1. Select the option that gives the number missing from the following figure.
A. 1
B. 2
C. 3
D. 4
Solutions
5 → opposite end = 25 → square of 5
8 → opposite end = 64 → square of 8
2 → opposite end = 4 → square of 2
So,
1 → opposite end = square of 1 →
1Thus the missing number is 1.
2. Solve the following
45 – [30 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]
A. 25
B. 34
C. 24
D. 21
Solutions
45 – [30 – {60 ÷ 3 – (6 – 9 ÷ 3) ÷ 3}]
According to BODMAS Rule,
⇒ 45 – [30 – {60 ÷ 3 – (6 – 3) ÷ 3}]
⇒ 45 – [30 – {60 ÷ 3 – 3 ÷ 3}]
⇒ 45 – [30 – {20 – 1}]
⇒ 45 – [30 – 19}]
⇒ 45 – 11 = 34
3. If the edge of a cube is increased by 2 cm, the volume will increase by 488 cm3. What then will be the length of each edge of the cube?
A. 8 cm
B. 6 cm
C. 9 cm
D. 7 cm
Solutions
Let the length of the cube be x cm
⇒ The length after 2 cm increase = x + 2 m
⇒ Initial volume = x3
⇒ Volume after increasing side = (x + 2)3
⇒ (x + 2)3 – x3 = 488
⇒ x3 + 6x2 + 12x + 8 – x3 = 488
⇒ 6x2 + 12x – 480 = 0
⇒ x2 + 2x – 80 = 0
⇒ (x – 8) (x + 10) = 0
⇒ x = 8, -10
⇒ x = 8 cm
4. Choose the correct mirror image of the following figure if the mirror is held at AB line.
A. B
B. A
C. C
D. D
Solutions
The mirror image of the given image is the image at figure D.
5. One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take the cistern to be full?
A. 6 hours 40 minutes
B. 5 hours 30 minutes
C. 4 hours 20 minutes
D. 3 hours 20 minutes
Solutions
Suppose pipe A takes 4 hours to fill the cistern and pipe B takes 10 hours to empty the cistern,
⇒ Total capacity of the cistern = 40
⇒ Water filled in 1 hour = 10 – 4= 6 litre
Since cistern is half empty,
⇒ Capacity = 20 litre
∴ Time taken = 20/6 = 3 hrs 20 mins
6. Complete the following sentence with the most appropriate option.
A king will always have a ______
A. Minister
B. Kingdom
C. Sword
D. Queen
Solutions
A king can Rule Without Minister, Sword or Queen.
But,
A king will not be a king if he does not have a kingdom.
Hence, the Kingdom is the correct answer.
7. Direction: The Bar graph given below shows the registration of bikes and total vehicles (in thousands) for six months in 2017 in city X.
Note: In the chart, the first bar number represents the bike and the number of the second bar represents the total number of vehicles.
The increase in registration of bikes form May to June 2017 is:
A. 70%
B. 69%
C. 60%
D. 64.70%
Solutions
Registration of bikes in May = 17000
Registration of bikes in June = 28000
⇒ Increase in registration = 11000
∴ Required % = 11000/17000 × 100 = 64.70%
8. Sound CANNOT travel through:
A. Liquid
B. Solid
C. Air
D. Vacuum
Solutions
Sound generation and propagation needs a medium like solid, liquid or gas. Sound cannot travel through vacuum.
The limits of hearing of the human ear are 20 Hz to 20,000 Hz.
The Italian physicists Borelli and Viviani in the 1660s first calculated the speed of sound.
9. The Fugitive Economic Offenders Bill 2017 was passed by which ministry?
A. Labour Ministry
B. Commerce Ministry
C. Law Ministry
D. Finance Ministry
Solutions
| Bill | The Fugitive Economic Offenders Bill 2017 |
| Ministry Involved | Ministry of Finance |
| Objective | To prevent economic offenders who leave the country to avoid due process. Offences involving amounts of ₹100 crore or more fall under the purview of this law. |
| Economic offences coveredunder | Prevention of Corruption Act, SEBI Act, Customs Act, Companies Act, IPC and Insolvency and Bankruptcy Code |
10. Which of the following is NOT the combined form of Carbon?
A. Chalk
B. Marble
C. Diamond
D. Dolomite
Solutions
- The element carbon is available abundantly in nature and occurs in free as well as in the combined state.
- Carbon in Free State is found as diamond and graphite.
- In the Combined State, it is found in the following compounds:
| In the form of Carbonates | Calcium Carbonate, Marble, Calamine(ZnCO3) |
| Fossil Fuel | Coal, Petroleum, Natural Gas |
| Carbonaceous Nutrients | Carbohydrates, Proteins, Fats |
| Natural Fibres | Cotton, Wool, Silk |
11. If 192 pens cost is Rs. 10, how many pens can be bought for Rs. 5?
A. 48
B. 96
C. 56
D. 72
Solutions
Since 192 pens we get for Rs. 10.
⇒ In Rs. 1 we get = 192/10 pens
∴ In Rs. 5 we get = 192/10 × 5= 96 pens
12. Which of the following is a rational number?
A. ∛2
B. ∛8
C. ∛4
D. ∛12
Solutions
A rational number is a number that is expressed in the form p/q, where p and q are integers and q is not equal to zero. It is either terminating or repeating.
1/2 = 0.5 —-Terminating
1/3 = 0.333 —-Repeating
Among the given options only 8 is a perfect cube,
∴ ∛8 is a rational number.
Additional Information:
Irrational Number: A number that can not be expressed in the form of p/q where p and q is an integer and not equal to zero. It is non terminating and non-repeating.
∛2 = 1.2599210 —-It is a non-terminating, non- repeating decimal.
∛4 = 1.587401 —-It is a non-terminating, non- repeating decimal.
∛12 = 2.28942848 —-It is a non-terminating, non- repeating decimal.
Non-Repeating Decimal: It does not follow any pattern.
13. Who stated the following law: ‘The properties of the elements are a periodic function of their atomic masses’?
A. Newlands
B. Moseley
C. Mendeleev
D. Doberiner
Solutions
| Scientist | Methods Of Classification Element |
| Mendeleev’s periodic law | Properties of elements are a periodic function of their atomic masses |
| Dobereiner’s Triads | Doberiner made groups of three elements each having similar chemical properties and called them triads. |
| Newland’s Law of Octaves | After arranging the elements in increasing order of their atomic masses Newlands found that every eighth element had properties similar to those of the first. He termed it as the Law of Octaves |
| Henry Moseley | Properties of elements are a periodic function of their atomic numbers. |
14. If the first and third members of a Doberiner triad are Phosphorus and Antimony, the second member of this triad is:
A. Iodine
B. Sulphur
C. Calcium
D. Arsenic
Solutions
- Doberiner made groups of three elements each having similar chemical properties and called them triads.
- Doberiner arranged the 3 elements in a triad in an increasing order of atomic mass and showed that the atomic mass of the middle element was equal to the mean of the atomic masses of the two elements.
| Triad | Element – 1 | Element – 2 | Element – 3 |
| Actual atomic mass(a) | Mean = (a + c)/2 | Actual atomic mass (c) | |
| Li, Na, K | Lithium (Li) | Sodium (Na) | Potassium (K) |
| 6.9 | (6.9 + 39.1)/2= 23.0 | 39.1 | |
| P, As, Sb | Phosphorus(P) | Arsenic (As) | Antimony (Sb) |
| 30.9 | (30.9+121.7)/2= 76.9 | 121.7 |
15. Select the term missing from the given series.
PG, QH, RI, ?
A. SJ
B. TL
C. TS
D. KJ
Solutions
The logic here is as follows,
P + 1 = Q, Q + 1 = R, R + 1 = S
G + 1 = H, H + 1 = I, I + 1 = J
Thus, the next term in the series is SJ.
16. The product of two numbers is 40. One of them is 2.50. What is the other number?
A. 15
B. 12
C. 14
D. 16
Solutions
Let the other number be ‘x’.
⇒ 2.5 × x = 40
∴ x = 16
17. To hear a distinct echo the time interval between the original sound and the reflected sound must be at least ________.
A. 1 second
B. 0.1 second
C. 0.2 second
D. 2 second
Solutions
Echo: It is the repetition of the original sound because of reflection by some surface.
Our brain retains a sound for 0.1 s. Thus, for us to be able to hear a distinct echo, the sound should take more than 0.1 s after starting from the source to get reflected and come back to us.
18. Who won a gold medal in the World Weightlifting Championship at Anaheim, USA, in 2017?
A. Kunjarani Devi
B. Vandana Gupta
C. Karnam Malleswari
D. Mirabai Chanu
Solutions
| Event | World Weightlifting Championship 2017 |
| Winner | Mirabai Chanu (Gold) |
| Weight group | 48 kg |
| About Mirabai Chanu | 1. Recommended for the country’s highest sporting honour—the Rajiv Gandhi Khel Ratna award in year 2018. 2. She won a gold medal at the 21st Commonwealth Games. |
| About Weightlifting Championship | India’s last World Championships winner was Karnam Malleswari in the year 1995. |
19. Name of the professional Indian basketball player who became the first ever player to be drafted from India into the National Basketball Association (NBA).
A. Akilan Pari
B. Yadwinder Singh
C. Satnam Singh Bhamara
D. Ajmer Singh
Solutions
| Satnam Singh Bhamara | First ever player to be drafted from India into the National Basketball Association (NBA) |
| Picked by | Dallas Mavericks, American professional basketball team |
| About the Basketball | It can be played indoor or outdoor. Usually, the team consists of 5 members per side. |
20. Consider the argument and decide which of the given assumptions is/are implicit.
Argument:
A flyover has been constructed at a whopping cost of Rs. 200 cores, yet people are not utilising it much.
Assumption:
1. Construction of the flyover is useless.
2. The time, money and energy spend on the construction of the flyover was wasted.
A. Both 1 and 2 are implicit
B. Only assumption 1 is implicit
C. Only assumption 2 is implicit
D. Neither 1 nor 2 implicit
Solutions
We can’t say that construction of the flyover is useless because some people are using it as stated in argument, though not much.
The second assumption doesn’t support the argument because there is no evidence that the people will not use the flyover even in the future. So, none of the assumptions support the argument.
21. The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is:
A. 69
B. 9
C. 96
D. 73
Solutions
First of all, we will find the nearest square of 2800,
⇒ 502 = 2500
⇒ 512 = 2601
⇒ 522 = 2704
⇒ 532 = 2809
Here it is clear that, the value which has to subtracted form 2800 is 2800 – 96 = 2704
22. If the 8 digit number 136p5785 is divisible by 15, then find the least possible value of P.
A. 1
B. 3
C. 4
D. 2
Solutions
Here we will use concept of divisibility
Factors of 15 = (3 × 5) and the divisibility rule of 15 says that sum of digits be divided by 3 and the last number will be 5.
The given number is = 136p5785, here the last digit is 5, so we will check divisibility of 3.
⇒ 1 + 3 + 6 + p + 5 + 7 + 8 + 5 = 35 + p
The closed multiple of 3 is 36
⇒ 36 = 35 + p
∴ p = 36 – 35= 1
23. India-born Leo Vardkar became the Prime Minister of which of the following countries?
A. Scotland
B. Sri Lanka
C. South Africa
D. Ireland
Solutions
India-born Leo Vardkar became Ireland’s youngest-ever and first homosexual Prime Minister.
He is a member and leader of the Fine Gael party.
Taoiseach: It is the title used for the prime ministerial office in Ireland.
24. Consider the argument and decide which of the given assumptions is/are implicit.
Argument:
If you’re a classical dancer, we have an exciting job for you.
Assumptions:
1. We need a classical dancer.
2. You are a classical dancer.
A. Only assumption 1 is implicit
B. Both 1 and 2 are implicit
C. Only assumption 2 is implicit
D. Neither 1 nor 2 is implicit
Solutions
In the argument, there is a job for you if you are a classical dancer. If you are not, then there is no job because the job is only for a classical dancer.
In assumption 1 there is a need for a classical dancer. So, this assumption supports the argument.
In assumption 2 we are not sure that the person is a classical dancer or not. So this assumption doesn’t support the argument.
Hence only assumption 1 is implicit.
25. There are red(A), yellow(B) and green(C) tokens in a bag. A : B ∷ 3 : 8, B : C ∷ 6 : 13, Find the value of A : B : C.
A. 3 : 48 : 13
B. 3 : 8 : 13
C. 9 : 24 : 52
D. 3 : 6 : 13
Solutions
⇒ A : B : C = 9 : 24 : 52
26. Who wrote the Indian historical fiction novel ‘The Rise of Sivagami’ published in March 2017?
A. Anand Neelakantan
B. Arundhati Roy
C. Amish Tripathi
D. Devdutt Pattanaik
Solutions
The Indian historical fiction novel ‘The Rise of Sivagami’ is written by Anand Neelakantan.
| Writer | Famous books |
| Anand Neelakantan | 1. Vanara: The Legend of Baali 2. Sugreeva and Tara 3. Rise of Kali: Duryodhana’s Mahabharata |
| Arundhati Roy | 1. The God of Small Things 2. The Ministry of Utmost Happiness |
| Amish Tripathi | 1. The Immortals of Meluha 2. The Secret of the Nagas |
| Devdutt Pattanaik | 1. Jaya: An Illustrated Retelling of the Mahabharata 2. My Gita |
27. The pH of a solution, whose hydrogen ion concentration is 1 × 10-5 mole per litre, will be ________.
A. 6
B. 5
C. 4
D. 7
Solutions
- The pH value of a solution is equal to the logarithm of the inverse of hydrogen ion (H+) concentration.
- The p in pH stands for potenz in German which means power.
pH = -log [H+]
pH = -log[10-5]
pH = 5log [10]
Hence, the pH of the solution is 5.
28. Which of the following is not a voluntary action?
A. Moving a chair
B. Beating of heart
C. Closing of fist
D. Taking an object
Solutions
| Type of Action | Information |
| Voluntary action | Actions on which our brain has full control are called as voluntary actions. Example: jumping, Moving a chair and Taking an object |
| Involuntary action | Actions on which our brain has no control at all are called as involuntary actions. Example: Beating of heart, Breathing, Digestion, etc. |
29. Consider the statement to be true and decide which of the following assumption is/are implicit.
Statement:
This year, in the budget session, there was no fund allotment for travel insurance.
Assumptions:
1. Travel insurance requires funds.
2. There are many other areas that need more financial attention.
A. Only assumption 2 is implicit
B. Either assumption 1 or 2 is implicit
C. Only assumption 1 is implicit
D. Both assumption 1 and 2 are implicit
Solutions
Travel insurance requires fund as it involves inflow of money to provide travel insurance.
In the statement, a word “this” is used that means there was allotment for travel insurance in the previous year, but this year some other areas need more financial attention than travel insurance. So, there is no fund for travel insurance.
Hence, both assumptions support the statement.
30. Select the option that will correctly fit in the blank space in the given figure.
A. 
B. 
C. 
D. 
Solutions
If we look closely, then we will see that the diagram is following a pattern. In the first row, there are 4 bricks and in the second row, there are 3 bricks. And in the last row, there are 3 bricks.
Bricks that are in between should follow the same pattern. So third row should contain 4 bricks, the 4th row should contain 3 bricks and 5th row should contain 4 bricks.
31. Select the correct figure that replace the question mark.
A. A
B. C
C. B
D. D
Solutions
The pattern followed here is that,
The second image in a row is the combination of the first and the third images in that same row.
Thus, figure D will be present at the missing place.
32. Mechanical energy is the sum of ________.
A. Potential energy + heat energy
B. Kinetic energy + heat energy
C. Kinetic energy + potential energy
D. Chemical energy + electrical energy
Solutions
- Mechanical energy= Kinetic energy + Potential energy
- Kinetic energy: The energy which an object has because of its motion.
K. E. = (½) mv2
- Potential energy: The energy stored in an object because of its specific state or position.
P.E. = mgh
33. The capacity to do work is called:
A. Power
B. Pressure
C. Energy
D. Force
Solutions
The capacity to perform work is called energy.
Work and energy has the same unit. The unit in SI system is Joule while that in CGS system is Erg.
Additional Information
- Power is defined as the rate of doing work.
- It is a scalar quantity that has only magnitude but no direction.
- The SI unit of power is Watt.
- There is another unit of power i.e. horsepower.
- 1 h.p. = 746 Watts or 0.75 kW.
- When work is done, an equal amount of energy is consumed.
- 1 Watt is the power of an appliance that consumes energy at the rate of 1 Joule per second.
- 1 Watt = 1 Joule per second
34. Select the figure that does NOT belong in the following group.
A. B
B. D
C. C
D. A
Solutions
In all the given images except image at option 3, X sign and O sign are diagonally opposite to another X sign and O sign respectively. But in image at option 3 X sign and O sign are diagonally opposite to each other.
Hence figure C is odd one out.
35. Two or more elements combine to form a:
A. Atom
B. Radical
C. Compound
D. Valence
Solutions
A Compound is formed by chemical combination of 2 or more elements in a definite ratio.
Example: CO2, H2O.
| Element | Compound | Mixture |
| An Element is a fundamental substance which cannot be divided into two or more different components which have different properties by any physical or chemical process. | Two or more elements combine to form a compound and are joined to each other by chemical bonds. | The constituent molecules of a mixture are different from each other and are not joined by chemical bonds. |
| Example: Oxygen molecules (O2) | Example: CO2, H2O | Example: Mixture of N2 and O2 |
36. In ΔABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in ΔABC. The radius of the circle is:
A. 2 cm
B. 4 cm
C. 1 cm
D. 3 cm
Solutions
In ΔABC, ∠B = 90°
⇒ AC2 = AB2 + BC2
⇒ AC = √(64 + 225) = √289= 17 cm
Now area of ΔABC = 1/2 × AB × BC = 1/2 × 8 × 15= 60 cm2
Let the radius of circle is r and centre is I.
Then area of (ΔAIB + ΔAIC + ΔBIC) = 60
⇒ [1/2 × AB × r + 1/2 × r × AC + 1/2 × r × BC] = 60
⇒ 1/2(8 × r + 17 × r + 15 × r) = 60
⇒ 40r = 120
∴ r = 3 cm
37. Use each of the following figures only once and form three groups. The three groups so formed are:
A. (1, 4, 7), (3, 5, 8), (2, 6, 9)
B. (1, 4, 7), (2, 6, 8), (3, 5, 9)
C. (1, 4, 7), (2, 5, 8), (3, 6, 9)
D. (1, 5, 7), (2, 4, 8), (3, 6, 9)
Solutions
Figure 1, 4 and 7 have 4 sides, so they form a group.
Figure 2, 5 and 8 are 2-dimensional figures, so they form a group.
Figure 3, 6 and 9 all are triangles, so they form a group.
Thus, the answer is sets (1, 4, 7), (2, 5, 8), (3, 6, 9).
38. Which of the following devices help to maintain a potential difference across a conductor?
A. Ammeter
B. Galvanometer
C. A cell or battery
D. Voltmeter
Solutions
| Instruments | Application |
| A cell or battery | To apply a potential difference between two ends of a conductor |
| Ammeter | To measure the current flowing in the circuit |
| Galvanometer | To measure electric current |
| Rheostat | To change the resistance as required and thereby control the current |
| Voltmeter | The potential difference between two points in the circuit is measured through it |
39. Who is the Governor of Assam?
A. Ganga Prasad
B. Subramanian Swamy
C. Jagdish Mukhi
D. Banwarilal Purohit
Solutions
| Person | Information |
| Ganga Prasad | Governor of Sikkim |
| Subramanian Swamy | Member of Parliament in Rajya Sabha |
| Jagdish Mukhi | Governor of Assam |
| Banwarilal Purohit | Governor of Tamil Nadu |
Governors of North Eastern States:
| Jagdish Mukhi | Assam and Mizoram |
| Ganga Prasad | Sikkim |
| Brig. (Dr.) B. D. Mishra (Retd.) | Arunachal Pradesh |
| Padmanabha Balakrishna Acharya | Nagaland |
| Kaptan Singh Solanki | Tripura |
| Tathagata Roy | Meghalaya |
| Dr. Najma A. Heptulla | Manipur |
40. How many atoms will one mole of Carbon (C – 12) contain?
A. 6.02 × 1026
B. 60.20 × 1026
C. 8.06 × 1020
D. 6.02 × 1023
Solutions
Concept:
Avogadro’s number: The number of units present in one mole of a given substance is called the Avogadro’s number.
- Avogadro’s number (NA) is equal to 6.022140857 × 1023.
- This number also called Avogadro’s constant is equal to the number of atoms present in 12 grams of Carbon-12.
- Mole is a fundamental unit of measure of the amount of a substance.
- For atoms, the mass of Avogadro’s number of particles is equal to their atomic mass in grams.
- For molecules, the mass of Avogadro’s number of particles is equal to their molecular mass in grams.
Explanation:
- A mole is a unit of measurement which is defined as a quantity of anything which has the same number of particles (atoms, molecules, etc) as are found in 12 grams of carbon-12.
- The number of particles is defined as Avogadro’s Number and it is approximately 6.02×1023.
That is, 1 mole of carbon has 6.02×1023 atoms of carbon and weighs 12 grams.
Additional Information
- C-12 is an isotope of Carbon and is widely used as a standard for measurement of atomic masses of all nuclides.
41. A train, starting from rest, attains a velocity of 90 km/h in 5 minutes. Assuming that the acceleration is uniform, the distance travelled by the train during this time is:
A. 1.5 km
B. 3.25 km
C. 2.25 km
D. 3.75 km
Solutions
Initial Velocity = u = 0 km/h
Final velocity = v = 90 km/h
Time = 5 min = 5/60 h = 1/12 h
Acceleration = a = ?
a = (v-u)/t
a = (90-0)/ (1/12)
= 90 ×12
= 1080 km/h²
Distance travelled = s = ut+ (1/2) at²
= 0x (1/12) + (1/2) × (1080) × (1/12)²
= (1/2) x1080x (1/144)
= 3.75km
∴ Distance travelled by the train = 3.75km.
42. In which language was ‘Tujuk-i-Babri’, the Memoirs of Babur, composed?
A. Kurdish
B. Pashto
C. Urdu
D. Turkish
Solutions
‘Tujuk-i-Babri’ was composed in the Turkish language.
Babur was the first Mughal ruler and the founder of the Mughal Empire in India.
In 1589, Babur’s memoirs translated into Persian as Baburnama.
43. 32% of a number is 80. What is the number?
A. 260
B. 250
C. 40.
D. 50
Solutions
Let the number be x.
⇒ 32% of x = 80
⇒ 32/100 × x = 80
⇒ x = (80 × 100) /32
∴ x = 250
44. The square root of 5776 is:
A. 76
B. 66
C. 84
D. 64
Solutions
Square root of 5776 = 76
Trick∶
Unit digit of 5776 = 6
∵ We know that unit digit of 62 = 6
The square root must be a number whose unit digit will be 6.
Hence, the required answer must be either 66 or 76.
Now, we know that 702 = 4900
∴ The required answer must be greater than 70.
∴ The square root of 5776 will be 76.
45. If the letters in the word BACKFIELED are arranged as in the English alphabetical order, then which letter will be to the second right of the letter ‘F’, after the rearrangement?
A. C
B. L
C. E
D. K
Solutions
If we arrange the letters of the word BACKFIELED in alphabetical order then the rearrangement will be ABCDEEFIKL.
So, the alphabet that is 2nd to the right of F will be K.
46. In Force equation, F is equal to:
A. Ma
B. mgh
C. Mv
D. u+at
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 has magnitude as well as direction. It is a vector quantity.
- The force could be a pull or a push
Force (F) = Mass (m) × acceleration (a)
EXPLANATION:
Force = Mass × Acceleration = M × a.
Hence option 1 is correct.
47. If a + 1/a = 3, then a3 + 1/a3 = ?
A. 6
B. 9
C. 18
D. 12
Solutions
48. Select the missing figure based on the given related pair of figures.
A. 
B. 
C. 
D. 
Solutions
Rabbit and Snail are both animals with opposite speed. So the opposite of airplane will be Bullock cart because both are used for transportation purpose and are of different speed.
Hence image of bullock cart is related to image of airplane.
49. To go a certain distance of 40 km upstream a rower takes 8 hours while it takes her only 5 hours to row the same distance downstream. What was the rower’s speed in still water?
A. 1.5 km/h
B. 4.5 km/h
C. 6.5 km/h
D. 4 km/h
Solutions
Let x be the rower’s speed and y be the current speed of water.
Speed while going upstream = (x –y)
⇒ 40/ (x – y) = 8
⇒ x – y = 5 —- (1)
Now speed while going downstream = (x + y)
⇒ 40/ (x + y) = 5
⇒ x + y = 8 —-(2)
From equation 1 and 2 we get
x = 6.5 km/hr
∴ Rower’s speed = 6.5 km/hr
50. ‘Explore’ is related to ‘Discover’ in the same way as ‘Walk’ is related to ________.
A. Find
B. Accelerate
C. Ramble
D. Search
Solutions
Explore: to search and discover (about something)
Discover: To find something for first time.
Both the words indicate almost same meaning.
Walk: Move at a place.
Ramble: walk for pleasure.
Accelerate: to start moving or increase in rate
Find and search: to look for something.
So only word Ramble has the same meaning as walk.
Thus, we can say that Ramble is synonym of Walk.
51. Which Indian state has the most number of domestic airports?
A. Gujarat
B. Delhi
C. West Bengal
D. Maharashtra
Solutions
Gujarat has the most number of airports among the given options. There are a total of 9 airports in the state of Gujarat.
For the development of infrastructure, the Gujarat Government has created a statutory organisation- Gujarat Infrastructure Development Board (GIDB).
Name of Important Airports: Ahmedabad, Vadodara, Bhavnagar, Bhuj, Gandhidham, Mundra, Porbandar, Surat, and Kesod.
52. In a certain code, if DOG is written as 4157, then what will MAT be written as?
A. 12120
B. 13012
C. 13120
D. 14120
Solutions
The code here are direct place value of letters.
DOG = 4157So code for MAT will be 13120.
53. Consider the given question and decide which of the following statement is sufficient to answer the question.
What are the values of p, q and r?
Statements:
1. (p + q)2 = 16
2. p – q = 4; r = 2p
A. Neither 1 nor 2 is sufficient to answer the question.
B. Only 1 is sufficient to answer the question
C. Only 2 is sufficient to answer the question
D. Both 1 and 2 together are sufficient to answer the question.
Solutions
From statement 1,
(p + q)2 = 16
⇒ p + q = ± 4
Now from statement 2,
p – q = 4, r = 2p
From 1 and 2 we can get an answer
p + q = 4 (Equation 1)
were p = 4+q (Equation 2)
4+q+q = 4 (solving)
2q = 0, (q=0)
p + q = 4
(p = 4)
r = 2 × p = 2 × 4 = 8
Combining both statements we can get a fixed value of p = 4, q = 0, and r =8.
∴ Both 1 and 2 together are sufficient to answer the question.
54. Complete the following sentence with the most suitable option.
A shirt always has _____
A. fabric
B. a collar
C. a pocket
D. a button
Solutions
A shirt can be without Collar, pocket, and button.
But,
The idea of a shirt cannot exist without the fabric.
Hence, the fabric is the correct answer.
55. Which is the name of the point at which the chromatids are attached in a chromosome?
A. Nucleosome
B. Centromere
C. Centrosome
D. Gene
Solutions
| Term | Information |
| Nucleosome | It is a structure which is formed when the negatively charged DNA is wrapped around the positively charged histone octamer. |
| Centromere | It is a point at which the chromatids are attached in a chromosome. |
| Centrosome | This cell organelle is only found in animal cells and it is composed of two centrioles. |
56. The female reproductive part of a flower is called________.
A. Stamens
B. Petals
C. Sepals
D. Carpel
Solutions
Gynaecium is the female whorl and its membranes are called carpels. Androecium is a male whorl and its members are called stamens.
A Flower forms the structural unit of sexual reproduction in plants. It consists of four floral whorls as calyx, corolla, androecium and gynaecium. They are arranged in sequence from outside to inside.
Androecium and gynoecium are called ‘essential whorls’ because they perform the function of reproduction whereas calyx and corolla are called ‘accessory whorls’ because they are responsible for the protection of inner whorls.
57. Amish Tripathi, a famous Indian writer, is working on a series based on Ramayana, in which the first two books focus on Rama and Sita, respectively. On which character does the third book of this series focus?
A. Hanuman
B. Lakshmana
C. Bharata
D. Raavana
Solutions
Amish Tripathi has written series based on Ramayana, the first two books focus on Rama and Sita. The third character of Ram Chandra series after Rama and Sita is Raavana.
| Book Series | Name of Books |
| Shiva Trilogy | 1. The Immortals of Meluha 2. The Secret of the Nagas 3. The Oath of the Vayuputras |
| Ram Chandra | 1. Ram: Scion of Ikshvaku 2. Sita: Warrior of Mithila 3. Raavan: Orphan of Aryavarta |
58. Which of the following is used for disinfecting drinking water?
A. Baking Soda
B. Washing Soda
C. Baking powder
D. Bleaching powder
Solutions
| Name | Chemical Formula | Uses |
| Bleaching powder(Calcium oxychloride) | CaOCl2 | It is used for disinfection of drinking water and the water in the swimming pool and for disinfection by the road side and garbage sites |
| Baking Soda(Sodium bicarbonate) | NaHCO3 | It is basic in nature hence it is used to reduce acidity in the stomach. It is used to make bread, cake, dhokla. |
| Washing Soda | Na2CO3 | It is used mainly for washing clothes. |
59. Which of the following allotropes of Carbon is used as a reducing agent in metallurgy?
A. Coke
B. Carbon Black
C. Charcoal
D. Graphite
Solutions
| Allotropes | Application |
| Coke | 1. Coke is used as a reducing agent in metallurgy.2. Used as domestic fuel.3. Used in the production of water gas (CO +H2) and producer gas. |
| Charcoal | It is used as a fuel in factories and homes to obtain coke, coal gas, and coal tar. |
| Graphite | Graphite is used for making lubricants, carbon electrodes, pencils for writing, paints, and polish |
60. If tanα = √2 – 1, then the value of tanα – cotα = ?
A. 2√2
B. -2
C. 1
D. √2 + 1
Solutions
If tanα = √2 – 1
then cotα = 1/tanα = 1/ (√2 – 1)
∴ tanα – cotα = (√2 – 1) – (√2 + 1) = -2
61. Solve the following
7 × {4 + (-2) × (-3)} = ?
A. 70
B. 14
C. -42
D. -14
Solutions
7 × {4 + (-2) × (-3)}
Applying BODMAS rule,
⇒ 7 × {4 + (-2) × (-3)}
⇒ 7 × {4 + 6} = 70
62. Find the compound interest on Rs. 62500 at 21% per annum for
years compounded half yearly.
A. Rs. 21827.03
B. Rs. 19687.5
C. Rs. 21638.5
D. Rs. 20695
Solutions
GIVEN:
Principle(P) = Rs. 62500
Rate of interest(r) = 21% per annum = 10.5% half yearly
Time(n) = 3/2 years = 3 half years
FORMULA USED:
A = P(1 + r/100)n
Where,
A= Amount, P = Principle ,r = Rate of interest , n = Time
CALCULATION:
⇒ A = 62500(1 + 10.5/100)3
⇒ A = 62500 × (110.5/100)3
⇒ A = 62500 × 110.5/100 × 110.5/100 × 110.5/100
⇒ A = Rs. 84327.03
∴ Compound Interest earned = A – P= 84327.03 – 62500 = Rs. 21827.03
63. Select the figure that does NOT belong in the following group.
A. D
B. B
C. C
D. A
Solutions
All the given images except image at C, have even number of petals whereas figure C have odd number of petals.
Hence figure C is odd one.
64. What is the age of the eldest sister if, the sum of ages of 5 sisters born at the intervals of 3 years each is 50 years?
A. 16 years
B. 4 years
C. 14 years
D. 18 years
Solutions
Let the age of youngest sister be x.
⇒ (x) + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
⇒ x = 4
∴ Age of eldest sister = (x + 12) = 16 years
65. In the following alphanumeric series, one term is missing as shown by the question mark (?). Select the missing term from the given options.
5E, 7F, 11H, 17K, ?
A. P25
B. Q20
C. N20
D. 25O
Solutions
In the alphabetical series:
E + 1 = F,
F + 2 = H,
H + 3 = K,
So, K + 4 = O
In the numeric series:
5 + 2 = 7,
7 + 4 = 11,
11 + 6 = 17,
So, 17 + 8 = 25
Thus the next term in series is 25O.
66. Which chef was awarded the Padma Shri in 2017 for his culinary contributions?
A. Vikas Khanna
B. Madhur Jaffrey
C. Sanjeev Kapoor
D. Ranveer Brar
Solutions
- Sanjeev Kapoor was awarded the prestigious Padma Shri award in the year 2017 for his contributions in the field of culinary.
- Famous books of Sanjeev Kapoor: The Live Well Diet, No Oil Recipes, Chicken Recipes, Any Time Temptations.
Did you know?
Masterchef Sanjeev Kapoor isn’t just a kitchen rockstar he can play the drums very well.
67. 23 × 31 = 713. How much is 0.0713 ÷ 3.1?
A. 0.0023
B. 0.23
C. 0.023
D. 2.3
Solutions
As we know 23 × 31 = 713
⇒ 713/31 = 23
⇒ 0.0713 ÷ 3.1 = (713 × 10) / (31 × 10000)
⇒ 0.0713 ÷ 3.1 = 713/31000 = 0.023
68. There was a group of six student who took a test. Another student joined the group after taking the test later. With her marks included the average score of the group went up by 3. This student has got _________ marks more than the average marks without her being included.
A. 20
B. 21
C. 18
D. 24
Solutions
Let the average be ‘x’.
x = Total marks/Total no. of students
⇒ Total marks = 6 × x —-(1)
Now including a girl, average increased by 3
⇒ (x + 3) = Total marks/7
⇒ Total marks = 7(x × 3) = 7x + 21
⇒ Increased marks = 7x + 21 – 6x = x + 21
∴ The girl got 21 marks more than the average marks without her being included.
69. The unit of power used in industry is:
A. Kilowatts
B. Watts
C. Joule
D. Horse power
Solutions
- Horse power: The unit used to measure power in the industrial sector.
1 Horse power = 746 Watt.
- 1 Kilowatt Power: 1000 Joule work performed in 1 second is 1 kilowatt power.
1 kW h = 1 kW × 1hr = 1000 W × 3600 s = 3600000 J
1 kW h = 3.6 × 106 J
- Electricity used for domestic purposes is measured in Units of Kilowatt Hour.
1 kW h = 1 unit
70. In the morning, X and Y walk towards each other in a park. When they meet, Y’s shadow falls towards the right side of X. In which direction was X facing?
A. East
B. South
C. West
D. North
Solutions
If it is morning then source of light is in east. And shadow falls to the opposite direction of source of light.
If X faces south then shadow of Y will fall on X’s right side.
Thus, X is facing south.
71. How many triangles are present in the below figure?
A. 13
B. 15
C. 14
D. 12
Solutions
The figure may be labeled as below:
Starting from left the triangles in the figure are:
adh, daf, ajf, aje, aef,afh,abh, aib, fjh, ghi, ghb, hib, gbc, and hbc.
So, there is total of 14 triangles in the figure.
72. In the following Venn diagram the total number of students who play all three games is:
A. S + Q
B. S + Q + V
C. S
D. S + V
Solutions
S is the common part of kabaddi, football and cricket.
So, S is the number of students who play all the three games.
73. A fungal cell wall is made of ________.
A. Hemi-cellulose
B. Cellulose
C. Chitin
D. Lignin
Solutions
A fungal cell wall is made up of a tough and complex sugar called ‘Chitin’.
Fungi are non-green, eukaryotic, heterotrophic organisms. Most of them are saprotrophs. They feed upon decaying organic matter.
Examples– yeast, Aspergillus, Penicillium, Mushrooms.
74. Praneet started his journey at 2:45:46 p.m. and reached the destination at 4:55:57 p.m. Anit started the journey 58 mins 40 secs after Praneet and reached his destination 50 mins 29 secs after him. How long did Anit take to complete his journey?
A. 2 hours 1 minutes 12 seconds
B. 2 hours 2 minutes
C. 1 hour 58 minutes
D. 2 hours 2 seconds
Solutions
Anit’s time when he starts his journey = Praneet’s starting time + 0:58:40
⇒ Anit’s time = 2:45:46 + 0:58:40 = 3:44:26 pm
Anit’s reaching time = Praneet’ reaching time + 0:50:29
⇒ Anit’s reaching time = 4:55:57 + 0:50:29 = 5:46:26 pm
∴ Time taken by Anit in journey = 5:46:26 – 3:44:26= 2:02:00 hrs= 2 hours 2 mins
75. Complete the following sentence with the most appropriate option.An office always has a/an
A. Roof
B. Car
C. Kitchen
D. Authority
Solutions
An office can be in an open place, so an office doesn’t always have a roof.
An office can be of small scale, so car is not a thing that an office always has.
It is not necessary for an office to have a kitchen.
An office whether it is small scale or large scale, whether is in an open place or in closed place it always has an authority.
