1.On a certain sum, simple interest for 5/2 years at an annual rate of 12% is Rs. 50 less than the interest on the same sum for 7/2 years at an annual rate of 10%. Find the sum.
A. Rs. 1500
B. Rs. 1000
C. Rs. 1200
D. Rs. 2000
Solutions
Let, the sum = Rs. 100x
According to the question,
⇒ 100x × 7/2 × 10/100 – 100x × 5/2 × 12/100 = 50
⇒ 35x – 30x = 50
⇒ 5x = 50
⇒ x = 10
∴ The sum = Rs. 100 × 10 = Rs. 1000
2. The Ninety East Ridge is a submarine volcanic ridge located in which ocean?
A. Pacific Ocean
B. Atlantic Ocean
C. Arctic Ocean
D. Indian Ocean
Solutions
- The Indian Ocean is one of the world’s main oceanic divisions with around 20 percent of the water on the earth.
- This ocean has most active spreading ridges of the mid-ocean ridge network worldwide.
- The Ninety East Ridge is a common Indian Ocean hotspot.
- The Ninety East Ridge is a single-dimensional structure situated on Indian Ocean floor.
- This ridge extends from the Bay of Bengal to the Southeast Indian Ridge, 5000 km long and 200 m high.
- This landform is named the ‘Ninety East Ridge’ because it is located near the spot where the Eastern Hemisphere main parallel crosses along the 90th meridian.
- This is one of the Indian Ocean’s significant relief features, as it separates the Indian Ocean into the West and East Indian Oceans.
- This was created about 43.2 million years ago by the northward movement of the Indo-Australian Plate.
- Indian ocean is the 3rd largest ocean in the world.
- Java trench, also known as Sunda trench is located in the northeastern Indian ocean.
- Pacific Ocean’s shape is roughly triangular with its apex in the north at the Bering Strait.
3. ______ is the most electropositive element among the given alternatives.
A. S
B. Cl
C. Mg
D. Al
Solutions
- Among the given elements, Mg is most electropositive. Metals are electropositive. Mg is followed by Aluminium.
- Caesium (Cs) is the most electropositive of the stable elements having atomic no 55.
- Atoms which tend to donate electrons are called Electropositive atoms, and the atom converts into a positive ion (M+) upon donating electrons.
- The general valency of electropositive elements is 1, 2, 3.
- The atoms which have 1, 2, 3 electrons in their valence shell will lose their electrons to attain a stable electronic configuration.
- Some examples of electropositive elements are Sodium, Magnesium, Aluminium, these 3 elements will lose electrons to attain the configuration of Noble gas Neon.
- The electronegativity of Aluminium is 1.61 in the Pauling scale and electronegativity of Magnesium is 1.31, also in the Pauling scale. Hence If electronegativity is large, then electro positivity is less . Hence Magnesium has higher electropositivity.
4. An object is released from a certain height above the ground. Just at the time it touches the ground, it will possess ______.
A. heat energy
B. chemical energy
C. kinetic energy
D. potential energy
Solutions
- An object is released from a certain height above the ground. Just at the time it touches the ground, it will possess kinetic energy.
- When the body falls from height potential energy decreases but kinetic energy increases but overall energy remains constant.
- Energy:
- An object having the capability to do work is said to possess energy. The object which does the work loses energy and the object on which the work is done gains energy.
- Its unit is Joule.
○ Energy = Kinetic energy+Potential energy
○ According to the law of conservation of energy, energy always remains constant.
- Kinetic energy:
- The energy of an object due to its motion is called kinetic energy.
- The kinetic energy of a moving body is given by the formula:
. Hence, kinetic energy is directly proportional to the square of velocity.
- Potential energy:
- The energy of an object due to its position is the potential energy.
- P.E = mgh
- So when height is increasing, P.E will increase (on moving a body against gravitational force) and when height is decreasing, P.E will decrease (on free fall of an object).
5. The area of the circumcircle of a right angle triangle whose sides are 6 cm, 8 cm and 10 cm will be:
A. 9π cm2
B. 25π cm2
C. 24.5π cm2
D. 16π cm2
Solutions

In the figure, AB = 8 cm, BC = 6 cm and CA = 10 cm
We can observe that AC is the diameter of the circumcircle.
∴ Radius of circumcircle = OA = OC = 10/2 = 5 cm
∴ Area of circumcircle = π × 52 = 25π cm2
6. A milkman adds a small amount of baking soda to fresh milk:
A. To improve taste of milk
B. To increase the cream in the milk
C. To prevent acidification of milk
D. To improve the consistency of milk
Solutions
- A milkman adds a small amount of baking soda to fresh milk to prevent acidification of milk.
- By adding a small amount of baking soda, the milkman shifts the pH of the fresh milk from 6 to slightly alkaline so that he can keep it for a longer time as the milk in alkaline condition, does not set curd easily.
- This milk becomes slightly basic because of the addition of baking soda, since acids formed in this milk are neutralized due to bacterial behavior.
- Therefore, it takes longer time for this milk to set as curd.
- Sodium Bicarbonate is the chemical name of Baking Soda.
- The other name for Sodium Bicarbonate is Sodium Hydrogen Carbonate.
- It is popularly called cooking soda.
- The chemical formula of Baking Soda is NaHCO3.
7. On selling a jute bag for Rs. 48, Ashmitha incurs a loss of 20%. In order to make a profit of 20% what should be the selling price of the jute bag?
A. Rs. 56
B. Rs. 72
C. Rs. 52
D. Rs. 68
Solutions
Short Trick:
Required selling price = Rs 48 × 100/80 × 120/100 = Rs 72
Detailed Solution:
Let, cost price of the jute bag = Rs 100x
According to the question,
⇒ 100x – 100x × 20/100 = 48
⇒ 80x = 48
⇒ x = 0.6
∴ Cost price of the jute bag = 100 × 0.6 = Rs. 60
∴ Selling price at 20% profit = Rs. 60 × 120/100 = Rs. 72
8. The molecular mass of O2 is _______
A. 8
B. 16
C. 32
D. 64
Solutions
1.The molecular mass of atmospheric oxygen is 32 units.
2.Atmospheric oxygen is present in the form of molecule with chemical formula .
3.As there are two atoms of oxygen we double the mass of a single oxygen atom 16 x 2 = 32 units.
4. Molecular Mass:
- Molecular mass is the sum of atomic masses of the elements present in a molecule.
- It is obtained by multiplying the atomic mass of each element by the number of its atoms and adding them together.
9. Sadhguru Jaggi Vasudev has been awarded with Padma vibhushan award in 2017 by the government of India for his contribution towards which of the following ___________.
A. Politics
B. Musics
C. Spirituality
D. Sports
Solutions
- On 13th April 2017, Sadhguru was conferred the “Padma Vibhushan” by the Government of India, the highest amongst the annual civilian awards, accorded for exceptional and distinguished service in Spirituality.
- Jaggi Vasudev founded Isha Foundation in Coimbatore in 1994.
- The Foundation’s focus ever since has been ‘yoga for all’, delivering yoga programmes to not just India but the United States, United Kingdom, Malaysia, China, Lebanon and other countries.
- The United Nations has recognised the Foundation by granting it special consultative status with the intergovernmental organisation’s Economic and Social Council.
- Seven people were conferred with Padma Vibhushan in 2017.
| Name | Field | State |
| Shri K J Yesudas | Art-Music | Kerala |
| Sadhguru Jaggi Vasudev | Spiritualism | Tamil Nadu |
| Shri Sharad Pawar | Public Affairs | Maharashtra |
| Shri Murli Manohar Joshi | Public Affairs | Uttar Pradesh |
| Prof. Udipi Ramachandra Rao | Science & Engineering | Karnataka |
| Late Shri Sunder Lal Patwa (Posthumous) | Public Affairs | Madhya Pradesh |
| Late Shri PA Sangma(Posthumous) | Public Affairs | Meghalaya |
10. If the cost of tomatoes increases by 25% per Kg and Sudha wants to spend only 15% more on the tomatoes. Calculate the percentage decrease in the quantity of tomatoes that Sudha gets.
A. 12.5%
B. 8%
C. 10%
D. 12%
Solutions
Given:
If the cost of tomatoes increases by 25% per Kg and Sudha wants to spend only 15% more on the tomatoes.
Short Trick:
Decrease in quantity = [1 – 115/125] × 100% = (1 – 0.92) × 100% = 8%
Detailed Solution:
Let, price of tomato previously = Rs. 100x/kg
Price of tomato now = Rs. 125x/kg
Let, spending on tomato previously = Rs. 100y
Spending on tomato now = Rs. 115y
Quantity of tomato she got previously = 100y/100x = y/x kg
Quantity of tomato she gets now = 115y/125x = 0.92y/x kg
Percentage decrease in quantity

∴ percentage decrease is 8%.
11. Which of the following does NOT belong to this group?
a. ant
b. caterpillar
c. hamster
d. locust
A. C
B. B
C. A
D. D
Solutions
All options except ‘hamster’ belongs to the class insecta, while ‘hamster’ belongs to the class mammalia.
| Term | Explanation |
| ant | Ants are eusocial insects of the family Formicidae and, along with the related wasps and bees, belong to the order Hymenoptera |
| caterpillar | Caterpillars are the larval stage of members of the order Lepidoptera |
| hamster | Hamsters are rodents (order Rodentia) belonging to the subfamily Cricetinae. |
| locust | Locusts are a collection of certain species of short-horned grasshoppers in the family Acrididae that have a swarming phase. |
Hence, ‘hamster’ is the odd one out.
12. Identify the founder of Paytm who was listed in TIME magazine’s Most Influential People list 2017 along with Prime Minister Narendra Modi?
A. Vijay Bhaskar
B. Vijay Shekhar Sharma
C. Vijay Malya
D. Narendra Kumar
Solutions
- Vijay Shekhar Sharma is an Indian business billionaire.
- He is the founder of mobile payment service Paytm.
- In 2017, Sharma was listed by Forbes as the youngest billionaire in India with a net worth of $2.1 billion.
- In 2017, he was on the list of Time Magazine’s 100 Most Influential People.
- Paytm is India’s largest leading payment gateway that offers comprehensive payment services for customers and merchants.
- Paytm had launched its payments bank in India in May 2017.
13. {8 + (24 + 3)} ÷ 9 = ?
A. 3
B. 9
C. 4
D. 8
Solutions
{8 + (24 + 3)} ÷ 9
⇒ {8 + (16 + 3)} ÷ 9
⇒ (8 + 19) ÷ 9
⇒ 27 ÷ 9
⇒ 3
14. How many right-angled triangles are there in the following figure?

A. 16
B. 14
C. 12
D. 15
Solutions
The right-angled triangles in the figure are shown below:

- Hence, the figures has a total of 16 right-angled triangles.
15. Given is a statement followed by two assumptions numbered I and II. Consider the statement and the following assumptions and decide which of the assumptions is/are implicit in the statement.
Statement:
Global warming, species extinction and deforestation are posing a threat to the environment.
Assumptions:
I. The more we exploit and degrade our environment, the more ecological imbalance we create, ultimately putting the very existence of human life at risk.
II. Every species is dependent on every other species for survival, directly or indirectly. Human beings are the ones who depend on maximum number of species for not only our survival but also for our development needs.
A. Only assumption I is implicit
B. Both assumptions I and II are implicit
C. Neither assumption I nor II is implicit
D. Only assumption II is implicit
Solutions
(Implicit – suggested though not directly expressed)
Global warming, species extinction and deforestation are some of the factors behind environment degradation. The statement says that these are posing a threat to the environment.
Since humans are a part of the environment, it is safe to assume that these factors put human life at risk.
Thus, assumption I is implicit.
The statement says that species extinction is a threat to the environment. Thus, it implies that this affects every living being in a harmful sense.
Therefore, we can assume that living beings are interdependent on each other for their survival.
Hence, both assumptions I and II are implicit.
16. By walking at 4/5 of his usual speed, Soham is 6 minutes late to office. How much time does he usually take to get to office?
A. 16 minutes
B. 25 minutes
C. 24 minutes
D. 20 minutes
Solutions
Let, his actual speed = x km/h
Let, he usually takes t min to get to office
According to the question,
⇒ x × t/60 = 4x/5 × (t + 6)/60
⇒ 5t = 4t + 24
⇒ t = 24
∴ He usually takes 24 minutes to get to office
17. There is a maximum gap of x years between two successive leap years. What is the value of x?
A. 4
B. 2
C. 8
D. 1
Solutions
Every 4th year (which is a multiple of 4) is a leap year except for century years.
A century year is a leap year only if it is divisible by 400.
Therefore, 1700, 1900 etc. are not leap years.
Thus, 1696 is a leap year. But the next leap year would be 1704.
Thus, the minimum gap between two successive leap years is 4 and the maximum gap is 8.
Hence, ‘8’ is the correct answer.
Note: A century year is a year that is divisible by 100.
18. An object is stationary then the force is still acting on it is:
A. Weight
B. Momentum
C. Acceleration
D. Impulse
Solutions
The Correct Answer is Option 1 i.e Weight.
- An object is stationary then the force is still acting on it is Weight.
- Weight is just another word for the force of gravity Fg.
- Weight is a force that acts at all times on all objects near Earth.
- Momentum: It is defined as the quantity of motion of the body.
- Acceleration is the rate of change of velocity.
19. The ______ acts as a food store in plant seeds.
A. cotyledons
B. plumule
C. ovule
D. radicle
Solutions
- The cotyledons act as a food store in plant seeds.
- Ovules after fertilisation, develop into seeds.
- A seed is made up of a seed coat and an embryo.
- The embryo is made up of a radicle, an embryonal axis and one (as in wheat, maize) or two cotyledons (as in gram and pea).
- The
- Cotyledons are often fleshy and full of reserve food materials.
- At the two ends of the embryonal axis are present the radicle and the plumule.
- In some seeds such as castor the endosperm formed as a result of double fertilisation, is a food storing tissue.
- In plants such as bean, gram and pea, the endosperm is not present in mature seeds and such seeds are called non-endospermous.
20. The square root of (882/1922) is:
A. 21/31
B. 20/31
C. 22/31
D. 19/31
Solutions
√(882/1922)
⇒ √[(2 × 441)/(2 × 961)]
⇒ √[(21)2/(31)2]
The square root of 882/1922 = ![]()
21. Name the athletic event in which Manpreet Kaur won a gold medal in the first leg of Asian Grand Prix Athletics Meet?
A. Long jump
B. High jump
C. Shot put
D. Discus throw
Solutions
- Indian shot putter Manpreet Kaur bagged the gold medal in the first leg of the Asian Grand Prix Athletics Meet, in Jinhua, China.
- Kaur broke her own 2015 national record.
- Her best throw was of 18.86m in the season-opening international event for the Indians, which was nearly one metre more than her earlier national record of 17.96m, which she had set in the year 2015.
- The shot, a metal ball (7.26kg/16lb for men, 4kg/8.8lb for women), is put – not thrown – with one hand. The aim is to put it as far as possible from a seven-foot diameter (2.135m) circle that has a curved 10-centimetre high toe-board at the front.
- In order for the put to be measured, the shot must not drop below the line of the athlete’s shoulders at any stage of the put and must land inside a designated 35-degree sector.
- The athlete must not touch the top of the toe-board during their put or leave the circle before the ball has landed, and then only from the rear half of the circle.
- Athletes will commonly throw four or six times per competition. In the event of a tie, the winner will be the athlete with the next-best effort.
- The men’s shot put has been part of every modern Olympics since 1896, but women putters had to wait until 1948 before they could compete at the Games.
22. From the top of a platform 7 m high, the angle of elevation of a tower was 30°. If the tower was 47 m high, how far away from the tower was the platform positioned?
A. 15√3 m
B. 40 m
C. 45√3 m
D. 40√3 m
Solutions

In the figure, Platform AX = 7 m and Tower, CY = 47 m
∴ BC = 47 – 7 = 40 m
According to the question,
⇒ tan 30° = 40/AB
⇒ 1/√3 = 40/AB
⇒ AB = 40√3
∴ The tower was 40√3 m away from the platform
23. Choose the mirror image for the following figure when the mirror is kept at the MN line.

A. A
B. B
C. D
D. C
Solutions
The mirror image for the following figure when the mirror is kept at the MN is shown below:

- Hence, figure ‘B’ is the correct answer.
24. Consider the given statement to be true even if it seems to be at variance with the commonly known facts and decide which of the given conclusion logically follow(s) from the statement.
Statement:
Waste management is one of our country’s most important concerns these days given the fast pace of growing population and increasing wastes.
Conclusions:
I. The indisposed waste causes a lot of harm to our environment and breeds various diseases.
II. It will certainly be helpful to address public or students at any institution on waste management.
A. Only conclusion II follows.
B. Only conclusion I follows
C. Both conclusions I and II follow
D. Neither conclusion I nor II follows
Solutions
The conclusion I follows as the harmful effects and diseases caused by waste justifies the statement, why it is our country’s most important concerns these days.
Creating public awareness is one of the best ways to deal with the issue of waste management given that it is a national concern.
Thus, the conclusion that this course of action will be helpful follows from the given statement.
Hence, both conclusions I and II follow
25. Find the missing term in the following series.
B-25, ?, F-9, H-4
A. S-18
B. D-20
C. T-19
D. D-16
Solutions
The logic is:

First, let us split the letters and numbers.
B, ?, F, H
As we move one step ahead in the series, we see that each letter is moving two steps forward.
25, ?, 9, 4
The numbers form a series of squares of the numbers 2 to 5 in the descending order.

- Hence, ‘D-16’ is the correct answer.
26. If KIN is written as PRM, then how would you write THREAD?
A. GSIVZW
B. GSIVWZ
C. GSIVYW
D. GRIUZW
Solutions
The logic is:

Letters are coded by their reverse letter.
| K | I | N |
| P | R | M |
Similarly,
| T | H | R | E | A | D |
| G | S | I | V | Z | W |
Hence, ‘GSIVZW’ is the correct answer.
27. Select the most appropriate option.
1 KWh = ______
A. 3,60,000 J
B. 3,600 J
C. 36,00,000 J
D. 36,000 J
Solutions
- Kilowatt-hour (kWh) and joules (J) are units of energy.
- 1 Kilowatt Hour = 3.6 x 106 Joules.
- 1 Joule is equal to 1 watt per 1 second
- Hence 1 kWh is equal to 1 x 1000 x 60 x 60 ⇒ 3600000 J
- It can also be written as 3.6 x 106 Joules.
- Hence 1kWH is equal to 3.6 x 106 Joules.
28. A 161.5-m-long train crosses a 758.5-m-long bridge in 46 seconds. What is the speed of the train?
A. 80 km/h
B. 72 km/h
C. 75 km/h
D. 78 km/h
Solutions
Short Trick:
Speed of the train = (161.5 + 758.5)/46 = 920/46 = 20 m/s = 20 × 18/5 km/h = 72 km/h
Detailed solution:
Let, speed of the train = x m/s
When a train crosses a bridge it crosses the length of train itself and length of the bridge.
According to the question,
⇒ 46x = 161.5 + 758.5
⇒ 46x = 920
⇒ x = 20
∴ Speed of the train = 20 m/s = 20 × 18/5 km/h = 72 km/h
29. What is the maximum strength of Lok Sabha?
A. 548
B. 545
C. 550
D. 552
Solutions
The correct answer is 552.
Key Points
- The maximum strength of the House envisaged by the Constitution is now 552.
- Article 81 of the Constitution of India 1949 has specified the maximum strength of Members of Parliament in the Lok Sabha to be 552.
- Out of the maximum permitted strength, not more than 530 members are to be chosen by direct election from territorial constituencies in the Indian states,
- Not more than 20 members are to represent the union territories, chosen in such manner as Parliament of India may by law provide.
- Lok Sabha is the lower house, while Rajya Sabha is the upper house of the Parliament.
- Article 80 of the Indian Constitution lays down the maximum strength of Rajya Sabha as 250, out of which 12 members are nominated by the President and 238 are representatives of the States and of the two Union Territories.
- The Vice President of India will act as Ex-Officio Chairman of Rajya Sabha.
30. The walls of sclerenchyma cells are thickened due to ______.
A. Hemi-cellulose
B. Lignin
C. Cellulose
D. Pectin
Solutions
The correct answer is option 2, i.e. Lignin.
Key Points
- Sclerenchyma is the tissue which makes the plant hard and stiff.
- The husk of a coconut – It is made of sclerenchymatous tissue.
- The cells of this tissue are dead.
- They are long and narrow as the walls are thickened due to lignin.
- Often these walls are so thick that there is no internal space inside the cell.
- This tissue is present in stems, around vascular bundles, in the veins of leaves and in the hard covering of seeds and nuts.
- It provides strength to the plant parts.
- Cells specializing in one function are often grouped together in the body.
- This means that a particular function is carried out by a cluster of cells at a definite place in the body.
- This cluster of cells, called a tissue, is arranged and designed so as to give the highest possible efficiency of function.
- Blood, phloem and muscle are all examples of tissues.
31. Which of the following is the indigenously designed and developed long-range subsonic cruise missile of India?
A. Nag
B. Nirbhay
C. Helina
D. Pinaka
Solutions
The correct answer is option 2 i.e. Nirbhay
- Nirbhay is the indigenously designed and developed long-range subsonic cruise missile of India.
| Missiles | Type | Range |
| Nag | Anti Tank Missile | 4 km |
| Helina | Anti Tank Missile | 7 to8 km |
| Pinaka | multiple rocket launcher | 40 km for Mark-I and 65 km for mark-II |
| Nirbhay | Subsonic Cruise Missile | 1,000 to1,500 km |
Anti Tank guided missile: It is a medium or long-range missile whose primary purpose is to destroy tanks and other armoured vehicles.
NOTE:-
- BrahMos, the world’s fastest cruise missile is developed jointly by India & Russia and named after two rivers, the Brahmaputra of India and the Moskva of Russia.
32. If √108 + √243 = 25.98 Find the value of √147 + √192.
A. 25.98
B. 26.89
C. 27.712
D. 24.248
Solutions
⇒ √108 + √243 = 25.98
⇒ √(36 × 3) + √(81 × 3) = 25.98
⇒ 6√3 + 9√3 = 25.98
⇒ 15√3 = 25.98
⇒ 7√3 + 8√3 = 25.98
⇒ √(49 × 3) + √(64 × 3) = 25.98
⇒ √147 + √192 = 25.98
33. What is the quantity of copper in 1 kg of alloy if the alloy contains 32% copper, 40% zinc and the rest is nickel?
A. 400 g
B. 240 g
C. 280 g
D. 320 g
Solutions
Quantity of copper = 32%
∴ Quantity of copper in 1 kg alloy = 1 × 32/100 = 0.32 kg = 320 g
34. A tap can fill the tank in 25 minutes and the other can empty the tank in 50 minutes. If both the tap are opened simultaneously, then the tank will be filled in time?
A. 1 hour, 10 minutes
B. 50 minutes
C. 1 hour, 5 minutes
D. 55 minutes
Solutions
A tap can fill the tank in = 25 minutes
∴ In 1 minute the tap can fill = 1/25
Other tap can empty the tank in = 50 minutes
∴ In 1 minute the other tank can empty = 1/50
Let, if both taps are opened together, then the tank will be filled in = x min
According to the question,
⇒ x/25 – x/50 = 1
⇒ (2x – x)/50 = 1
⇒ x = 50
∴ If both the taps are opened simultaneously, then the tank will be filled in 50 minutes
35. ______ is NOT a covalent molecule.
A. 
B. 
C. 
D. 
Solutions
The correct answer is option 1, i.e.
- Here CaO is not forming covalent bonds because Calcium is donating its two valence electrons permanently while Oxygen is receiving the two electrons from the Calcium atom, this type of bonding is known as ionic bond.
- Ionic bond, also called the electrovalent bond, is a type of linkage formed from the electrostatic attraction between oppositely charged ions in a chemical compound.
- Such a bond forms when the valence (outermost) electrons of one atom are transferred permanently to another atom.
- The atom that loses the electrons becomes a positively charged ion (cation), while the one that gains them becomes a negatively charged ion (anion).
Additional Information
- Covalent Bond:
- When two atoms share one electron pair they are said to be joined by a single covalent bond.
- In many compounds, we have multiple bonds between atoms. The formation of multiple bonds envisages the sharing of more than one electron pair between two atoms.
- If two atoms share two pairs of electrons, the covalent bond between them is called a double bond.
- For example, in the carbon dioxide molecule, we have two double bonds between the carbon and oxygen atoms. Similarly in the ethene molecule, the two carbon atoms are joined by a double bond.
- When combining atoms share three electron pairs as in the case of two nitrogen atoms in the N2 molecule and the two carbon atoms in the ethyne molecule, a triple bond is formed.
36. The sum of two fractions is 7/4. One of them is 5/3. What is the other fraction?
A. 2/1
B. 1/12
C. 1/5
D. 1/10
Solutions
Given:
Sum of two fractions = 7/4
1st fraction = 5/3
Formula:
Sum = 1st fraction + 2nd fraction
Calculation:
The other fraction = 7/4 – 5/3 = (7 × 3 – 5 × 4)/12 = (21 – 20)/12 = 1/12
37. Select the option figure that will complete the series of question figures.

A. C
B. B
C. A
D. D
Solutions
The Z shaped figure flips horizontally in alternate steps.
Therefore, options 3 and 4 are eliminated.
The arrows are rotating in the clockwise direction in each step.
There is no change in the direction of arrows in B. Therefore, option 2 is eliminated.
Hence, figure C is the correct answer.
38. If today is Monday, then find the day after 61 days?
A. Tuesday
B. Saturday
C. Monday
D. Friday
Solutions
Today is Monday.
Every day repeats after 7 days, hence Monday will repeat after every 7 days.
∴ To find the day after 61 days
∴ 61 days ÷ 7 = 8 weeks 5 odd days.
So, the 5th day after Monday is Saturday.
Hence, ‘Saturday’ is the correct answer.
39. Who among the following was the founder of Swatantra Party?
A. Gopal Krishna Gokhale
B. C Rajagoplachari
C. Kamaraj
D. Vallabhbhai patel
Solutions
The correct answer is option 2 i.e. C Rajagopalachari
- C. Rajagopalachari (1878-1972) was a freedom fighter, politician, an associate of Gandhi and the final governor general of India.
- Rajagopalachari parted ways with the Congress in 1957 after being disillusioned by the path it was taking.
- He founded the Swatantra Party in 1959, which favoured classical liberal principles and free enterprise.
- In this speech made in April 1973, he highlighted the purpose and the need of the party at the time.
- The Swatantra Party stands for the protection of the individual citizen against the increasing trespasses of the State.
- The Swatantra Party is founded on the claim that individual citizens should be free to hold their property and carry on their professions freely and through binding mutual agreements among themselves and that the State should assist and encourage in every possible way the individual in this freedom, but not seek to replace him.
- The Swatantra party believes that going over to the enemy is not defence, but surrender.
- Gopal Krishna Gokhale founded the Servants of India Society in 1905.
- Its objective was to unite and train Indians of different religions and ethnicities in welfare work.
- K. Kamaraj was born humble and poor in a backward area of Tamil Nadu on July 15, 1903.
- He became Chief Minister of Madras in 1954.
- Indian Government gave Bharat Ratna to K. Kamaraj for Public Affairs in the year of 1976 after his death.
- Vallabhbhai Jhaverbhai Patel was born in Nadiad, Gujarat.
- When India attained Independence he became the Deputy Prime Minister and was responsible for the Home, States and the Information and Broadcasting portfolios.
40. Which of the options bears the closest resemblance to the following figure?

A. B
B. C
C. D
D. A
Solutions
The given figure is a pentagon with 4 small circles inside it.
Answer figure ‘C’ has the same shape of pentagon as in question figure and has four small circles inside it.
Hence, figure ‘C’ is the correct answer.
41. How many factors of 1296 are perfect squares?
A. 8
B. 9
C. 12
D. 10
Solutions
Concept:
Factorize the given number and then make pairs of same numbers to get the possible square factors.
Calculation:
1296 = 22 × 22 × 32 × 32
∴ Factors of 1296 that are perfect squares = 1, 22 = 4, 32 = 9, (22 × 22) = 16, (22 × 32) = 36, (32 × 32) = 81, (22 × 22 × 32) = 144, (22 × 32 × 32) = 324, (22 × 22 × 32 × 32) = 1296
∴ Number of factors = 9
42. Which organization has set up the Govardhan Eco Village in Maharashtra?
A. RSS
B. Isha Foundation
C. ISKCON
D. GaugiyaMath
Solutions
The correct answer is option 3, i.e. ISKCON
- Expanded over 100 acres of area, Govardhan Ecovillage is a project of the International Society for Krishna Consciousness (ISKCON) . The project is owned and managed by ISKCON Wada.
- Govardhan Ecovillage is a place that houses several eco-friendly initiatives. Govardhan Ecovillage is implementing several rural development initiatives in many villages nearby with the help of Sri Chaitanya Seva Trust.
- The United Nations awards Govardhan Ecovillage for sustainable development and World Tourism.
43. Find the values of k for which x2 + 5kx + k2 + 5 is exactly divisible by x + 2 but not divisible by x + 3.
A. Both 1 and 9
B. 9
C. 1
D. Neither 1 nor 9
Solutions
x2 + 5kx + k2 + 5 is exactly divisible by (x + 2), by putting x = – 2 we get,
⇒ (- 2)2 + 5k × (- 2) + k2 + 5 =0
⇒ k2 – 10k + 9 = 0
⇒ k2 – 9k – k + 9 = 0
⇒ k(k – 9) – (k – 9) = 0
⇒ (k – 9)(k – 1) = 0
⇒ k = 9 or 1 —(1)
x2 + 5kx + k2 + 5 is not divisible by (x + 3), by putting x = – 3 we get,
⇒ (- 3)2 + 5k × (- 3) + k2 + 5 ≠ 0
⇒ k2 – 15k + 14 ≠ 0
⇒ k2 – 14k – k + 14 ≠ 0
⇒ k(k – 14) – (k – 14) ≠ 0
⇒ (k – 14)(k – 1) ≠ 0
⇒ k ≠ 14 or 1 —(2)
From (1) and (2) we get,
⇒ k = 9
44. Which of the given elements A, B, C, D and E with atomic number 2, 3, 7, 10 and 30 respectively belong to the same period?
A. B, C, D
B. A, D, E
C. B, D, E
D. A, B, C
Solutions
The correct answer is option 1, i.e. B, C, D
- We know that elements are grouped into a period depending on the valence shell that is being filled.
| Element | Electron configuration |
| A (2) | 2 |
| B (3) | 2, 1 |
| C (7) | 2, 5 |
| D (10) | 2, 8 |
| E (30) | 2, 8, 8, 12 |
- So, for A, the first shell is being filled so it belongs to the first period.
- For B,C,D, the second shell is being filled, so they belong to the second period.
- For E, the fourth shell is being filled, so it belongs to the fourth period.
- So, the elements B,C,D belong to the same period.
45. _______ is the commercial unit of energy.
A. Kilowatt
B. Watt hour
C. Kilowatt hour
D. Joule
Solutions
The correct answer is option 3, i.e. Kilowatt hour
- The Commercial unit of Energy is Kilowatt-hour also called “UNIT”.
- As the Power consumption in commercial cases is very high hence we can not measure Energy in joules.
- For commercial purposes, we measure Energy in Kilowatt-hour.
- 1 Kilowatt-hour is defined as the energy consumed by a device of power 1 KW in 1 hour.
- 1 Kilowatt-hour = 3600000 J.
- Unit of work is Joule.
- Unit of Power is Watt.
46. If “MAP” is coded as KYN in a code language, how will “REDUCE” be written in the same code?
A. OBARBD
B. PCBSAC
C. OBASBD
D. PCBSAB
Solutions


- Hence, ‘PCBSAC’ is the correct answer.
47. The prefix added to the name of the hydrocarbon with 4 carbon atoms is.
A. Prop
B. Eth
C. Hept
D. But
Solutions
The correct option is 4, i.e. But
- The prefix added to the name of the hydrocarbon with 4 carbon atoms is But.
| Prefix | Number ofCarbon atoms |
| Meth- | 1 |
| Eth- | 2 |
| Prop- | 3 |
| But- | 4 |
| Pent- | 5 |
| Hex- | 6 |
| Hept- | 7 |
| Oct- | 8 |
| Non- | 9 |
| Dec- | 10 |
- The suffix or ending of the name of a hydrocarbon depends on the nature of the chemical bonds between the carbon atoms.
- Hydrocarbon is an organic compound consisting entirely of hydrogen and carbon.
- Alkanes, alkenes and alkynes are the types of hydrocarbons.
- The name of the hydrocarbon and their characteristic is given below:
- The suffix or ending of the name of a hydrocarbon depends on the nature of the chemical bonds between the carbon atoms.
| Hydrocarbon | Characteristic |
| Alkane | Carbon Carbon single bond |
| Alkene | Carbon Carbon double bond |
| Alkyne | Carbon Carbon triple bond |
48. Read the given statement(s) and conclusions carefully and select which of the conclusions logically follow(s) from the statement(s).
Statements:
All mud are vessels.
All vessels are containers.
Conclusions:
1. All containers are mud.
2. Some vessels are mud.
A. No conclusion follows.
B. Only conclusion 2 follows.
C. Only conclusion 1 follows.
D. Both conclusions follow
Solutions
The least possible Venn diagram is:

1. All containers are mud. → False (It is possible but not definite)
2. Some vessels are mud. → True (All mud are vessels)
Hence, only conclusion 2 follows.
49. In a library, there are 10 different sections and the librarian categorises the books over 20 days. Which section has the least number of books?

A. Section 7
B. Section 9
C. Section 8
D. Section 5
Solutions
Number of books in –
Section 7 = In between 100 and 150
Section 9 = 200
Section 8 = In between 100 and 150
Section 5 = 400
But, In section 8, the number of books is near to 150 which is not the case in section 7.
Hence, Section 7 has the least number of books
50. Who won the Golden Boot Award in 2018 FIFA World Cup?
A. Harry Kane
B. Antoine Griezmann
C. Gabriel Jesus
D. Lionel Messi
Solutions
The correct answer is option 1, i.e. Harry Kane
- England’s Harry Kane finished as the leading goalscorer at the 2018 FIFA World Cup to win the Adidas Golden Boot Award.
- Harry Kane scored England’s first goal of the World Cup.
- Kane was awarded the Golden Boot for scoring six goals in the tournament.
- He became the second English player to ever win the World Cup Golden Boot, after Gary Lineker in 1986.
- The Adidas Golden Boot accolade is coveted by every top striker on the planet, but only the highest scorers at the FIFA World Cup finals are awarded it.
- Belgium’s Thibaut Courtois was awarded the Golden Glove award for being the best goalkeeper of the tournament.
- Spain were awarded the ‘Fair Play’ award.
- France won the 2018 FIFA World Cup.
51. Which answer figure will come next in the given problem figure series?

A. B
B. D
C. A
D. C
Solutions
Given:

Let us observe the pattern of 1st and 2nd figure.
In 2nd figure, the circle shifts in such a way that it intersects with both the straight line and rectangle.
Similarly,
In comparison to 3rd figure, the 4th figure will have triangle intersecting with both the straight line and rectangle.
Figure ‘C’ fulfills the above condition.
Hence, figure ‘C’ is the correct answer.
52. ______ is prevented by coating the conducting wire with pvc.
A. Fusing
B. Overloading
C. Dripping
D. Short-circuit
Solutions
The correct answer is option 4, i.e. Short-circuit
- Short-circuit is prevented by coating the conducting wire with pvc.
- PVC is an insulating substance. It does not allow electric current to pass through it.
- Polyvinyl chloride, also known as poly, commonly abbreviated PVC, is the world’s third-most widely produced synthetic plastic polymer, after polyethylene and polypropylene.
- PVC comes in two basic forms: rigid and flexible.
- PVC is an example of thermoplastics.
- Thermosetting plastic is a type of plastic that melts on heating and solidifies on cooling.
- Sometimes, the live and neutral wires come in direct contact due to defective or damaged wiring.
- When this happens, the resistance of the circuit becomes almost zero and a very large current flows through it. This is known as Short Circuit.
- A short circuit means negligible resistance connection between two conductors supplying electric current.
- Fuse is used to prevent the circuit whenever there is an unusual increase in the current.
- The fuse wire breaks due to excess heat generated due to excess current that protects home appliances from short circuiting or overloading.
53. ______ contributed to the theories of inheritance of traits in living things.
A. Gregor Mendel
B. JBS Haldane
C. Charles Darwin
D. Stanley Miller
Solutions
The correct answer is option 1 i.e. Gregor Mendel
Gregor Mendel contributed to the theories of inheritance of traits in living things.
- The most obvious outcome of the reproductive process still remains the generation of individuals of similar design.
- The rules of heredity determine the process by which traits and characteristics are reliably inherited.
- The rules for inheritance of such traits in human beings are related to the fact that both the father and the mother contribute practically equal amounts of genetic material to the child.
- This means that each trait can be influenced by both paternal and maternal DNA.
- Thus, for each trait, there will be two versions in each child.
- Gregor Mendel was the first to explain the way in which traits are passed from one generation to the next-and sometimes skip generations.
- Mandel did his experiment with pea plant breeding and he developed three principles of inheritance that described the transmission of genetic traits before anyone knew genes existed.
Additional Information
Three principles are: Laws of Dependence, Laws of Segregation and Laws of Independent Assortment.
- Afterwards, his experiment greatly expanded the understanding of genetic inheritance and led to the development of new experimental methods.
- In sexually reproducing organisms inheritance is easily experimented and described as was the case of Mendel’s experiments on the inheritance of characters.
- Since in asexual reproduction gamete formation and their fusion does not occur, the laws of inheritance here doesn’t hold good here as they are in the case of sexually reproducing organisms only.
- Gregor Mendel is also known as the “Father of Genetics”.
54. Keerthi and Malathi together can complete a task in 12 days, while Malathi can finish in 30 days. In how many days can Keerthi alone complete the task?
A. 40 days
B. 10 days
C. 20 days
D. 30 days
Solutions
Keerthi and Malathi together can complete a task in = 12 days
∴ In 1 day Keerthi and Malathi can do = 1/12
Malathi can finish the work in = 30 days
∴ In 1 day Malathi can do = 1/30
∴ In 1 day Keerthi can do = 1/12 – 1/30 = (5 – 2)/60 = 1/20
∴ Keerthi alone can complete the task in = 20 days
55. Who among the following had resigned from the post of Head Coach of Indian team in 2017?
A. Ravi Shastri
B. Anil Kumble
C. Rahul Dravid
D. Kapil Dev
Solutions
The correct answer is option 2 i.e. Anil Kumble
- Anil Kumble had resigned from the post of Head Coach of Indian team in 2017 after a successful one-year term.
- Kumble had been appointed coach in June 2016 for a one-year term by the Cricket Advisory Committee (CAC) and was instantly successful.
- Under him, India won Test series against West Indies, New Zealand, England, Bangladesh and Australia.
- India registered 12 Test wins out of 17 matches during Kumble’s tenure.
- Kumble was replaced by Ravi Shastri as India coach.
- Ravi Shastri is the current Head Coach of Indian team. (April 2020)
56. Soham is 10 years younger than Paratha. Eight years ago three times the age of Soham was 4 more than twice the age of Paratha. Find Soham’s present age.
A. 28 years
B. 30 years
C. 32 years
D. 33 years
Solutions
Let the age of Soham be ‘a’ years.
So, age of Paratha will be ‘a + 10’ years.
According to question:
3 (a – 8) = 2 [(a +10) – 8] + 4
=> 3a – 24 = 2 (a + 2) + 4
=> 3a – 24 = 2a + 4 + 4
=> 3a – 2a = 8 + 24
=> a = 32
So, Soham’s present age is 32 years.
Hence, ‘32’ is the correct answer.
57. Choose the most Suitable Venn diagram for the following words.
Garlic, Ginger, Chilly
A. 
B. 
C. 
D. 
Solutions
The most Suitable Venn diagram for the words Garlic, Ginger and Chilly is shown below:

All these words belong to three different groups and have no common relation in between them.
Hence, option 1 is the correct answer.
58. Choose the one that does NOT belong to the group.
A. Aluminium
B. Silver
C. Hydrogen
D. Gold
Solutions
All options except ‘Hydrogen’ are metals, while Hydrogen is an intermediate element it shows the properties of both metals and non-metal.
Hence, ‘Hydrogen’ is the odd one out.
59. _______ does not belong to the class Annelida.
A. Nereis
B. Earthworm
C. Leech
D. Ascaris
Solutions
The correct answer is option 4 i.e. Ascaris
- Ascaris does not belong to the class Annelida.
- Ascaris are the cylindrical shape worm that belongs to the Phylum Aschelminthes.
- Phlyum Aschelminthes comprises of Round worm that are unisexual and lack circulatory and respiratory systems.
- Annelida are bilaterally symmetrical with an organ-system level of body organisation.
- Phylum Annelida is the category of worms and includes any and every worm like earthworm, ragworm, leeches, Nereis etc.
- These worms are invertebrates and have different segments in one body.
- Kingdom Animalia is divided into sub-groups which is known as Phylum. There are 11 phyla in the kingdom Animalia.
- Phylum Arthropoda is the largest phylum in the animal kingdom.
- This phylum includes spiders, lobsters, termites, millipedes, insects, and crabs, etc.
60. An object of mass 6 kg and having a potential energy of 480 J is placed at a height. Find the height of the object w.r.t. the ground. (g = 10 m/s)
A. 6 m
B. 4 m
C. 7 m
D. 8 m
Solutions
The correct answer is option 4 i.e. 8 m
h = 8 m
Potential energy: It is the energy possessed by a body by virtue of its position.
P.E of object = mgh
Given, m = 6 kg, P.E. = 480 J, g = 10 m/s
480 J=6 kg×10 m/s × h
h=480/6 × 10 =480/60
h = 8 m
61. If the radius of curvature of a concave mirror is 6.2 cm, its focal length is ______ cm.
A. 3.1
B. 6
C. 2.6
D. 12.4
Solutions
The correct answer is option 1 i.e. 3.1
- The focal length is the distance between the centre of the lens or mirror and the focal point (where parallel rays of light meet or appear to meet) of the lens or mirror.
- The distance between the centre of the lens or mirror to the vertex which is located on the local optical axis is called the Radius of Curvature.
- The focal length is half of the radius of curvature.
- FocalLength(f)=R/2, Where R = radius of curvature
- f=6.2/2 = 3.1
- f=3.1
- Therefore, the focal length of the concave mirror is 3.1 cm.
62. A is standing facing East. B standing 750 m to the West of A. At 500 m to the right of A, there is a big pole. What is the direction of the pole with respect to B’s position?
A. North-West
B. South-East
C. South-West
D. North-East
Solutions

So, the big pole is to the South-East of B.
Hence, ‘South-East’ is the correct answer.
63. Which of the following is the ore of mercury?
A. Arsenic
B. Bauxite
C. Stibnite
D. Cinnabar
Solutions
The correct answer is option 4 i.e. Cinnabar
- Cinnabar is an ore of Mercury (Hg).
- Cinnabar is an ore of Mercury (Hg) with chemical formula HgS.
- Cinnabar is a source of brilliant red pigment, called Vermilion.
- It consists of mercury sulphide and is bright scarlet to brick red in color.
- It occurs as a vein-filling mineral in alkaline hot springs and volcanic activities.
- It resembles quartz in its symmetry.
- Mercury is the only metal which is liquid at room temperature.
- Atomic number of mercury is 80.
- Minamata disease due to mercury poisoning.
- Bauxite is the primary ore of aluminum.
- Arsenic (As) is the metalloid.
- Stibnite is an ore of Antimony with chemical formula Sb2S3.
64. Which of the option figures bears the closest resemblance to the question figure?

A. C
B. D
C. B
D. A
Solutions
The option figure that bears the closest resemblance to the question figure is shown below:

The answer figure D is like mirror image of the question. Also, it is the only figure among the answer figures that have triangles in it, similar to that of question figure.
Hence, figure D is the correct answer.
65. Who among the following hosts the Hindi version of “Bigg Boss-11”?
A. Aamir Khan
B. Salman Khan
C. Shilpa Shetty
D. Farhan Akhtar
Solutions
The correct answer is option 2 i.e. Salman Khan
- Salman Khan was the host of the Hindi version of “Bigg Boss-11” for the eighth time.
- Born on December 27, 1965 Salman Khan is the son of the legendary writer Salim Khan.
- In 2007, he launched Being Human – Salman Khan Foundation. This charitable organization aids the underprivileged in areas such as education and health-care.
- Bigg Boss 11 is the eleventh season of Indian reality TV series Bigg Boss, which aired on Colors TV.
- The grand finale of the show took place on 14 January 2018 and Shilpa Shinde was announced as the winner while Hina Khan as Runner-up.
66. Consider the given statement and decide which of the following assumption is/are implicit in the statement.
Statement: Stories are the best way to make children remember concepts in the early years of their life.
Assumptions:
I. Children like stories.
II. Stories improve children’s imagination and visualisation skills.
A. Neither I nor II is implicit.
B. Only II is Implicit.
C. Only I is Implicit.
D. Both I and II are implicit.
Solutions
(Implicit – suggested though not directly expressed)
As ‘stories are the best way to make children remember concepts’, and only when someone likes something, it can be used in a good way.
Therefore, assumption I is implicit.
According to the statement, stories are used such that children remember concepts in the early years of their life – a stage when we need to improve children’s imagination and visualisation skills.
Therefore, assumption II is implicit.
Hence, both I and II are implicit.
67. Read the given statement(s) and conclusions carefully and select which of the conclusion logically follow(s) from the statements(s).
Statement:
All cars are four-wheelers.
All four-wheelers are vehicles.
Conclusion:
I. All cars are vehicles.
II. Some vehicles are four-wheelers.
A. No conclusion follow.
B. Only conclusion 2 follows.
C. Only conclusion 1 follows.
D. All the conclusions follow.
Solutions
The least possible Venn diagram is:

I. All cars are vehicles. → True (as visible in the figure)
II. Some vehicles are four-wheelers. → True (All four-wheelers are vehicles)
So, both the conclusion follows.
Hence, all the conclusions follow.
68. The former RBI governor Raghuram Rajan authored the book _________.
A. Emergency-Indian Democracy’s Darkest Hour
B. The Unseen Indira Gandhi
C. The Ministry of Utmost Happiness
D. I Do What I Do
Solutions
The correct answer is option 4 i.e. I Do What I Do
- The former RBI governor Raghuram Rajan authored the book I Do What I Do.
- “I Do What I Do” is a collection of former RBI Governor, Raghuraman Rajan’s speeches and articles.
- Raghuram G. Rajan is the Katherine Dusak Miller Distinguished Service Professor of Finance at the Booth School of Business at the University of Chicago.
- He was Governor of the Reserve Bank of India between 2013 and 2016, and is the bestselling author of I Do What I Do and Fault Lines, and the co-author of Saving Capitalism from the Capitalists.
69. In which state is the Pagladia Dam located?
A. Nagaland
B. Meghalaya
C. West Bengal
D. Assam
Solutions
The correct answer is option 4 i.e. Assam
- Pagladia Dam is located in Assam.
- It is a multipurpose project constructed over Pagladiya River, a tributary of Brahmaputra, in Nalbari District of Assam.
- The Pagladiya River has been responsible for recurrent floods in the north bank of the Brahmaputra.
- Benefits from Pagladiya dam include flood moderation in 40,000 ha area, irrigation benefits to 54,000 ha, and incidental power generation by a plant of 3 MW capacity.
- The project cost has been estimated at Rs. 541 crore.
- Important Dam of Assam:
- Subansiri Lower Dam(Subansiri River)
- Karbi Langpi Dam(Borpani River)
● Know about Assam:
○ Capital: Dispur
○ No. of districts: 33
○ Formed on: 26 January 1950
○ Chief Minister: Sarbananda Sonowal (21 Feb 2020)
○ Governor of Assam: Jagdish Mukhi (21 Feb 2020)
○ State Animal: One-horned rhinoceros
○ State Bird: White-winged wood duck
○ State Flower: Kopou phul (Foxtail Orchid)
○ State Tree: Hollong
○ Languages: Assamese, Bodo, Bengali
| Major Rivers | Subansiri, Lohit (Tellu), Dihang/Siang, Kopili, Dhaleswari, Barak, Dhaleswari, Kameng, Brahmaputra, Kameng |
| Major Regional Festivals | Bihu, Ambubachi, Elephant festival, Brahmaputra beach festival, Majuli, Baishagu, Baikho, Me-Dum-Mi-Phi |
| World Heritage Sites | 1. Kaziranga National Park on the bank of the Brahmaputra 2. Manas Wildlife Sanctuary near the border with Bhutan |
| National Parks | 1. Dibru-Saikhowa National Park 2. Kaziranga National Park 3. Manas National Park 4. Nameri National Park 5. Rajiv Gandhi Orang National Park |
70. √0.00069169 = ?
A. 0.00243
B. 0.000243
C. 0.0263
D. 0.243
Solutions
√0.00069169
√(69169 × 108)
As we know,
√69169 = 263
√(263 × 263 × 104 × 104)
⇒ √(0.0263)2
⇒ 0.0263
71. If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P(x, y) such that AP = 3/7 AB and P lies on the line segment AB.
A. -2/7, 20/7
B. 2/7, -20/7
C. -2/7, -20/7
D. 2/7, 20/7
Solutions
Let the co-ordinate of point P be P(x, y)

it is given that
AP=37(AB)
AP=37(AP+PB)
7AP = 3AP + 3PB
7AP – 3AP = 3PB
4AP = 3PB
APPB=34
Hence the point P divides AB in the ratio of 3 : 4.

Using section formula
m1 = 3, m2 = 4
x1 = 2, x2 = 2
y1 = -2, y2 = -4

Hence, the co-ordinate of P are P(x, y) = P(2/7,−20/7)
Note: In the examination, there was a mistake in this question, we have corrected it.
72. The electronic configuration of an element belonging to period 2 and showing strong catenation property is:
A. 2, 8, 2
B. 2, 6
C. 2, 4
D. 2, 8, 4
Solutions
The correct answer is option 3 i.e. 2, 4
- Only carbon will show catenation property.
- The capability of atoms forming a long chain by bonding with each other is called catenation.
- It is the linkage of atoms of the same element to form long chains.
- The catenation process predominantly in carbon and it forms covalent bonds with other carbon atoms to form larger chains and structures.
- Carbon shows allotropy due to catenation, which is linking atoms of the same element with one another to form long chains.
- There are various allotropes of carbon that exist in nature including diamond, graphene, fullerenes, C60, C70, amorphous carbon, Q carbon, lonsdaleite, and carbon nanotubes.
- The property of an element that exists in more than one physical form is called allotropy and the forms are termed as allotropes.
- The electronic configuration of carbon= (2, 4). Therefore, the Valency of carbon is 4.
- A carbon atom has four electrons in its outermost valence shell.
- So, it needs four more electrons to complete the octet configuration.
73. The gravitational force of attraction between a satellite and the earth gives rise to ______.
A. tension
B. planar force
C. centripetal force
D. centrifugal force
Solutions
The correct answer is option 3 i.e. centripetal force
- The gravitational force of attraction between a satellite and the earth gives rise to centripetal force.
- Earth satellites are objects which revolve around the earth.
- Their motion is very similar to the motion of planets around the Sun and hence Kepler’s laws of planetary motion are equally applicable to them.
- In particular, their orbits around the earth are circular or elliptic.
- The artificial satellites orbiting the Earth remain in their orbits and do not fall down due to the attraction of the Earth (gravity) which provides the necessary centripetal acceleration.
- We will consider a satellite in a circular orbit of a distance (R + h) from the centre of the earth, where R = radius of the earth.
- If m is the mass of the satellite and V its speed, the centripetal force required for this orbit is:
, directed towards the centre.- This centripetal force is provided by the gravitational force, which is:
-
, where M is the mass of the earth. - Centripetal force:
- A force that acts on a body moving in a circular path and is directed towards the centre around which the body is moving.
- This force is applied to the object from outside and for this reason, the centripetal force is an external force.
- It always acts towards the centre(so we do not assume that it is an internal force) but it is an external force.
74. Read the given question and decide which of the following statements is/are sufficient to answer the question.
What is the age of Sriram?
Statements:
1. Sriram is 32 years elder to Shyam.
2. Shyam is 2 years old now.
A. Either 1 or 2 is sufficient.
B. Only 2 is sufficient
C. Only 1 is sufficient
D. Both 1 and 2 are sufficient
Solutions
1. Sriram is 32 years elder to Shyam.
We do not get age of Sriram from this.
2. Shyam is two years old now.
We do not get age of Sriram from this.
Combining 1 and 2 we get,
Sriram’s age = 2 + 32 = 34 years
∴ Both 1 and 2 are sufficient
75. In which of the following activities is work said to be done?
A. Khushi is pushing a wall of a house but fails to do so
B. Harsh is reading a book
C. Pinki is walking on a levelled road with a book on her head
D. Shruti is sitting on a chair
Solutions
The correct answer is Pinki is walking on a leveled road with a book on her head
- Work:
- Work done on an object is defined as the magnitude of the force multiplied by the distance moved by the object in the direction of the applied force.
- The unit of work is the joule (1 Joule = 1 Newton-meter).
- Work done on an object by a force would be zero if the displacement of the object is zero.
- It is the dot product of force and displacement.
- It is a Scalar quantity.
- W = F.s cosθ.
- Distance:
- The length of the actual path covered by a moving object in a given time.
- It is a scalar quantity.
- It is always positive.
- The unit of distance is a meter (m).
- Displacement:
- It is the shortest distance covered by a body in a definite direction.
- It is a vector quantity.
- It can be positive, Negative, or Zero.
- The unit of displacement is a meter(m).
- In this question, we can see that work done would be zero in all the above options except option 3.
- In this case, when Pinki is carrying a book on his head, the gravitational force acts on his head and presses his head to make some displacement.
76. Vella is a farmer he owns few acres of land. Last month he had a good harvest which gave him a 90% profit (which was around Rs. 90,000) on his initial investment. Approximately how much money he needs to invest each season?
A. Rs. 1,00,000
B. Rs. 3,00,000
C. Rs. 1,50,000
D. Rs. 6,00,000
Solutions
Let, his investment each season = Rs. 100x
According to the question,
⇒ 100x × 90/100 = 90000
⇒ 90x = 90000
⇒ x = 1000
∴ His investment each season = Rs. 100 × 1000 = Rs. 100000
77. What is the next term in this series:
12A6Z, 24C4X, 36E2V, _____,
A. 48F0T
B. 48G0T
C. 48F9T
D. 48F9S
Solutions
The logic is:


- Hence, ‘48G0T’ is the correct answer.
78. Who among the following has been named the “British Indian of the year”?
A. Ishwar Gupta
B. Ishwar Kumar
C. Ishwar Sharma
D. Ishwar Verma
Solutions
The correct answer is option 3 i.e. Ishwar Sharma
- An eight-year-old Indian-origin schoolboy who is the under-11 UK national yoga champion has been named the ‘British Indian of the Year’ for his achievements in the field.
- Ishwar Sharma has won a string of titles in both individual and artistic yoga, most recently a gold medal representing Great Britain at the World Student Games 2018 in Winnipeg, Canada, in June 2018.
- He was named British Indian of the Year in the Young Achiever category at the sixth annual awards ceremony held in Birmingham.
- The family is originally from Mysore, home to world-renowned yoga gurus, and travels to the region annually.
79. Who launched India’s largest ‘train the trainers’ programme recently?
A. Sachin Tendulkar
B. Pullela Gopichand
C. Prakash Padukone
D. Kapil Dev
Solutions
The correct answer is option 2 i.e. Pullela Gopichand
- Former All-England champion and celebrated badminton coach Pullela Gopichand initiated the country’s largest ‘train the trainers’ programme, inducting 1500 Physical Education (PE) teachers from across Gujarat for advanced training.
- The programme aimed to develop the skills of PE teachers so that they can impart the right techniques to children aspiring to make it big at sports.
- This was the largest skill development programme at the grassroots level.
- It will impact over 45,000 children every year and change the Physical Literacy and Sports knowledge in schools in Gujarat.
- Pullela Gopichand, (born November 16, 1973, Nagandla, India), Indian badminton player who in 2001 became the second Indian to win the prestigious All England men’s singles badminton championship.
- In 2008 he opened a badminton academy in Hyderabad.
80. The wickets taken by a bowler in 12 cricket matches are as follows:
2, 6, 4, 3, 5, 0, 3, 2, 1, 3, 2, 3
Find the mode of the data.
A. 4
B. 1
C. 3
D. 2
Solutions
In the sequence 2, 6, 4, 3, 5, 0, 3, 2, 1, 3, 2, 3:
0 occurs 1 time
1 occurs 1 time
2 occurs 3 times
3 occurs 4 times
4 occur 1 time
5 occur 1 time
6 occurs 1 time
∴ Mode of the data = 3 [∵ occurrence of 3 is highest]
81. The given pie chart shows information about the mobile phone manufacturing companies in India. The total number mobile phone units manufactured is 12,40,000.

Which company produces the least number of mobile phones?
A. ABC
B. PQR
C. DEF
D. XYZ
Solutions
Company DEF produces the least number of mobile phones.
Number of mobile phones produced by DEF = 1240000 × 5/100 = 62000
82. We can control the urge to urinate as____.
A. the muscular bladder is under nervous control
B. bladder does not fill up easily
C. sphincter muscle is present between bladder and urethra
D. bladder is filled with less water
Solutions
The correct answer is option 1 i.e. the muscular bladder is under nervous control
- We can control the urge to urinate as the muscular bladder is under nervous control.
- Urine formed by the nephrons is ultimately carried to the urinary bladder where it is stored till a voluntary signal is given by the central nervous system (CNS).
- This signal is initiated by the stretching of the urinary bladder as it gets filled with urine. In response, the stretch receptors on the walls of the bladder send signals to the CNS.
- The CNS passes on motor messages to initiate the contraction of smooth muscles of the bladder and simultaneous relaxation of the urethral sphincter causing the release of urine.
- The process of release of urine is called micturition and the neural mechanisms causing it is called the micturition reflex.
- An adult human excretes, on an average, 1 to 1.5 litres of urine per day.
- The urine formed is a light yellow coloured watery fluid which is slightly acidic (pH-6.0) and has a characteristic odour.
- On an average, 25-30 gm of urea is excreted out per day.
83. In which Indian state has The Union Government sanctioned RS. 98.35 Cr for the development of a Heritage Circuit?
A. Shimla
B. Nagaland
C. Tripura
D. Assam
Solutions
The correct answer is option 4 i.e. Assam
- Union Ministry of Tourism has sanctioned Rs 98.35 crore for a Heritage Circuit in Assam under the Swadesh Darshan scheme.
- This amount has been sanctioned for development of the Tezpur, Majuli and Sivasagar circuit under the Swadesh Darshan scheme.
- The first instalment of Rs 19.67 crore against the sanctioned amount was released by the Centre on March 31, 2017.
- The scheme also includes development of a composite tourist infrastructure in Majuli comprising a centre near Kamalabari ghat, log huts, watch towers, cafeteria, elevated walkway, solar illumination, landscaping, etc.
84. Which organization has been honoured with the NABARD 2018 award?
A. Repco Micro Finance
B. HDFC Mutual Fund
C. ICICI Prudential
D. Shriram Mutual Funds
Solutions
The correct answer is option 1 i.e. Repco Micro Finance
- Repco Micro Finance Ltd, a non-banking finance company promoted by Repco Bank, received Nabard 2018 award for its service to self-help group (SHG) linkage in Tamil Nadu for the fiscal year 2017-18.
- Since its inception, the NBFC has disbursed loans amounting to ₹2,500 crore to over 10 lakh beneficiaries through 50,000 SHGs.
- Headquarters: Chennai
- Managing Director: Mrs. R.S. Isabella
85. Find the next letter-pair in the following series.
DO, EP, FQ, GR, ?
A. HS
B. ST
C. HV
D. SH
Solutions
The logic is:


Hence, ‘HS’ is the correct answer.
86. What is the initiative of FSSAI that will enable collection and conversion of used cooking oil to biodiesel?
A. RENO
B. RUCO
C. RUSA
D. RAMA
Solutions
The correct answer is option 2 i.e. RUCO.
Key Points
- The country’s apex food regulator, the Food Safety and Standards Authority of India (FSSAI) in association with the Biodiesel Association of India (BDAI) has launched the ‘RUCO’ project, short for repurpose used cooking oil.
- RUCO is a project that plans to convert vegetable oils, animal fats or restaurant grease that has already been used in cooking into biodiesel for running diesel vehicles, or indeed any equipment that uses diesel.
- Recycling is increasingly being carried out to produce vegetable oil-based fuel in countries such as the UK and the US. India, too, is keen to join this club.
87. The millions period consist of the places ________.
A. M, TM, HM
B. O,T, M
C. M,TH
D. TTh, HTh, M
Solutions
The Correct Answer is Option 1 i.e M, TM, HM.
- Million Period consists of places: Million, Hundred Millions, Thousand Millions.
- The ones period consists of the digits in the hundreds, tens, and ones places.
| Billions | Millions | Thousands | Ones | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones | Hundreds | Tens | Ones |
| 1011 | 1010 | 109 | 108 | 107 | 106 | 105 | 104 | 103 | 102 | 101 | 100 |
| 9 | 8 | 6 | 5 | 2 | 6 | 0 | 4 | 1 | 3 | 7 | 5 |
88. Sarang is facing West. He turns 1350 clockwise and then 450 anticlockwise. In which direction he is facing how?
A. West
B. South
C. North
D. East
Solutions
Sarang is facing West.
He turns 1350 clockwise and then 450 anticlockwise.
As he moves 1350 clockwise and then 450 anticlockwise, net angular movement done by him = (1350 – 450) = 900 clockwise.
So, 900 clockwise movement from west direction is shown below:

So, now he is facing north.
Hence, Sarang is facing North.
89. An electric bulb having voltage 240 V and current 0.6 A has a power of _____.
A. 14.4 W
B. 40 W
C. 144 W
D. 400 W
Solutions
The correct answer is option 3 i.e. 144 W
- Power (P):
- The rate of doing work is called power and it is also known as the rate of consumption of energy.
- The SI unit of power is “watt”.
- 1 Watt = 1 Joule/second.
Electric Power: The rate at which electrical energy is dissipated into other forms of energy is called electrical power i.e.,
- P=Wt=VI=I2R=V2RWhere V = Potential difference, R = Resistance and I = current.
- Electric Current(I):
- It is defined as the net amount of electric charge(q) flowing through a cross-section of a conductor in an electric circuit in a per unit time(t).
- S.I unit of electric current is Ampere(A).
- Voltage:
- An electromotive force or potential difference expressed in volts.
- Its unit is Volt, denoted as “V”.
Calculation:
Given – Potential difference (V) = 240 V and current (I) = 0.6 A
- Electric power can be written as,
⇒ P = V I
⇒ P = 240 × 0.6 = 144 W
90. Which of the following Venn diagrams correctly represents the relationship between:
a) Mobile
b) Laptop
c) Electronics
A. 
B. 
C. 
D. 
Solutions
The Venn diagrams that correctly represents the relationship between:
A) Mobile
B) Laptop
C) Electronics
Is shown below:

All mobile and laptop are electronic devices.
Hence, option 1 is the correct answer.
91. Sita bought a certain number of pens at 8 for Rs. 7 and sold them 6 for Rs. 5. The gain or loss percentage is:
A.
loss
B. No profit no loss
C.
loss
D.
profit
Solutions
Concept used:
Loss percentage = (CP – SP)/CP × 100
Calculation:
Cost price of 8 pens = Rs. 7
∴ Cost price of 1 pen = Rs. 7/8
Selling price of 6 pens = Rs. 5
∴ Selling price of 1 pen = Rs. 5/6
CP – SP = 7/8 – 5/6 = 1/24
Loss percentage = (CP – SP)/CP × 100 = (1/24)/(7/8) × 100
Loss percentage = 100/21%
∴ The loss percentage is 100/21%.
92. Clouds looking white in colour are due to the phenomenon of _____.
A. Reflection of light
B. Scattering of light
C. Refraction of light
D. Radiation
Solutions
The correct answer is option 2 i.e. Scattering of light
- Clouds are white because light from the Sun is white.
- As light passes through a cloud, it interacts with the water droplets, which are much bigger than the atmospheric particles that exist in the sky.
- When sunlight reaches an atmospheric particle in the sky, blue light is scattered away more strongly than other colours, giving the impression that the sky is blue.
- But in a cloud, sunlight is scattered by much larger water droplets.
- These scatter all colours almost equally meaning that the sunlight continues to remain white and so make the clouds appear white against the background of the blue sky.
- Light entering the Earth’s atmosphere gets scattered by coming in contact with atmospheric particles.
- This phenomenon is called the scattering of light.
93. An inlet pipe and an outlet pipe are taking to fill and drain a cistern, respectively, for an hour each at a time, starting with the inlet pipe when the cistern is empty. It takes the inlet pipe 15 hours to fully fill the empty cistern, whereas the outlet pipe can drain the filled cistern completely in 21 hours. How many hours will it take for the cistern to be full?
A. 105
B. 52.5
C. 100
D. 99
Solutions
Inlet pipe can fill a cistern in = 15 hours
∴ In 1 hour the inlet pipe can fill = 1/15
Outlet pipe can empty a cistern in = 21 hours
∴ In 1 hour the outlet pipe can empty = 1/21
In 1st our cistern is filled = 1/159
In the next every 2 hours cistern is filled = (1/15 – 1/21) = 2/105
Let, the cistern will be filled in next 2x hours
According to the question,
⇒ 1/15 + 2x/105 = 1
⇒ 2x/105 = 1 – 1/15
⇒ 2x = 14/15 × 105
⇒ 2x = 98
∴ It will take (1 + 98) = 99 hours to fill the cistern
ALTERNATE METHOD
LCM of 15 and 21 is 105
⇒ The capacity of the cistern is 105
In 1 hour Inlet can fill 105/15 = 7 unit
In 1 hour outlet can empty 105/21 = 5 unit
As, both pipes are open in an alternate hour, in 2 hour cistern will fill by (7 – 5) = 2 unit
After filling the cistern, the outlet will not count
In the last one hour inlet will fill 7 unit
Remaining (105 – 7) = 98 units
To fill 98 units required time = 2 × (98/2) hours [∵ In 2 hours fill 2 unit]
⇒ 98 hours
Total required time = (98 + 1) = 99 hours
∴ It will take 99 hours to make the cistern full.
94. Which assumptions are implied from the below statement?
“Trees can communicate and share nutrients with other trees in a forest” says a scientist.
Assumptions:
I. Plants share extra nutrients with other plants.
II. Underneath the earth everything is connected.
A. Only I is implicit.
B. Only II is implicit.
C. Neither I nor II is implicit.
D. Both I and II are implicit.
Solutions
(Implicit – suggested though not directly expressed)
Trees are a type of plant. Therefore, it is safe to assume that plants share extra nutrients with other plants.
Thus, assumption I is implicit.
From the statement, we get ideas related to plants only and nothing else.
Therefore, assumption II is not implicit.
Hence, only I is implicit.
95. What is the greatest four-digit number that is exactly divisible by 49?
A. 9994
B. 9992
C. 9996
D. 9998
Solutions
Given:
greatest four-digit number that is exactly divisible by 49
Concept:
Greatest 4 – digit number = 9999
Divide the greatest number by the divisor and on subtracting the remainder from the number will give the required number.
Calculation:

∴ Greatest four-digit number divisible by 49 = 10000 – 4 = 9996
96. Bifocal lenses are used by people suffering from ____.
A. Hypermetropia but not Myopia
B. Myopia or Hypermetropia
C. Myopia but not Hypermetropia
D. Myopia and Hypermetropia
Solutions
The correct answer is Myopia and Hypermetropia
- The bifocal lens can be used for the correction of Presbyopia (a person suffering from both myopia and hypermetropia).
- In bifocal lenses, the upper portion contains the concave lens, while the lower part contains the convex lens.
- The upper part is a concave lens and corrects near-sightedness while the lower part is a convex lens which corrects the farsightedness.
| Defects of Vision | Details | Corrections |
| Myopia or Near-sightedness | The eye can see nearby objects clearly but the distant objects appear indistinct. | Concave Lens |
| Hypermetropia or Farsightedness | Human eye can see Distant objects clearly but cannot see nearby Objects distinctly. | Convex Lens |
| Presbyopia | People suffer from near-sightedness as well as farsightedness. | bifocal lenses |
97. In which year Goa was captured by Portuguese?
A. 1515
B. 1516
C. 1510
D. 1512
Solutions
The correct answer is option 3 i.e. 1510
- In 1509, Afonso de Albuquerque became the governor of Portuguese.
- He was the actual founder of Portuguese.
- In 1510, he attacked Adil Shah of Bijapur and he captured Goa.
- In 1515, Albuquerque died in India.
- After this victory over the Muslims, the Hindu rulers accepted the Portuguese presence in India.
- Albuquerque planned to use Goa as a naval base against the Muslims, to divert the spice trade to it, and to use it to supply Persian horses to the Hindu princes.
- In 1498, Vasco da Gama was the first Portuguese to penetrate into India.
- He was welcomed by the Zamorin of Calicut.
- Portuguese established their first factory in Cochin (now called Kochi) in Kerala.
- Francisco de Almeida was the first Viceroy of the Portuguese state and its headquarter was Cochin.
- The ‘Instrument of Surrender’ which ended the Portuguese rule in India was signed on 19th December 1961.
- This ended 450 years of Portuguese in India.
- The movement to end the Portuguese rule was called the Goa Liberation Movement.
98. Find the odd one out.

A. B
B. C
C. D
D. A
Solutions
The logic is:
All options except ‘T’ are made of a minimum of four straight lines, while ‘T’ is made of a minimum of two straight lines.
Hence, figure D is the odd one out.
ALTERNATE METHOD
The place value of all the given letters is odd except T, the place value of T is even.
M = 13, W = 23, E = 05, T = 20
99. Joy points out to a picture and says. “This is my mother’s sister’s husband” How is the person in the picture related to Joy?
A. Brother
B. Paternal Uncle
C. Maternal Uncle
D. Son
Solutions
The family tree diagram is shown below:


The person in the picture is the maternal uncle of Joy.
100. Who among the following has been honoured with the Global Diversity Award 2017 by the British Parliament House?
A. Aamir Khan
B. Ranbir Kapoor
C. Akshay Kumar
D. Salman Khan
Solutions
The correct answer is option 4 i.e. Salman Khan
- Bollywood superstar Salman Khan has been honoured with the Global Diversity Award 2017 in the British Parliament House.
- The actor was honoured for his contribution to the Indian film industry as an actor, producer, television personality, singer and philanthropist.
- Besides his Indian cinema success, Salman is a well- known philanthropist and his NGO Being Human has done life changing work supporting the underprivileged in India.
- Previous recipients of the award include Bollywood megastar Amitabh Bachchan, actor Aishwarya Rai, Chinese action icon Jackie Chan, Bangladesh Prime Minister Sheikh Hasina, American Civil Rights leader Jesse Jackson and Formula One driver Lewis Hamilton.
