1.The constitution of India was framed by a Constitution Assembly set up under the ______ of 1946.
A. Cabinet Mission Plan
B. Cabinet Missionary Plan
C. Cabinet Ministry Plan
D. Cabinet Ministers Plan
Solutions
The correct answer is option 1 i.e Cabinet Mission Plan.
- The constitution of India was framed by a Constitution Assembly set up under the Cabinet Mission Plan of 1946.
- The Cabinet Mission came to India to discuss the transfer of power from the British Government to the Indian leadership with a view to preserving the peace and democracy of India.
- The Cabinet Mission Plan was a declaration issued by the Cabinet Mission and the Viceroy, Lord Wavell, on May 16, 1946, which included recommendations on India ‘s constitutional future after the inability of Indian political parties and members to find an agreement.
- The Cabinet Mission members were: Lord Pethick-Lawrence, President of the Board of Trade, Secretary of State for India, Sir Stafford Cripps and A.V. Alexander, First Lord of Admiralty.
- In September 1945, the newly elected Labor Government in Britain announced its intention to set up a Constituent Assembly for India to establish the Constitution of India; the Cabinet Mission was sent to India in March 1946 to do so.
2. The classification of elements by which of the following leads to the discovery of new elements?
A. Mendeleev
B. Moseley
C. Dobereiner
D. Newlands
Solutions
The correct answer is option 1 i.e Mendeleev.
- Dimitri Mendeleev is actually known as the “father of the periodic table”. We have our current periodic table due to his classification efforts.
- Mendeleev began his research in the 1800s when chemists learned about only 63 elements.
- Mendeleev first noticed the chemical properties of all 63 elements.
- Dobereiner’s attempt to identify the elements is usually seen as the first recorded attempt.
- He defined and grouped elements with similar properties into three groups.
3. Find the mirror image of the given figure:

A. C
B. D
C. B
D. A
Solutions
The mirror image of the given figure is,

Hence, option 4 is the correct answer.
4. If an agent does a work W in time t, then power is given by:
A. Time/work
B. Time × work
C. Time – work
D. Work/time
Solutions
The correct answer is option 4 i.e Work/time.
- If an agent does a work W in time t, then power is given by Work/time.
- Power is the amount of transmitted or converted energy per unit time.
- The unit of power in the International System of Units is the watt, equivalent to one joule per second. Power is sometimes termed activity in older works.
- It is a scalar quantity.
- The dimension of power is L2MT-3.
- 1 horsepower = 746 watts.
5. In a code language, KEEN in written as PVVM. What is the code of PEAL?
A. KVZP
B. KVZO
C. KVZN
D. KVZM
Solutions

The pattern followed is,

Hence, “KVZO” is the correct answer.
6. The angle between the incident ray and the reflected ray is 80°. Then what will be the value of the incident angle?
A. 40°
B. 90°
C. 60°
D. 80°
Solutions
The correct answer is option 1, i.e. 40°.
- According to the law of reflection when a ray of light reflects off a surface than the angle of incidence is equal to the angle of reflection.

Now, Angle of incidence(i) = Angle of reflection(v)
According to the question, Angle between the incident ray and reflected ray is 80°.
From the diagram, i + v = 80°
So, 2i = 80°
Then, the incident angle = 40°
7. Which country has won the 27th Sultan Azlan Shah cup?
A. Australia
B. Pakistan
C. Newzealand
D. England
Solutions
The correct answer is option 1 i.e Australia.
- Australia has won the 27th Sultan Azlan Shah Cup.
- The 2018 Sultan Azlan Shah Cup was Sultan Azlan Shah Cup’s 27th Edition.
- It was held March 3-10, 2018 in Ipoh, Perak, Malaysia.
- In this year’s cup, the number of teams was the same as last year ‘s competition where six teams competed.
- Australia clinched its 10th tournament title after defeating England 2–1 in the final match.
- Gonzalo Peillat was the top goalscorer of this tournament.
- India got the 5th position in this tournament.
8. When an object is moving with a uniform velocity, what is its acceleration?
A. Non-uniform
B. Negative
C. Positive
D. Zero
Solutions
The correct answer is option 4 i.e Zero.
CONCEPT:
- Velocity (v): The rate of change of displacement is called velocity.
- Uniform velocity: The motion in which a body is moving with a constant velocity (no acceleration) is called uniform velocity motion.
- Acceleration (a): The ‘Rate of velocity change is called acceleration.
- When velocity either increases or decreases over time or changes its direction, acceleration is produced which is positive if it increases and negative if it decreases, and this also depends on the direction of reference that we have taken positively.
- Therefore, as in this case velocity is constant, its direction and magnitude are constant. There is no acceleration there.
a = (v2 – v1)/(t2 – t1)
If the change in time is infinitesimally small then we have the differential operator representation:
Acceleration (a) = dv/dt
⇒ dv = change in velocity
⇒ dt = change in time
EXPLANATION:
Now at constant quantity: zero acceleration
- When an object is moving with a uniform velocity, its acceleration is Zero. So option 4 is correct.
9. Which of the following statements is/are true/false about the speed of sound in different media at 25° C?
a. In oxygen gas, the speed of sound is 316 m/min.
b. In water (distilled), the speed of sound is 1498 m/min.
A. Only B is true
B. Only A is true
C. Neither A nor B are true
D. Both A and B are true
Solutions
The correct option is Neither A nor B are true
- Sound speed is the distance a sound wave travels per unit of time, as it propagates across an elastic medium.
- The sound speed in the air at 20 ° C (68 ° F) is about 343 meters per second, or a kilometre in 2.9 s, or a mile in 4.7 s.
- It strongly depends on both temperature and the medium through which a sound wave propagates.
- The speed of the sound in an ideal gas depends solely on its temperature and composition.
- The velocity in ordinary air is weakly dependent on frequency and pressure, slightly deviating from ideal behaviour.
10. An object of mass 100 kg is accelerated uniformly from a velocity of 5 ms-1 to 15 ms-1 in 5 s. Find the magnitude of force exerted on the object.
A. 200 J
B. 200 Kg
C. 200 Pa
D. 200 N
Solutions
CONCEPT:
- Force: The interaction which after applying on a body changes or try to change the state of rest or state of motion of the body is called force.
Force (F) = Mass (m) × acceleration (a)
There are three equations of motion:
V = u + at
V2 = u2 + 2 a S
S=ut+12at2
Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.
CALCULATION:
Given that:
mass of the object (m) = 100 kg.
Time taken (t) = 5 sec.
⇒ Initial velocity = 5 m/s.
⇒ Final velocity = 15 m/s.
Use V = u + at
15 = 5 + a × 5
So a = 2 m/s2
Force = m a = 100 × 2 = 200 N
11. Find the mirror image of the given figure if the mirror is placed at line MN:

A. D
B. B
C. C
D. A
Solutions
The mirror image of the given figure if the mirror is placed at line MN is,

Hence, option 2 is the correct answer.
12. Pipe A can fill an empty cistern in 4.5 hours. Whereas along with Pipe B, it can fill it in 2.25 hours. If only Pipe A is turned on for half an hour after which Pipe B is also turned on, how long will it take in all to fill the cistern?
A. 2 hours 30 minutes
B. 2 hours
C. 2 hours 20 minutes
D. 2 hours 15 minutes
Solutions
Concept used:
Work = time × efficiency
Calculation:
| work | time | efficiency |
| A | 4.5 hours | 4.5/4.5 = 1 |
| A + B | 2.25 hours | 4.5/2.25 = 2 |
| Total work (LCM) | 4.5 units |
Efficiency of pipe B = Efficiency of (A + B) – efficiency of A = 2 -1 = 1
Work done by pipe A in 30 min (1/2) hr = 1/2 = 0.5 unit
Remaining work = 4.5 – 0.5 = 4 units
Remaining work, Pipe A & B together will complete in = 4/(1 + 1) = 2 hrs
∴ Total time to fill the cistern in 2 hrs 30 min
13. In the 14th edition of the Mumbai International Film Festival held in 2016, the famous wildlife filmmaker Naresh Bedi was awarded ‘V. Shantaram Award under which of the following category?
A. Best filmmaker
B. Best short film maker
C. Life time achievement
D. Best director
Solutions
The correct answer is option 3 i.e Lifetime achievement.
- In the 14th edition of the 2016 Mumbai International Festival, veteran wildlife filmmaker Naresh Bedi was awarded the V Shantaram Life Time Achievement Award.
- He has been honored for his outstanding contributions to wildlife filmmaking and is recognized for filming many moments of rare wildlife.
- Bedi’s film ‘Cherub of the Mist’ based on the life of two red pandas was the opening film of this edition of MIFF.
- Bedi is the first Asian to receive the Wildscreen Panda Award award and the first Indian to receive a British Academy Film Award nomination.
- The Lifetime Achievement Award was instituted in memory of veteran filmmaker V Shantaram, who previously headed the Films division.
14. Choose the correct picture that will fit in the blank space in the following series.

A. C
B. B
C. D
D. A
Solutions
The pattern followed is,
The arrow in the straight line is pointing towards different directions.
In the first image it is pointing towards west, in the second one towards east, in the third one towards south and in the fourth image it must point towards north.
The figure which will come next in the pattern is,

Hence, option 3 is the correct answer.
15. The maximum age for joining National Pension Scheme is ________.
A. 58
B. 62
C. 65
D. 70
Solutions
The correct answer is 70 years.
Key Points
- The maximum age for joining the National Pension Scheme is 70 years.
- Subscribers who join NPS after age 70 will have the option of exiting normally from NPS after 3 years.
- This initiative would allow a broader segment of society, particularly senior citizens, to reap NPS benefits and prepare their daily income.
- The entire corpus will be paid to the candidate in case of unfortunate death of the subscriber during his stay in NPS.
16. One solution contains 21 grams of salt in 320 ml of water. Find the concentration of the solution in terms of mass according mass-percentage relation?
A. 6.15%
B. 13.05%
C. 8.84%
D. 12.57%
Solutions
Given:
Solution contains salt = 21grams
Total quantity of water = 320ml
Calculation:
Concentration of solution in terms of mass according mass percentage relation =
⇒ {21 / (320 + 21)} × 100
⇒ 6.15%
17. _______ is the common name for Ascaris.
A. Tape worm
B. Earthworm
C. Pinworms
D. Round worm
Solutions
The correct answer is Option 4 i.e Roundworm.
- Roundworm is the common name for Ascaris.
- Ascaris is a genus of parasitic nematode worms known as the “small intestinal roundworms,” a kind of parasitic worm.
- One species, Ascaris lumbricoides, affects humans and causes ascariasis to the disease.
- Ascaris lumbricoides is the “large roundworm” of humans, growing up to 35 cm (14 in.) in length.
| Worms | Common Name |
| Tapeworm | Cestoda |
| Earthworm | Lumbricus Terrestris |
| Pinworms | Enterobiasis |
18. If
, find the value of ![]()
A. 0
B. -6√3
C. -3√3
D. 6√3
Solutions
Given:
a + 1/a = -√3
Formula used:
(a + 1/a)3 = a3 + 1/a3 + 3 (a + 1/a)
Calculation:
As we know,
⇒ a3 + 1/a3 = (a + 1/a)3 – 3 (a + 1/a)
⇒ a3 + 1/a3 = (-√3)3 – 3 (-√3)
⇒ a3 + 1/a3 = – 3√3 + 3√3
⇒ a3 + 1/a3 = 0
19. Each question given below consists of a statement, followed by two arguments numbered I and II. You have to decide which of the argument a ‘strong’ argument?
Statement:
Should table etiquettes be a part of kindergarten curriculum?
Arguments:
I. Yes, enforcing good etiquette gives children a sense of responsibility.
II. No, etiquettes are meant only for adults not for children
A. Only argument II is strong
B. Neither I nor II is strong and
C. Both I and II are strong.
D. Only argument I is strong
Solutions
Argument 1: This is strong, because good etiquette gives children a sense of responsibility.
Argument 2: This does not follow, because there is nothing mentioned about adults in the statement.
Hence, “only argument 1” is strong.
20. According to the 2017 Global Hunger Index (GHI) Report, India’s rank is ______ out of 119 countries.
A. 80
B. 120
C. 100
D. 30
Solutions
The correct answer is option 3 i.e 100.
- According to the 2017 Global Hunger Index (GHI) Report, India’s rank is 100th out of 119 countries.
- The report published by the International Food Policy Research Institute (IFPRI), based in Washington.
- In 2017, three positions slipped in comparison to GHI’s 97th rank in 2016.
- GHI is a multidimensional measure that describes a regional, national, and global state of hunger situation.
- It is published annually since 2006 by the International Institute for Research on Food Policy (IFPRI).
- It ranks countries on a scale of 0 to 100 points, determined by taking four predictor parameters into consideration. Zero means the best (no hunger) score and the worst is 100.
21. 0.295 + 2.95 + 29.5 + 295 = ?
A. 327.745
B. 327.746
C. 327.756
D. 327.856
Solutions
⇒ 0.295 + 2.95 + 29.5 + 295 = ?
⇒ 327.745 = ?
SHORTCUT TRICK
Using options,
0.295 + 2.95 + 29.5 + 295
Here the last digit of each number is 5 and the total number of 5’s at the end in the equation is 5
∴ Options must end with 5
∴ Only option 1 ends with 5 i.e. 327.745
22. The data below shows the consumption of rice for different states in India for the year 2012

If total rice consumption for the year 2012 is 2 lakh tonnes, then how much rice was consumed by Nagpur?
A. 20,000 tons
B. 10,000 tons
C. 1,0,0000 tons
D. 50,000 tons
Solutions
Total consumption of rice in 2012 = 2,00,000 tons
Consumption of rice in Nagpur = 2,00,000 × 5/100 = 10,000 tons
23. Pritam’s only sister’s father’s name is Raj. What is the relation of Raj with Pritam’s mother?
A. Cousin
B. Father
C. Husband
D. Friend
Solutions

Drawing the diagram,

Raj is the husband of Pratim’s mother.
Hence, “husband” is the correct answer.
24. Which of the following substance is used in solar panel?
A. Gold
B. Silicon
C. Copper
D. Silver
Solutions
Silicon is used in solar panels.
- It is the second most abundant material on Earth (after oxygen) and the most commonly used semiconductor in computer chips.
- Silicon is a mettaloid.
- Crystalline silicon cells are made of silicon atoms connected to one another to form a crystal lattice.
- This lattice provides an ordered framework that makes it more effective to convert light into electricity.
- Solar silicon-based cells currently offer a combination of high efficiency, low cost, and long service life.
25. If cosecθ + cotθ = 2.5, then cosecθ = ?
A. 1.45
B. 1.35
C. 1.50
D. 1.55
Solutions
Given,
⇒ cosecθ + cotθ = 2.5 —(1)
As we know,
⇒ (cosec2θ – cot2θ) = 1
⇒ (cosecθ – cotθ) (cosecθ + cotθ) = 1
⇒ cosecθ – cotθ = 1/2.5
⇒ cosecθ – cotθ = 0.40 —(2)
Add equation (1) and equation (2)
⇒ 2cosecθ = 2.90
⇒ cosecθ = 2.90/2
⇒ cosecθ = 1.45
26. The first Uranium mine of India, the Jaduguda mines, is located in _____.
A. Rajasthan
B. Jharkhand
C. Bihar
D. Assam
Solutions
The correct answer is Jharkhand.
- The first Uranium mine of India, the Jaduguda mines, is located in Jharkhand.
- The Jaduguda Mine is a uranium mine situated in Jaduguda village, in Jharkhand Indian state’s Purbi Singhbhum district.
- It started operation in 1967 and became India’s first uranium mine.
- The deposits were found at that mine in 1951.
- India possesses only two functional uranium mines as of March 2012, including this Jaduguda Mine.
- The Jaduguda mine provides up to 25 per cent of the raw materials required to power the nuclear reactors in India.
27. Read the following information carefully and answer the question that’s given below.
A medical representative plans to visit each of six hospitals A, B, C, D, E and F exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions;
i) He must visit B before D.
ii) He must visit A before B and E
iii) The third hospital he visit must be C
Which of the following must be true of the medical representative’s schedule?
A. He visits A before D
B. He visits C before A
C. He visit B before E
D. He visits D before E
Solutions
According to the given information,
The third hospital he visit must be C
He must visit B before D. He must visit A before B and E. (This implies A visit before B, E and D)
‘He visits A before D’ is true.
Hence, option 1 is the correct answer.
28. What day would it be on 21st March 2020?
A. Saturday
B. Monday
C. Sunday
D. Friday
Solutions
Month codes:
January → 0
February → 3
March → 3
April → 6
May → 1
June → 4
July → 6
August → 2
September → 5
October → 0
November → 3
December → 5
Code for Days:
Sunday → 0 (or) 7
Monday → 1
Tuesday → 2
Wednesday → 3
Thursday → 4
Friday → 5
Saturday → 6
Code for Centuries:
1600 → 6
1700 → 4
1800 → 2
1900 → 0
2000 → 6
2100 → 4
2200 → 2
2300 → 0
For,
21 March 2020,
Date = 21
Code for March = 3
Code for Century = 6
2020 = 2000 + 20
For, 2000 it is 6
For,
20 it is 20
And,
20/ 4 = 5
Adding all these = 21 + 3 + 6 + 20 + 5 = 55
55 / 7 = 6 (here we consider the remainder)
6 is the code for Saturday.
21 March, 2020 is Saturday.
Hence, “Saturday” is the correct answer.
29. The kinetic energy of an object of mass m, which moving with a velocity of 5 ms-1, is 25 J. What will be its kinetic energy when its velocity is doubled?
A. 50 N
B. 100 J
C. 50 J
D. 100 N
Solutions
The correct answer is 100 J.
Let the mass be m
⇒ v = 5m/s
⇒ K.E = 25 J
⇒ K.E = 1/2 mv2 = 25 J
⇒ K.E = 1/2 m (5)^2
= 25 x 2 = 25m = 2 kg
Now if the velocity becomes 2 times then the velocity is 2 x 5 = 10 m/s
Now new K.E = 1/2 x 2 x 102 = 100 J
30. Find the next one for the series given below:Q – 10, O – 12, M – 14, ?
A. P – 11
B. I – 18
C. N – 13
D. K – 16
Solutions

The pattern followed is,

Hence, “K – 16” is the correct answer.
31. Find the least number which should be multiplied to 63368 to make it a perfect square.
A. 1
B. 8
C. 4
D. 2
Solutions
Given:
Number is 63368
Calculation:
63368 = 2 × 2 × 2 × 89 × 89
If we multiply by 2 in 63368, then
⇒ 63368 × 2 = 126736
⇒ 126736 = 2 × 2 × 2 × 2 × 89 × 89
⇒ √126736 = √(2 × 2 × 2 × 2 × 89 × 89)
⇒ √126736 = 2 × 2 × 89 = 356
∴ The least number is 2.
32. The height of a right triangular prism is 21 cm and the ratio of the sides of its base is 8 : 15 : 17. If the total area of the three lateral surfaces is 840 cm2, then what is the volume of the prism in cubic centimetre?
A. 1300
B. 1200
C. 1269
D. 1260
Solutions
Given,
Height of the triangular prism is h = 21 cm
The ratio of sides of triangular prism is = 8x : 15x : 17x
The total area of three lateral surfaces is = 840 cm2
Perimeter of the triangle × height = 840
⇒ (8x + 15x + 17x) × 21 = 840
⇒ 40x = 840/21
⇒ x = 40/40
⇒ x = 1
Sides of the triangular prism are 8, 15 and 17.
As we know,
⇒ s = (a + b + c)/2
⇒ s = (8 + 15 + 17)/2
⇒ s = 40/2 = 20
Area of the triangle = √[s (s – a) (s – b) (s – c)]
Area of the triangle = √[20 × (20 – 8) (20 – 15) (20 – 17)]
Area of the triangle = √[20 × 12 × 5 × 3]
Area of the triangle = 60
As we know,
Volume of the prime = Area of Base × height
Volume of triangular prism = 60 × 21 = 1260 cm3
33. ______ was the capital of Pandya dynasty.
A. Dwarasamudra
B. Gaya
C. Kanchipuram
D. Madurai
Solutions
Madurai was the capital of the Pandya dynasty.
- The Pandya kingdom was a Tamil kingdom in south India.
- Madurai was the capital of the Pandyan dynasty until the middle of the 14th century and Korkai was also the capital and port city of Pandya.
- The third capital was Tenkasi until the end of the 16th century.
- The Pandyas revived under Kadungon (590 – 620 CE) towards the end of the 6th century, helped to disestablish the Kalabhras in south India.
34. 1.008 = ?
A. ![]()
B. ![]()
C. ![]()
D. ![]()
Solutions
⇒ 1.008 = ?
⇒ 1008/1000 = ?
⇒ 126/125 = ?

35. A toy purchased for Rs. 1125 was sold at a loss of 16%. The selling price of the toy was
A. Rs. 975
B. Rs. 945
C. Rs. 960
D. Rs. 955
Solutions
Given
CP = 1125
Loss% = 16%
Calculation
If loss percent is 16%, then
SP = 84% of CP
∴ Selling price of the toy = 1125 × (84/100) = Rs. 945
36. Two arguments have been given after one statement you have two decide which argument is strong with respect to the given statement.
Statement:
Should North Korea build atomic bomb?
Argument:
I. Yes, It is necessary for the security of the nation.
II. No, It will spoil the zonal balance there.
A. Only argument II is strong.
B. Only argument I is strong.
C. Neither I nor II is strong.
D. Either I or II is strong
Solutions
Argument 1: This is not strong, as atom bombs are not safe for the country.
Argument 2: This is also not strong, because nothing is mentioned about Zone equilibrium or balances in the statement.
Hence, “neither argument 1 nor argument 2” is strong.
37. Who was awarded the Padma-Vibhushan for outstanding contribution in the field of art and music in 2018?
A. S. P. Balasubramanian
B. Shankar Mahadevan
C. A. R. Rahman
D. Ilaiyaraaja
Solutions
The correct answer is option 4 i.e Ilaiyaraaja.
- Ilaiyaraaja was awarded the Padma-Vibhushan in 2018 for his outstanding contribution in the field of art and music.
- Ilaiyaraaja is an Indian film music composer, singer, lyricist, instrumentalist, orchestra player, conductor-arranger, and lyricist who works primarily in Tamil and other languages, including Telugu, Kannada, Malayalam, Marathi, Hindi, and English.
- He was awarded the Padma Bhushan, India’s third-highest civilian honor in 2010 and the Padma Vibhushan, India’s second-largest civilian honor in 2018.
- Ilaiyaraaja is the recipient of five National Film Awards – three for Best Music Direction and two for Best Background Score.
- In 2012, Ilaiyaraaja was awarded the highest Indian music award, Sangeet Akademi Award for his creative and experimental works in the field of music.
38. 396 – 39.6 – 3.96 – 0.396 = ?
A. 352.144
B. 352.044
C. 352.134
D. 352.034
Solutions
⇒ 396 – 39.6 – 3.96 – 0.396 = ?
⇒ 396 – 43.956 = ?
⇒ 352.044 = ?
39. Who among the following was awarded the Padma Shri Award for 2018 in the field of literature and education? He belongs to Maharashtra.
A. Shri Manas Bihari Verma
B. Shri Baba Yogendra
C. Mr. Panatavane Gangadhar Vithobaji
D. Mr. Vikram Chandra
Solutions
- Shri Pantavane Gangadhar Vithobaji was awarded the Padma Shri Award for 2018 in the field of literature and education.
- He was a writer, critic, and Ambedkarite thinker of the Maharashtra state of Indian Marathi language.
- He is one of the founders of the Dalit literary movement in Maharashtra.
- Pantwane embraced Buddhism in the hands of Babasaheb Ambedkar at Devbhoomi in Nagpur on 14 October 1956 with an attendance of 6,00,000 Ambedkarites.
- Pantwane had written 16 books in Marathi and edited 10 books. He was also a journalist founder named ‘Asmitadarsh’.
40. Find the odd one out.
A. Lion
B. Cheetah
C. Ostrich
D. Elephant
Solutions
Lion, Cheetah and Elephant are wild animals.
Whereas,
Ostrich is a bird.
Hence, “ostrich” is the odd one.
41. The points scored by 12 persons are as follows
6, 17, 8, 9, 16, 10, 15, 21, 9, 11, 12 and 16
Find the median.
A. 11.5
B. 10.4
C. 11.6
D. 12
Solutions
The points scored by 12 persons are as follows 6, 17, 8, 9, 16, 10, 15, 21, 9, 11, 12 and 16
Arrange the data in ascending order = 6, 8, 9, 9, 10, 11, 12, 15, 16, 16, 17, 21
n = 12 (even), then
Median = [(n/2)th + (n/2 + 1)th]/2 = [(12/2)th + (12/2 + 1)th]/2 = (6th + 7th)/2
Median = (11 + 12)/2 = 23/2 = 11.5
42. A person has divided a total of Rs. 3,70,000 into three parts and deposited them in three banks offering simple interests of 4%, 5% and 6% respectively. At the end of 1st year the interests received from all three banks are the same. How much has he deposited in those three banks?
A. Rs. 1,50,000, Rs. 1,20,000 Rs. 1,00,000
B. Rs. 1,00,000, Rs. 2,00,000, Rs. 70,000
C. Rs. 70,000, Rs. 2,00,000, Rs. 1,50,000
D. Rs. 1,20,000, Rs. 1,00,000, Rs. 1,50,000
Solutions
Let the three parts be x, y and z respectively, then
As we know.
⇒ SI = Prt/100
According to the question
⇒ (x × 4 × 1)/100 = (y × 5 × 1)/100 = (z × 6 × 1)/100
Let, 4x/100 = 5y/100 = 6z/100 = k
⇒ x = 100k/4
Similarly,
⇒ y = 100k/5
⇒ z = 100k/6
⇒ Ratio of x : y : z = 100k/4 : 100k/5 : 100k/6 = 60/4 : 60/5 : 60/6 = 15 : 12 : 10
⇒ 15 + 12 + 10 = 37 unit
⇒ 37 unit = 3,70,000
⇒ 1 unit = 3,70,000/37
⇒ 1 unit = 10,000
⇒ 15 unit = 1,50,000
⇒ 12 unit = 1,20,000
⇒ 10 unit = 1,00,000
The three parts are 1,50,000, 1,20,000 and 1,00,000.
43. Nanital lake is situated in the state of ______.
A. Assam
B. Himachal Pradesh
C. Uttarakhand
D. Uttar Pradesh
Solutions
The correct answer is option 3 i.e Uttarakhand.
- Nanital lake is situated in the state of Uttarakhand.
- This has a form in the shape of a kidney or a crescent and an outfall at the south-east end.
- Nainital is the most prominent hill-station in the Kumaon district.
- It is famous for its Naini Lake located in the center of the town, as well as several other nearby lakes.
- It is one of the four lakes in Kumaon Hills; the other three are the Sattal Lake, the Bhimtal Lake, and the Naukuchiyatal Lake.
- The National Institute of Hydrology (NIH) of Roorkee, which prepared a plan for the restoration of the lake at an estimated cost of Rs 50 crore, sponsored by the Ministry of Environment and Forests, Government of India, is now also guiding the restoration actions.
44. Who was conferred with the 2017 Hridaynath Mangeshkar Award?
A. Asha Bhosle
B. Lata Mangeshkar
C. Javed Akhtar
D. Meena Khadikar
Solutions
The correct answer is option 3 i.e Javed Akhtar.
- Javed Akhtar was conferred with the 2017 Hridaynath Mangeshkar Award.
- He was awarded the 2017 Hridaynath Mangeshkar Award at the Mumbai event that marked the 80th anniversary of veteran music composer Hridaynath Mangeshkar and the 28th anniversary of Hridayesh Arts.
- The award was established in 2011 in honour of music composer and singer Hridaynath Mangeskar by Mumbai-based socio-cultural organization Hridayesh Art.
- It congratulates and honours successful individuals from various walks of life, around the world.
- This brings with it a Rs 2 lakh monetary reward and a memento.
- Hridaynath Mangeshkar is the only son of noted musician Deenanath Mangeshkar and the younger brother of the legends of Indian music Lata Mangeshkar and Asha Bhosle.
- He is popularly known in the music and film field as Balasaheb.
45.

Choose the correct picture that replaces the (?) symbol above with the below given options:

A. A
B. D
C. C
D. B
Solutions
The picture that replaces the (?) symbol is,

Hence, option 3 is the correct answer.
46. The reciprocal of a negative rational number _______.
A. is a zero
B. can be either a positive or a negative rational number
C. is a negative rational number
D. is a positive rational number
Solutions
As we know,
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Reciprocals are two numbers which multiply together to make 1. They are also called multiplicative inverses of each other.
Let the negative number be (-a)
The reciprocals of the number is = (-1/a)
So we can say the reciprocal of a negative rational number is a negative rational number.
47. You are given a question and two statements.Identify of the statements is/are sufficient to answer the question.
Question:
Find the total number of cubes in a bag
Statement:
1) The box contains some blue, yellow and white cubes.
2) The number of blue cubes is twice that of yellow cubes and number of white cubes is 12
A. Only 1 is sufficient
B. Only 2 is sufficient
C. Either 1 or 2 is sufficient
D. Both 1 and 2 are not sufficient
Solutions
According to the given information,
Statement 1: Only about colours of the cubes are mentioned in this statement.
Statement 2: Number of white cubes is given and it is also mentioned that ‘the number of blue cubes is twice that of yellow cubes’ but the number of cubes of neither of the colours is given.
Hence, “both 1 and 2” are not sufficient.
48. PM Narendra Modi launched the UDAN scheme on 25th April 2017 with a flight between _____ and New Delhi at subsidised rates.
A Mumbai
B. Kashmir
C. Shimla
D. Srinagar
Solutions
The correct answer is option 3 i.e Shimla.
- PM Narendra Modi launched the UDAN scheme on 25th April 2017 with a flight between Shimla and New Delhi at subsidised rates.
- UDAN (Ude Desh ka Aam Naagrik) is the State Government of India’s Regional Airport Growth and Regional Connectivity Scheme (RCS).
- With the aim of “letting the country’s common citizen fly” aimed at making air travel affordable and widespread, promoting inclusive national economic development, job growth and the development of air transport infrastructure across all regions and states.
- Out of a total of 486 airports, 406 participated in our own airports at the start of the program, 27 were well-served airports out of 97 non-RCS airports and 12 were operational airports out of 18 underserved participating national operational airports (November 2016) with daily scheduled fixed-wing flights.
- The UDAN Scheme is a key component of the National Civil Aviation Policy (NCAP) of Prime Narendra Modi which was published by the Civil Aviation Ministry (India) on 15 June 2016.
49. If 8 sec2x – 7 tan2 x = 11 and 00 ≤ x ≤ 900, then x = ?
A. 300
B. 450
C. 600
D. 900
Solutions
⇒ 8 sec2x – 7 tan2 x = 11
⇒ sec2x + 7 sec2x – tan2 x = 11
As we know,
⇒ sec2 x – tan2 x = 1
⇒ sec2 x + 7 × 1 = 11
⇒ sec2 x = 11 – 7
⇒ sec2x = 4
⇒ sec x = √4
⇒ sec x = 2
⇒ sec x = sec 600
⇒ x = 600
50. Which is the most malleable metal?
A. Copper
B. Aluminium
C. Silver
D. Gold
Solutions
The correct answer is option 4 i.e Gold.
- Gold is the most malleable metal.
- Malleability is a physical property of metals that decide their hammering, pressing or rolling ability without breaking into thin sheets.
- In other words, deforming under compression is the product of metal, and takes on a new shape.
- Items made from these metals may also show malevolence, like gold leaf, lithium foil, and shot from the indium.
- Gold is a transitional element of group 11 in a periodic table with atomic number 79 and atomic mass 196.996. This is a reddish yellow alloy and is also a strong heat and electricity conductor.
51. Element X forms an oxide with the formula X2O3. The element X would most likely be in the same group of the periodic table as ________.
A. magnetiium
B. silicon
C. aluminium
D. sodium
Solutions
The correct answer is option 3 i.e aluminium.
- Element X forms an oxide with the formula X2O3. The element X would most likely be in the same group of the periodic table as aluminium.
- Element X can be aluminium, gallium, indium and thallium, which is part of 3 Mendeleev’s periodic table groups and has valency 3.
- Aluminium ( Al), also engraved aluminium, chemical element, the lightweight, silver-white metal of the main group 13 of the periodic table.
- It is the most abundant metallic element in Earth’s crust and the most widely used non-ferrous metal.
- It does not appear in metallic form in nature because of its chemical action, but its derivatives are found to a greater or lesser degree in nearly all minerals, plants and wildlife.
52. Select the option that has the same relation to the third word as the second word to the first word.
Leg : Dance ∷ Tail
A. Wag
B. Rotate
C. Balance
D. Swing
Solutions
Dance is to move rhythmically with the help of legs.
Similarly,
Swing is the movement of the tails in animals.
Hence, “swing” is the correct answer.
53. In a system, if west becomes north-west, then what will north become?
A. South
B. North-east
C. East
D. North – west
Solutions
Drawing the diagram according to the given information,

If west becomes, north – west, then there a movement of one position clock – wise.
North becomes north – east.
Hence, “north – east” is the correct answer.
54. Mathura’s brother’s only sister’s mother is Shalaka. How is Mathura related to Shalaka?
A. Daughter
B. Aunt
C. Grandmother
D. Cousin
Solutions

Drawing the family tree,

Mathura is the daughter of Shalaka.
Hence, “daughter” is the correct answer.
55. Two inlet pipes, one of which is twice the efficiency of the other. There is also a third outlet pipe which can empty the fully filled tank in 10 hours. When all three pipes are open simultaneously, it takes 2.5 hours to fill the tank completely. How many hours will it take to fill the tank alone with a low efficiency pipe?
A. 7
B. 5
C. 8
D. 6
Solutions
Let the first pipe alone can fill the tank in x hrs
The efficiency of the first pipe = 1/x
The efficiency of the second pipe = 2/x
Third pipe alone can empty the full tank in = 10 hrs
According to the questions
⇒ 1/x + 2/x – 1/10 = 1/2.5
⇒ 3/x = 1/2.5 + 1/10
⇒ 3/x = (4 + 1)/10
⇒ 3/x = 5/10
⇒ 3/x = 1/2
⇒ x = 6
The first pipe A alone can fill the tank in 6 hrs.
56. If + means ×, × means -, ÷ means + and – means ÷ find the value of : 180 – 20 ÷ 12 + 24 × 5 + 22
A. 180
B. 187
C. 190
D. 185
Solutions
By decoding given information,
| + | × | ÷ | – |
| Means | |||
| × | – | + | ÷ |
Given equation: 180 – 20 ÷ 12 + 24 × 5 + 22
After changing symbol: 180 ÷ 20 + 12 × 24 – 5 × 22
Using BODMAS rule,
9 + 12 × 24 – 5 × 22
9 + 288 – 110
297 – 110
187
Hence, “187” is the correct answer.
57. Read the following statements and the conclusions that follow. Decide which of the two conclusions follow from the given statements.
Statements:
All years are dates.
No date is day
Conclusions:
1. Some years are days.
2. No day is a date
A. Either conclusion 1 or 2 follows
B. Both conclusions 1 and 2 follow
C. Only conclusion 2 follows
D. Only conclusion 1 follows
Solutions
Drawing the Venn diagram,

Conclusion 1: Some years are days → False (This is definitely false)
Conclusion 2: No day is a date → True (This is definitely true)

Hence, “only conclusion 2” follows.
58. Which of the following types of reproduction involves only one parent?
A. Asexual reproduction
B. Fragmentation
C. Binary fission
D. Sexual reproduction
Solutions
The asexual reproduction type of reproduction involves only one parent.
- This results in inheritance being genetically identical to each other.
- In this way, all prokaryotes and other eukaryotes replicate. There are a variety of different asexual reproduction methods.
- It includes fragmentation, Binary fission, and budding binaries.
- Reproduction is the biological process by which new individual organisms “offspring” are produced from their “parents”.
- Sexual reproduction involves two parents.
59. ABCDEFGHIJKLMNOPQRSTUVWXYZ
If the alphabets are reversed then the 5th letter to the left of 9th letter from right is?
A. P
B. M
C. N
D. O
Solutions
Reversing the given alphabets,
ZYXWVUTSRQPONMLKJIHGFEDCBA
9th letter from the right is ‘I’
ZYXWVUTSRQPONMLKJIHGFEDCAB
Fifth letter from the left of ‘I’ is ‘N’
ZYXWVUTSRQPONMLKJIHGFEDCAB
Hence, “N” is the correct answer.
ABCDEFGHIJKLMNOPQRSTUVWXYZ
60. When seen through a mirror, a clock shows 8:30 as the time. The correct time is _____.
A. 4:30
B. 1:30
C. 7:30
D. 3:30
Solutions
The correct time is,

Alternate Short trick:
Whenever you need to find the mirror time from actual or actual time from mirror time then just subtract the given time from 11: 60
Here Actual time = 11: 60 – 8: 30 = 3: 30
Hence, “3: 30” is the correct answer.
61. Two arguments have been given after one statement you have two decide which argument is strong with respect to the given statement.
Statement:
Should there be stray dogs in the colonies?
Arguments:
I. Yes, they are free and non-violent. Sometimes when their population increases, municipality catches them.
II. No, it is proven that they are dangerous.
A. Only argument II is strong.
B. Both I and II are strong
C. Neither I nor II is strong.
D. Only argument I is strong.
Solutions
Argument 1: This is strong, because when the population of these dogs increases, the municipality people will take them away.
Argument 2: This is also strong, because they are dangerous.
Hence, “both 1 and 2” are strong.
62. Who among the following won the 2017 Australian Super Series (Badminton)?
A. Chen Long
B. Lin Dan
C. Srikanth Kidambi
D. B Sai Praneeth
Solutions
The correct answer is option 3 i.e Srikanth Kidambi.
- Srikanth Kidambi won the 2017 Australian Super Series (Badminton).
- He is an Indian badminton player who trains in Hyderabad, at the Gopichand Badminton Academy.
- In April 2018 he became the world’s best men singles badminton player.
- In 2018, Kidambi received the Padma Shri, India ‘s fourth-highest civilian award And Award Arjuna in 2015.
- He went on to win Australian Super Series defeating Chinese Chen Long in the final 22–20, 21–16, setting an Indian record for reaching three consecutive Super Series finals.
63. Choose the correct venn diagram
Books, Toys, Utensil
A. 
B. 
C. 
D. 
Solutions
Books, Toys and Utensil are represented separately.
The correct Venn diagram is,

- Hence, option 2 is the correct answer.
64. Arun spends 2/13 the of his salary on the education of his children, Tarun and Varun. He spends Rs. 13,006 on Varun’s education, which is 2/3rd of his total expenditure on education. What is Arun’s total salary?
A. Rs. 84,539
B. Rs. 126,808.50
C. Rs. 134,278.50
D. Rs. 102,346
Solutions
Let the total salary of the Arum be Rs. x, then
Amount expends on Tarun and Varun’s education = x × 2/13 = 2x/13
According to the question
⇒ 2x/13 × 2/3 = 13,006
⇒ 4x/39 = 13,006
⇒ x = 13,006 × 39/4
⇒ x = Rs. 126,808.50
The total salary of the Arun is 126,808.50
65.

Choose the correct picture that fit the blank place

A. B
B. D
C. A
D. C
Solutions
The pattern followed is,
In the first column, figures are of two parts.
In the second column, figures are of three parts.
And,
In the third column, figures are of four parts.
The correct picture which will fit in the blank space is,

Hence, option 4 is the correct answer.
66. Out of the four option figures, three are similar in a certain manner. However, one figure is NOT like the other three select the figure which is different from the rest.

A. D
B. A
C. B
D. C
Solutions
The pattern followed is,
There are two ‘+’ symbols which are diagonally opposite to each other and there are two square symbols diagonally opposite to each other, among which one is painted.
All follow the same pattern, except figure D.
Hence, figure D is different from the rest.
67. Intercalary meristems are found ________.
A. At the growing tips of stems
B. At the tips of the leaves
C. At the growing tips of roots
D. At the base of the leaves
Solutions
The correct answer is option 4 i.e At the base of the leaves.
- Intercalary meristems are found at the base of the leaves.
- It helps in the elongation and growth of plants in nodes and internodes (stems and leaves) and also allows the stem and leaves (grasses) to grow longitudinally.
- The intercalary meristems are present in monocots at the base of the primordium leaf.
- It allows the petiole to extend their leaves above the surface of the water.
- This increase in petiole length is caused by the intercalary meristem activity.
68. Inclusive of a profit of 17% Spoorti sold a pair of footwear for Rs. 2,223. What was the cost price of the pair of shoes?
A. Rs. 1,900
B. Rs. 1,870
C. Rs. 1,880
D. Rs. 1,905
Solutions
Selling price of the pair of footwear = Rs. 2223
If the profit percentage is 17%, then
Cost price of the footwear = 2223 × 100/117 = Rs. 1900
69. Which of the following is NOT an example of chemical change?
A. Changing of water to water vapour
B. Digestion of food in our body
C. Rusting of iron
D. Milk changing to curd
Solutions
The correct answer is option 1 i.e Changing of water to water vapour.
- Changing water to water vapour is NOT an example of chemical change.
- Boiling water is an example of a physical transition and not a chemical change, because the water vapour still has the same molecular structure as liquid water ( H2O).
- If the bubbles were caused by a molecule’s decomposition into a gas (such as H2O regardless of H2 and O2), it would be a chemical transition to boil.
- Chemical changes are also called chemical reactions.
- Reactants are called the “ingredients” of a reaction, and the end results are called products.
70. Electronic configuration of hydrogen resembles that of ________.
A. Halogens
B. Alkali metals
C. Alkaline earth metals
D. Inert gases
Solutions
The correct answer is option 2 i.e Alkali metals.
- The electronic configuration of hydrogen resembles that of Alkali metals.
- Hydrogen is similar to both alkali metals and to halogens.
- This is because alkaline-like hydrogen metals donate their outer electron to form compounds such as oxides, halides & sulfides.
- It also shares the electron of its with another atom of hydrogen to form a diatomic molecule.
- Hydrogen has one 1s1 electronic configuration.
- The electronic configuration is identical to the external electronic configuration ns1 of alkali metals belonging to the first group of the periodic table, and like halogens (with electronic configuration ns2np5) it is one electron short of the corresponding noble gas configuration, helium 1s2.
71. Count the number of squares in the figure:

A. 38
B. 40
C. 36
D. 42
Solutions
The number of squares in the given figure is,

Hence, “38” is the correct answer.
72. The following pie diagram shows the information on the sales of different types of food items by restaurant XYZ.

The total revenue made by the restaurant in Nov 2017 was 35 lakh.
How much revenue was made by the restaurant XYZ on the sale of all other baked items in Nov 2017?
A. 5.25 lakh
B. 5 lakh
C. 2 lakh
D. 2.75 lakh
Solutions
Total revenue made by the restaurant XYZ in Nov 2017 = 35 lakh
Total revenue collects by other baked items in Nov 2017 = 35 × 15/100 = 5.25 lakh
73. Find the next figure for the given series:

A. D
B. B
C. A
D. C
Solutions
The pattern followed is,
In the first figure there are three geometrical figures, one inside the other, in the second figure there are two figures, one inside the other and the inner shape becomes the outer shape in this figure.
Similarly,
In the third figure there are three geometrical figures, one inside the other and in the fourth one there will be two figures and the inner shape becomes the outer shape in this figure .
The figure which will come next in the pattern is,

Hence, option 3 is the correct answer.
74. An object is thrown vertically upward and it reaches a maximum height ‘h’ from the ground During its flight, on reaching 34 of height ‘h’, the object will acquire:
A. Less P.E and more K.E
B. same P.E and K.E
C. more P.E and less K.E.
D. only K.E
Solutions
The correct answer is option 3, i.e. more P.E and less K.E.
- When an object is thrown vertically upward then the velocity will decrease continuously and hence K.E. will also decrease.
- To compensate for decreasing K.E., P.E. will increase.
- At the maximum height of ‘h’, velocity will be zero and hence K.E. energy will be zero and P.E. will be maximum.
- At 3/4th of ‘h’,
- As P.E. increasing with height, it will be more than K.E.
75. An unfertilised human egg contains ________.
A. XY chromosome
B. One Y chromosome
C. One X chromosome
D. XX chromosome
Solutions
An unfertilised human egg contains one X chromosome.
- The unfertilised egg is a haploid female gamete. It has chromosome X.
- The gametes are the haploid cells which the meiotic division produces.
- The egg is the female gamete produced by oogenesis. The gametes are haploid and only comprise one set of chromosomes.
- Therefore, the egg cell comprises the 22 autosomes and a chromosome X.
- Since the female somatic cell contains two X chromosomes, only one X chromosome can appear in the gamete.
76. Pressure = _______.
A. Thrust × Area
B. Area/Thrust
C. Thrust/Area
D. Area + Thrust
Solutions
The correct naswer is option 3 i.e Pressure = Thrust/Area.
- The pressure is classified as force per area of the area. (P = F/A)
- If force F is applied to the surface of area A, the pressure P is defined as:
- This pressure is always perpendicular to the surface of the object in fluids.
- It is this friction applied to an object submerged in water that creates a power of thrust.
- This pressure that causes the object to be pushed is the reason that some objects are floating in the water.
- It is also the reason why objects weigh less in the water.
77. Choose which one is NOT true for base?
A. Turns blue litmus red
B. Turns red litmus blue
C. Furnishes OH– in aqueous medium/molten state
D. Bitter in taste
Solutions
Option 1 is the correct answer.
- The main purpose of litmus is to test whether the solution is acidic or basic.
- Blue litmus paper turns red under acidic conditions and red litmus paper turns blue under basic or alkaline conditions, with a change in colour occurring over the pH range 4.5–8.3 at 25 ° C (77° F).
- Wet litmus paper may also be used to test for water-soluble gases, which cause acidity or alkalinity; the gas dissolves in the water and the resulting solution stains the litmus paper. For example, ammonia gas, which is alkaline, turns red litmus paper blue.
- Red litmus contains a mild diprotic acid. When introduced to a simple compound, hydrogen ions react with the added base. The conjugate base formed by litmus acid has a blue colour so that the wet red litmus paper turns blue in alkaline.
78. The LPG Panchayat, organized by the Ministry of Petroleum and Natural Gas under the Pradhan Mantri Ujjawala Yojana was hosted by ________.
A. Manohar Parikar
B. Narendra Modi
C. Manmohan Singh
D. Ram Nath Kovind
Solutions
The correct answer is option 4 i.e Ram Nath Kovind.
- The LPG Panchayat, organized by the Ministry of Petroleum and Natural Gas under the Pradhan Mantri Ujjawala Yojana was hosted by Ram Nath Kovind.
- Pradhan Mantri Ujjwala Yojana (PMUY) was initiated by Indian Prime Minister Narendra Modi on 1 May 2016 to administer 50 million LPG connections to Below Poverty Line ( BPL) residents.
- A budgetary allowance of 80 billion (USD 1.1 billion) has been made for the program.
- In the first year of its launch, the distribution of connections amounted to 22 million compared to the target of 15 million.
- At the 107th Indian Science Congress held in Bengaluru in January 2020, Narendra Modi claimed that technology has enabled India to “recognise 8 crore [80 million] people still use coal or wood for cooking” and also to “understand how many new distribution centers need to be established by means of technology.”
79. Fill the blank number in the series from given options:
6, 18, 54, 162,?
A. 486
B. 490
C. 485
D. 400
Solutions
The pattern followed is,
6 × 3 = 18
18 × 3 = 54
54 × 3 = 162
162 × 3 = 486

Hence, “486” is the correct answer.
80. Minena and Mashuka work together to complete a task in 9 days. Mashuka starts working alone and quits on completion of 2/5 of the work. Minena then completes the task alone. In this way, it takes 19.5 days to complete. If Mashuka works faster than Minena, how many days will Minena take to complete the task alone?
A. 25.5
B. 22.5
C. 25
D. 24
Solutions
Given:
Minena and mashuka work together complete the task in 9 days
Mashuka complete 2/5 work and minena complete 3/5 in 19.5days
Mashuka work faster than minena
Calculation:
Mashuka and minena complete work in 9 days
From option 2
Minena complete the work in 22.5days
Let the total work be 225 units
Efficiency of mashuka and minena working together = 225 / 9 = 25units/day
Efficiency of minena = 225/22.5 = 10units/day
∴ Efficiency of mashuka = 25 – 10 = 15 units/day
According to question
Mashuka completed 2/5 work = 2/5 × 225 = 90units
Mashuka takes days to complete 90units work = 90 / 15 = 6days
∴ minena complete work = 1 – 2/5 = 3/5
⇒ 3/5 × 225 = 135units
Minena takes days to complete 135units = 135 / 10 = 13.5days
Total time taken by mashuka and minena to complete the whole work in given pattern = 6 + 13.5 = 19.5days
Hence option ii satisfied the answer
ALTERNATE METHOD
Let the time taken by mashuka alone and minena alone to complete the task be ‘x’ and ‘y’ days
also (1/x + 1/y = 1/9)
⇒ x = 9y/(y – 9) …..(i)
and (2x/5 + 3y/5 = 19.5)
⇒ 2x + 3y = 97.5
putting value of x from equation (i). we get
⇒ 18y/(y – 9) + 3y = 97.5
⇒ 18y + 3y2 – 27y = 97.5(y – 9)
⇒ 3y2 – 106.5y + 877.5 = 0
⇒ y2 – 35.5y + 292.5 = 0
⇒ y2 – 22.5y – 13y + 292.5 = 0
⇒ y(y – 22.5) -13(y – 22.5) = 0
⇒ y = 22.5, 13
at y = 22.5, x = 15
and at y = 13, x = 29.25 (not possible as Mashuka works faster than Minena)
∴ Minena take to complete the task alone = 22.5 days
81. Presently, scientists are talking of _______ states of matter.
A. 5
B. 3
C. 2
D. 4
Solutions
Presently, scientists are talking of 5 states of matter.
- Four natural states of matter exist solids, liquids, gases, and plasma. The fifth state is condensate from the man-made Bose-Einstein.
- Particles are packed tightly together in a solid so that they don’t move much.
- The particles are looser packed in a liquid than in a solid and can float around each other, giving the liquid an infinite form.
- The particles have much space between them in gas and have high kinetic energy.
- Plasma is composed of extremely charged particles with very high kinetic energy.
- Scientists developed the Bose-Einstein condensate (BEC), in 1995. Using a mixture of lasers and magnets, the scientists at the Joint Institute for Lab Astrophysics (JILA) in Boulder, Colorado, Eric Cornell and Carl Weiman cooled a sample of rubidium to an absolute zero within a few degrees.
82. Which of the following organizations was founded by Rabindranath Tagore?
A. Viswa Bharti
B. Rabindra School
C. Sevagram Vidyalaya
D. Gyandham Vidyalaya
Solutions
Vishwa Bharati Society was established by Rabindranath Tagore.
- Vishwa Bharati University is a public research central university and institute of national importance located in Santiniketan, West Bengal, India.
- It was founded by Rabindranath Tagore, who called it Visva-Bharati, which means the world’s dialogue with India.
- Soon after independence in 1951, the college became a university and came to be known as Visva-Bharati University.
- The National Institutional Ranking Framework (NIRF) ranked Vishwabharati University 31 among Indian universities.
- According to the ranking of Best Global Universities 2020, produced by US News and World Report, Visva-Bharati is ranked 4th among Indian universities.
83. Which among the following ranked 5th on the list of ‘Top 10 Landmarks’ in the world by TripAdvisor Travellers’ Choice Awards?
A. Qutub Minar
B. Red Fort
C. Gol Gumbaz
D. Taj Mahal
Solutions
The correct answer is option 4 i.e Taj Mahal
- Taj Mahal ranked 5th on the list of ‘Top 10 Landmarks’ in the world by TripAdvisor Travellers’ Choice Awards.
- It has emerged as the 5th most popular landmark in the world and 2nd in Asia, according to the online travel portal TripAdvisor’s Travelers Choice Awards for Landmarks.
- Around the world, Angkor Wat in Cambodia, Sheik Zayed Grand Mosque Center in Abu Dhabi, Mezquita Cathedral of Cordoba in Spain, and St Peter’s Basilica in Italy, had the first four ranks.
- Whereas the top 10 landmarks in Asia were crowned by Angkor Wat, followed by the Taj Mahal in second place.
- Besides this, the Taj Mahal also placed first in the list of famous landmarks in India, followed by AmberFort, Jaipur, Swaminarayan Akshardham, New Delhi, etc.
84. The following are red vascular connective tissue:
A. Red blood cells
B. Blood
C. White blood cells
D. Plasma
Solutions
Red vascular connective tissue is blood.
- Vascular connective tissue is the tissue responsible for transport in the animal’s body.
- Blood and lymph is the final form of connective tissue (red vascular connective tissue).
- Blood is made up of erythrocytes (red blood cells), leukocytes (white blood cells) and platelets.
- Blood is present in blood vessels (arteries, veins, capillaries).
- Connective tissue is a ubiquitous component of all major tissues and structures of the body (50% of all proteins in the body are connective tissue), including blood, vascular tissue, muscle, tendon, ligaments, fascia, bone, joint, intervertebral disc, and skin
85. Which of the answer figures is formed from the shapes given the problem figure?

A. A
B. C
C. B
D. D
Solutions
The shapes from the problem figure can be used to create the below figure:

- Hence, the figure in option B is the correct answer.
86. What happens if you fill a glass completely with water and ice and the ice completely melts?
A. Water level will remain the same
B. All ice will sit at the bottom
C. Water level will decrease with ice melting
D. Water will flow out
Solutions
The correct answer is Option 1.
Key Points
If you fill a glass completely with water and ice and the ice melts completely, the water level will remain unchanged.
- According to Archimedes’ theory, the floating material displaces air, which means that as the ice melts, there will be no difference in the water table, because the dissolved ice will have the same volume as it used to be.
- A dynamic body displaces a volume of water equal to its own weight.
87. On which of the following principles does a rocket in space work?
A. Principle of Conservation of Mass
B. Principle of Conservation of Speed
C. Principle of Conservation of Momentum
D. Principle of Conservation of Energy
Solutions
Concept:
- Momentum: The product of mass and velocity is called momentum or linear momentum.
- It is denoted by P and unit is kg⋅ m/s
- Momentum (P) = Mass (m) × velocity (V)
- Conservation of linear momentum: When there is no net external force on a system, then the total linear momentum of the system remains constant. This is called the conservation of linear momentum.
Explanation:
In the case of a rocket, we will take the rocket and its fuel as a system. There is no net force on this system, so the total momentum will be conserved.
- Thus the rockets work on the law of conservation of linear momentum is correct.
- The increased forward momentum of the rocket is equal but opposite in sign to the momentum of the ejected exhaust gases.
88. Simplify: ![]()
A. 9/100
B. 9999/10000
C. 1/10000
D. 0
Solutions

⇒ 0 – 0 = ?
⇒ 0 = ?
Note: This is an exam question in which error was found we have given the solution according to the question.
89. A sum of Rs. 2,000 invested at 9.25% simple interest per annum for 4 years will yield an interest of.
A. Rs. 1,110
B. Rs. 925
C. Rs. 555
D. Rs. 740
Solutions
⇒ P = 2,000, r = 9.25% and t = 4 years
As we know,
⇒ SI = Prt/100
⇒ SI = (2000 × 9.25 × 4)/100
⇒ SI = Rs. 740
90. _______ was NOT a part of the proposed draft of the ‘National Water Framework Bill of 2016’?
A. Aachman Yukt Dhara
B. Aviral Dhara
C. Nirmal Dhara
D. Swachh Kinara
Solutions
The correct answer is option 1 i.e Aachman Yukt Dhara.
- Aachman Yukt Dhara was NOT a part of the proposed draft of the ‘National Water Framework Bill of 2016’.
- The draft National Water Framework Bill 2016 was drawn up by a committee headed by Dr. Mihir Shah.
- The Committee was set up by the Ministry of Water Resources, River Development, and Ganga Rejuvenation.
- The aim behind this bill was to conserve, manage, protect, and regulate the use of water.
- Pursuant to the Constitution of India, waterfalls under the domain of the State Subject and, hence, the consent of States is necessary if the bill is to be enforced as an act.
91. The group of seven students took an exam. After the examination, another student joined the group. By including the marks of the new student, the average marks of the group increased to 2. How many more marks did this student get compared to the average marks of the initial seven students?
A. 18
B. 14
C. 20
D. 16
Solutions
Let the average marks of 7 students be x,
Sum of marks of 7 students = 7x
According to the question
Average marks of 8 students = x + 2
Sum of marks of 8 students = (x + 2) × 8 = 8x + 16
Marks of 8th student = 8x + 16 – 7x = x + 16
Now we can say 8th students get 16 more marks than average marks of 7 students.
92. The potential difference between the terminals of an electric heater is 60 V when it draws a current of 4 A from the source. What current will the heater draw if the potential difference is increased to 165 V?
A. 12 A
B. 24 A
C. 10 A
D. 11 A
Solutions
The correct answer is option 4 i.e 11 A.
The potential difference of the heater = 60 V
⇒ Current I = 4 A
⇒ Resistance =?
⇒ According to ohm’s law,
⇒ V = IR
⇒ R = V/I
⇒ R = 60/4 = 15 Ohms
Now if the potential is increased to 165 V
⇒ I = ?
⇒ V = IR
⇒ I = V/R
= 165/15 =11 A
93. A train crosses a 155-m-long platform in 16 seconds and a 195-m-long platform in 18 seconds. The speed of the train is:
A. 66 km/h
B. 75 km/h
C. 69 km/h
D. 72 km/h
Solutions
Let the length of the train be d m, and speed of the train x km/hr.
As we know,
Speed = Distance/time
⇒ x × 5/18 = (d + 155)/16 —(1)
Again,
⇒ x × 5/18 = (d + 195)/18 —(2)
From equation (1) and equation (2)
⇒ (d + 155)/16 = (d + 195)/18
⇒ (d + 155)/8 = (d + 195)/9
⇒ 9d + 1395 = 8d + 1560
⇒ 9d – 8d = 1560 – 1395
⇒ d = 165
From equation (1)
⇒ x × 5/18 = (165 + 155)/16
⇒ x × 5/18 = 320/16
⇒ x = 20 × 18/5
⇒ x = 72 km/hr
As we know,
⇒ 1 km/hr = 5/18 m/sec
94. A can do work in 6 days. B takes 8 days to complete the work. C takes the time equal to the time taken by A and B to work together to complete that task. If B and C work together, how much time will they take to complete the work?
A. 13/5 days
B. 14/5 days
C. 12/5 days
D. 11/5 days
Solutions
Given:
Time taken by A to complete the work = 6 days
Time taken by B to complete the work = 8 days
Formula used:
Efficiency = Total work/Time taken
Calculation:
LCM of 6 and 8 = 24 = Total work
Efficiency of A = 24/6 = 4 units/day
Efficiency of B = 24/8 = 3 units/day
Total effiiciency of A and B = (4 + 3) units/day
⇒ 7 units/day
So, the Efficiency of C will also be 7 units/day as it is taking the same number of days as A and B together
So, Total efficiency of B and C = (3 + 7) units/day
⇒ 10 units/day
Time taken by B and C to complete the work = 24/10 days
⇒ 12/5 days
∴ They will take 12/5 days to complete the work
Alternate Method
Total work = 24
According to the question
The efficiency of A and B = Efficiency of C
Efficiency of A and B = 4 + 3 = 7
B and C together can complete the whole work in = 24/(3 + 7) = 24/10 = 12/5 days
95. Name the cricketer who holds the record for scoring the quickest 8,000 runs in one-day international cricket as of 15-Jun-2017.
A. Virat Kohli
B. MS Dhoni
C. R Ashwin
D. Shikhar Dhawan
Solutions
The correct answer is option 1 i.e Virat Kohli.
- The cricketer Virat Kohli who holds the record for scoring the quickest 8,000 runs in one-day international cricket as of 15-Jun-2017.
- He became the fastest cricketer to score 8000 runs in ODIs during his gallant, undefeated 96 run against Bangladesh in the ICC Champions Trophy semifinals at Edgbaston cricket ground, Birmingham.
- He crossed the 8000-run mark in his 175th outing to go ahead of South African cricketer AB de Villiers, who had taken 182 innings to reach the milestone.
- Sourav Ganguly (200 innings) and Sachin Tendulkar (210 innings) are now third and fourth on the list.
- As of October 2019, Kohli scored 27 Test and 43 ODI centuries, making him the second most effective ODI cricket centurion after Sachin Tendulkar[322].
96. Mass/Volume = ?
A. Force
B. Momentum
C. Inertia
D. Density
Solutions
The correct answer is option 4 i.e Mass/Volume = Density
- The symbol used for density is the ρ (lower case of the Greek letter rho).
- The density of the material varies depending on temperature and pressure.
- This variation is typically small for solids and liquids, but much higher for gases. Increasing the pressure on the object reduces the volume of the object and thus increases its density.
- Increasing the temperature of the material (with a few exceptions) decreases its density by increasing its thickness.
- In most materials, the heating of the bottom of the fluid results in the convection of the heat from the bottom to the top due to a decrease in the density of the heated fluid.
- This causes it to rise relative to more dense non-heated material.
97. Each side of a square park is 25 m. And there are 2.2, m wide two paths passing its center. Rs. What is the total cost of laying gravel on the paths at a cost of 1.dm2?
A. Rs. 105.16
B. Rs. 110
C. Rs. 11,000
D. Rs. 10,516
Solutions
As we know,
1 m = 10 dm
25 m = 250 dm
Breadth of the path = 2.2 m
1 m = 10 dm
Breadth of the path = 22 dm
Side of square shape park = 250 dm
Length of the path = 250 + 250 = 500 dm
Area of the path = 22 × 500 – 22 × 22 = 11000 – 484 = 10516 dm2
Cost of levelling path 1 dm2 = Rs. 1
Cost of levelling path 10516 dm2 = Rs. 10516
98. Simplify: (3.6 + 6.4) (3.6 – 6.4) – (3.6 – 6.4)2 = ?
A. 29.6
B. 32.6
C. 32.68
D. -35.84
Solutions
⇒ (3.6 + 6.4) (3.6 – 6.4) – (3.6 – 6.4)2 = ?
⇒ 10 × (-2.8) – (-2.8)2 = ?
⇒ -28 – 7.84 = ?
⇒ -35.84 = ?
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 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 least, the parts of the equation that contain ‘Addition’ and ‘Subtraction’ should be calculated.
99. Which city is the second capital of Himachal Pradesh?
A. Kullu
B. Manali
C. Mandi
D. Dharamshala
Solutions
The correct answer is option 4 i.e Dharamshala.
- Dharamshala is the second capital of Himachal Pradesh.
- On 19 January 2017, Chief Minister Virbhadra Singh declared Dharamshala the second capital of the state of Himachal Pradesh, making Himachal Pradesh the third state of India with two capitals after Jammu and Kashmir and Maharashtra.
- Dharamshala was chosen as one of the 100 Indian cities to be developed as a smart city under the flagship of PM Narendra Modi’s Smart Cities Mission.
- Dharamshala is the headquarters of the Kangra district of Himachal Pradesh.
- The district of Kangra was part of the British province of Punjab. The administrative headquarters of the district were originally in Kangra but moved to Dharamshala in 1855.
- Shimla is the capital city of Himachal Pradesh.
100. Two arguments have been given after one statement you have to decide which argument is strong with respect to the given statement.
Statement:
The rural poor farmers should be subsidized on fertilizers.
Argument:
I. Yes, This improves the income of food donor of the nation.
II. No, It is a waste of public Money.
A. Neither I nor II is strong.
B. Only argument II is strong.
C. Only argument I is strong.
D. Either I or II is strong
Solutions
Argument 1: This is strong, because providing subsidised fertilizers will increase the income of the farmers.
Argument 2: This is not strong, because nothing is mentioned about people’s money in the statement.
Hence, “only argument 1” is strong.
