22%

Night: 12 + 6 = 18%

25 + 20 + 15 + 22 + 18 = 100%

From Evening slot:

22% × T = 3300 ⟹ T = 3300 / 0.22 = 15,000

Multiply total employees by each percentage:

Time Slot	Percentage	Number of Employees	Calculation
Morning	25%	3,750	0.25×15,0000.25×15,0000.25×15,000
Midday	20%	3,000	0.20×15,0000.20×15,0000.20×15,000
Afternoon	15%	2,250	0.15×15,0000.15×15,0000.15×15,000
Evening	22%	3,300	0.22×15,0000.22×15,0000.22×15,000
Night	18%	2,700	0.18×15,0000.18×15,0000.18×15,000

Calculations:

Morning + Evening = 3,750 + 3,300 = 7,050

Ratio = (Morning + Evening) : Afternoon

⇒ 7,050 : 2,250

Simplified ratio = 47:15

Thus, the ratio is 47:15.

48. The average of 5 consecutive even numbers is 42, If the smallest even number is 2 more than x and largest even number is 1 less than the y. Find the sum of the 25% of the x and 200% of y.

A. 110

B. 103

C. 133

D. 112

E. 104

Solution

Solution:

The average of five consecutive even numbers = 5 × 42 = 210

Let the even numbers be a, (a + 2), (a + 4), (a + 6) and (a + 8)

(a + a + 2 + a + 4 + a + 6 + a + 8) = 210

(5a + 20) = 210

a = 190/5 = 38

Smallest even number is 2 more than x

If smallest even number = 38

Value of x = (38 – 2) = 36

Largest even number = 46

Value of y = 46 + 1 = 47

25% of x = 36/4 = 9

200% of y = 47 × (200/100) = 94

Required sum = (9 + 94) = 103

49. A man buys a motorcycle by making a cash down payment of Rs. 10,000 and promises to pay two more yearly installments of Rs. 12,100 each for the next two years. If the rate of interest is 10% per annum, compounded yearly, the cash value of the motorcycle is:

A. Rs. 34,200

B. Rs. 32,100

C. Rs. 31,000

D. Rs. 21,000

E. Rs. 11,000

Solution

Given:

Down payment = Rs. 10,000

Two equal annual installments = Rs. 12,100 each

Interest rate = 10% per annum, compounded yearly

Calculation:

Present value (PV) of the first installment (due after 1 year):

⇒ PV = 12100 ÷ (1 + 10/100) = 12100 ÷ 1.10 = Rs. 11000

Present value (PV) of the second installment (due after 2 years):

⇒ PV = 12100 ÷ (1.10 × 1.10) = 12100 ÷ 1.21 = Rs. 10000

Total cash value of the motorcycle:

⇒ Cash value = Down payment + PV of 1st installment + PV of 2nd installment

⇒ Cash value = 10000 + 11000 + 10000 = Rs. 31,000

Thus, the correct answer is Rs. 31,000.

50. What approximate value will come in the place of the question mark ‘?’ in the following question?

37.5% of 96.03 – 149.98 = ? – 251.89 ÷ 3 – 37% of 3699.89

A. 1329

B. 1339

C. 1239

D. 1229

E. 1393

Solution

Given:

37.5% of 96.03 – 149.98 = ? – 251.89 ÷ 3 – 37% of 3699.89

Concept used:

Follow the ‘BODMAS’ Rule

B ⇒ Bracket, O ⇒ of, D ⇒ Division, M ⇒ Multiplication, A ⇒ Addition, S ⇒ Subtraction

Calculation:

⇒ 37.5% of 96.03 – 149.98 = ? – 251.89 ÷ 3 – 37% of 3699.89

⇒ 37.5% of 96 – 150 = ? – 252 ÷ 3 – 37% of 3700

⇒ 36 – 150 = ? – 84 – 1369

⇒ -114 = ? – 1453

⇒ 1339

∴ The value of ‘?’ is 1339.

51. What approximate value should come in the place of question mark (?) in the following question?

9.1 × 34.98 – 2969.97 ÷ 18.05 × 6.96 + ? = 48.1 × 11.05

A. 1339

B. 1564

C. 1335

D. 1368

E. 1400

Solution

Follow BODMAS rule to solve this question, as per the order given below.

Step – 1: Parts of an equation enclosed in ‘Brackets’ must be solved first, and following BODMAS rule in the bracket –

Step – 2: Any mathematical ‘Of’ or ‘Exponent’ must be solved next.

Step – 3: Next, the parts of the equation that contain ‘Division’ and ‘Multiplication’ are calculated.

Step – 4: Last but not the least, the parts of the equation that contain ‘Addition’ and ‘Subtraction’ should be calculated.

Since, we need to find out the approximate value, we can write these values to their nearest integers.

Given expression is

9.1 × 34.98 – 2969.97 ÷ 18.05 × 6.96 + ? = 48.1 × 11.05

⇒ 9 × 35 – 2970 ÷ 18 × 7 + ? = 48 × 11

⇒ 9 × 35 – 165 × 7 + ? = 48 × 11

⇒ 315 – 1155 + ? = 528

⇒ ? = 528 – 315 + 1155

⇒ ? = 1368

Hence, 1368 will come in the place of (?).

52. What approximate value should come in the place of the question mark (?) in the given question?

12.5% of 1183.76 + 24.89% of 419.78 + 19.78% of 520 = ?

A. 345

B. 357

C. 369

D. 352

E. 389

Solution

Solution :

Concept used :

Follow the BODMAS rule to solve this question, as per the question is given below:

Step 1: Parts of an equation enclosed in ‘ Brackets ‘ must be solved first and in the bracket,

Step 2: Any mathematical ‘ of ‘ or ‘exponent’ must be solved next,

Step 3: Next, The part of the equation that contains ‘Division’ and ‘multiplication’ are calculated,

Step 4: Last but not least, the parts of the equation that contains ‘Addition ‘ and ‘Subtraction’ should be calculated

Given :

⇒ 12.5% of 1183.76 + 24.89% of 419.78 + 19.78% of 520 = ?

Approximate the number to its nearest value

⇒ 12.5% of 1184 + 25% of 420 + 20% of 520 = ?

⇒ 12.5 × 1184/100 + 25 × 420/100 + 20 × 520/100 = ?

⇒ 148 + 105 + 104 = ?

⇒ ? = 357

Hence, 357 is the correct answer.

53. What approximate value will come in the place of the question mark ‘?’ in the following question?

24.98² – 1039.89 + 260.12 ÷ 13 = 506.08 – ?² + 17.97²

A. 35

B. 45

C. 25

D. 55

E. 65

Solution

Given:

24.98² – 1039.89 + 260.12 ÷ 13 = 506.08 – ?² + 17.97²

Concept used:

Follow the ‘BODMAS’ Rule

B ⇒ Bracket, O ⇒ of, D ⇒ Division, M ⇒ Multiplication, A ⇒ Addition, S ⇒ Subtraction

Calculation:

⇒ 24.98² – 1039.89 + 260.12 ÷ 13 = 506.08 – ?² + 17.97²

⇒ 25² – 1040 + 260 ÷ 13 = 506 – ?² + 18²

⇒ 625 – 1020 = 506 – ?² + 324

⇒ ?² = 506 + 324 + 1020 – 625

⇒ ?²= 1850 – 625

⇒ ? = √1225

⇒ ? = 35

∴ The value of ‘?’ is 35.

54. What approximate value should come in place of the question mark (?) in the following question?

29.95 % of 570.123 × 20.011 = (?)² – 19.998 – 2 x (80.169)

A. 58

B. 59

C. 57

D. 56

E. 60

Solution

Concept used :

Follow the BODMAS rule to solve this question, as per the question is given below:

Step 1: Parts of an equation enclosed in ‘ Brackets ‘ must be solved first and in the bracket,

Step 2: Any mathematical ‘ of ‘ or ‘exponent’ must be solved next,

Step 3: Next, The part of the equation that contains ‘Division’ and ‘multiplication’ are calculated,

Step 4: Last but not least, the parts of the equation that contains ‘Addition ‘ and ‘Subtraction’ should be calculated.

In approximation, we used the concept that if the digit after the decimal is 5 or more than 5 we increase the digit before the decimal by 1 but if the digit after the decimal is less than 5 we will not increase the digit before the decimal by 1.

Calculations:

29.95 % of 570.123 × 20.011 = (?)2 – 19.998 – 2 x (80.169)

30% of 570 × 20 = (?)² – 20 – 2 x (80)

30/100 × 570 × 20 = (?)² – 20 – 160

(?)2 = 3420 + 20 + 160

(?)2 = 3440 + 160 = 3600

(?) = 60

We get an approximate value of (?) is 60.

55. A and B started a business by investing ₹5000 and ₹3000 respectively. After 3 months, A increased his investment by ₹500. After 6 more months, B increased his investment by ₹y. If the ratio of the profits of A to B at the end of the year is 43:40, then find the value of 5y.

A. 20000

B. 24000

C. 28000

D. 32000

E. 40000

Solution

Given:

A invests ₹5000 initially, increases to ₹5500 after 3 months

B invests ₹3000 initially, increases by ₹y after 6 months (i.e., at the end of 6 months)

Profit ratio A : B = 43 : 40

Formula used:

Profit ∝ Investment × Time

Calculations:

A’s investment:

₹5000 for 3 months = 5000 × 3 = 15000

₹5500 for 9 months = 5500 × 9 = 49500

Total = 64500

B’s investment:

₹3000 for 9 months = 3000 × 9 = 27000

₹(3000 + y) for 3 months = (3000 + y) × 3 = 9000 + 3y

Total = 27000 + 9000 + 3y = 36000 + 3y

Profit ratio:

64500 : (36000 + 3y) = 43 : 40

⇒ 21500 : (12000 + y) = 43 : 40

⇒ 21500 / (12000 + y) = 43 / 40

⇒ 40 × 21500 = 43 × (12000 + y)

⇒ 860000 = 516000 + 43y

⇒ 344000 = 43y

⇒ y = 8000

⇒ 5y = 5 × 8000 = 40000

∴ The value of 5y is ₹40,000

56. The speed of the train A is 108 kmph and the length of the bridge is 6/7 of the length of the train and the time taken by the train A to cross the pole and bridge is 7 seconds and x seconds respectively.If the length of the train B is (45x). Then find the length of train B.

A. 550 m

B. 420 m

C. 585 m

D. 650 m

E. 570 m

Solution

Given:

Speed of train A = 108 kmph

Length of the bridge = 6/7 of the length of train A

Time taken by train A to cross a pole = 7 seconds

Time taken by train A to cross the bridge = x seconds

Length of train B = 45x

Concept Used:

Convert the speed from kmph to m/s using the conversion factor 1 kmph = 5/18 m/s.

Distance = Speed × Time.

Solution:

Speed of train A = 108 × (5/18) = 30 m/s

The train crosses a pole in 7 seconds, so:

Length of train A = Speed × Time = 30 × 7 = 210 meters

Length of the bridge = (6/7) × Length of train A = (6/7) × 210 = 180 meters

Total Distance to Cross the Bridge = Length of train A + Length of the bridge = 210 + 180 = 390 meters

Time to cross the bridge = Total distance / Speed = 390 / 30 = 13 seconds

Length of train B = 45x = 45 × 13 = 585 meters

The length of train B is 585 meters.

57. A committee consist of 4 men and 3 women selected from 7 men and 6 women. One of the selected women is chosen as chairman, find the number of ways of selecting the chairman.

A. ⁷C₄ × ⁶C₃

B. ⁷C₄ × ⁶C₃ × 3

C. ⁷C₄ × ⁶C₃ × 3!

D. 703

E. 720

Solution

Concept:-

A selection of r items from a collection of n items, such that the order of selection does not matter = ⁿC_r

Calculation:-

Number of ways of choosing the committee = 7C4 × 6C3

Now three women are there out of which one can be made chairman.

Total number of ways = 7C4 × 6C3 × 3

58. The given pie chart shows the percentage of distribution of total number of employees in IT, Accounts, Marketing and HR department respectively.

The given table shows percentage of female employee out male employee in each department and ratio of junior to senior employee in each department.

Department	Percentage of female employee out of male employee	Ratio of Junior to senior employee
IT	120%	3:5
Accounts	75%	1:3
Marketing	60%	3:5
HR	80%	4:5

Note – Total number of employee = Number of senior employee + Number of Junior employee = Number of male employee + Number of female employee. Total number of Senior employees in HR department is 80.

Question:

Total number of employees in Sales department in the company is average number of employees in accounts and HR department. Number of male employees in sales department is 25% more than the same in HR department and Number of junior employees in sales department is 33.33% more than the same in IT department. Find the difference between number of senior and female employee in sales department?

A. 16

B. 18

C. 19

D. 12

E. 14

Solution

Total number of senior employees in HR department is 80.

So, Number of junior employees in HR department is 80 × 4 /5 = 64

So, total number of employees in HR department is 80 + 64 = 144

So, 18% = 144, 100% = 8 × 100 = 800

So, Number of employee in IT department is 800 × 22 /100 = 176

Let number of male employees in IT department is 100x. Number of female employees in IT department is 100x × 120 /100 = 120x

So, Ratio of male and female employee in IT department is 5:6.

Number of male employees in IT department is 176 × 5 / 11 = 80

Number of female employees in IT department is 176 – 80 = 96

Number of junior employees in IT department is 176 × 3 / 8 = 66

Number of senior employees in IT department is 176 – 66 = 110

Similarly, we can calculate others values also which is given in the table.

Department	Number of male employees	Number of female employees	Number of Junior employees	Number of Senior employees
IT	80	96	66	110
Accounts	128	96	56	168
Marketing	160	96	96	160
HR	80	64	64	80

Calculation

Total number of employees in sales department is [ 224 + 144]/2 =184

Number of males employees in sales is 80 ×125/100 = 100

Number of females employees in sales 184 – 100 = 84

Number of junior employees in sales 66 × 4/3 = 88

So, Number of senior employees in sales 184 – 88 = 96

So, required difference is 96 – 84 = 12

59. The given pie chart shows the percentage of distribution of total number of employees in IT, Accounts, Marketing and HR department respectively.

The given table shows percentage of female employee out male employee in each department and ratio of junior to senior employee in each department.

Department	Percentage of female employee out of male employee	Ratio of Junior to senior employee
IT	120%	3:5
Accounts	75%	1:3
Marketing	60%	3:5
HR	80%	4:5

Question:

62.5% female employee in accounts department is senior employee. Find the number of male junior employees in same department?

A. 62

B. 66

C. 20

D. 85

E. 88