Instructions for **Aptitude Contest**** – January 2021****:**

- You can select only one option at a time.
- You can take the QUIZ multiple times.
- Each question will carry 100 points.
- There are altogether 35 questions.
- After finishing the test, you will get a score message as shown below.
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** Aptitude Contest**** – January 2021:**

## Quiz Contest - January 2021

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Question 1 |

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

A | 200 |

B | 150 |

C | 100 |

D | 50 |

Question 1 Explanation:

Then, sum of their values = Rs. {(25x / 100) +[(10 * 2x) / 100)]+ (5 * 3x /100)} = Rs. 60x / 100

(60x / 100) = 30

x = (30 x 100) / 60 = 50

Hence, the number of 5 p coins = (3 x 50) = 150

(60x / 100) = 30

x = (30 x 100) / 60 = 50

Hence, the number of 5 p coins = (3 x 50) = 150

Question 2 |

If A + B means A is the brother of B; A - B means A is the sister of B and A x B means A is the father of B. Which of the following means that C is the son of M?

A | M x N - C + F |

B | M - N x C + F |

C | N + M - F x C |

D | F - C + N x M |

Question 2 Explanation:

M x N → M is the father of N

N - C → N is the sister of C

and C + F → C is the brother of F

Hence, M is the father of C or C is the son of M

N - C → N is the sister of C

and C + F → C is the brother of F

Hence, M is the father of C or C is the son of M

Question 3 |

If in a certain language

**FLOWER**is written as**EKNVDQ**, what will be written as**GNTRD**?A | HOUSE |

B | HUOSE |

C | HEOUS |

D | None of these |

E | HOUES |

Question 3 Explanation:

Each letter of the word is one step ahead of the corresponding letter of the code.
E K N V D Q G N T R D
F L O W E R H O U S E
Thus HOUSE is written as GNTRD, So the answer is (4)

Question 4 |

What is the unit digit in the product (3

^{65}x 6^{59}x 7^{71})?A | 2 |

B | 4 |

C | 6 |

D | 1 |

Question 4 Explanation:

Unit digit in 34 = 1 Unit digit in (34)16 = 1

Unit digit in 365 = Unit digit in [ (34)16 x 3 ] = (1 x 3) = 3

Unit digit in 659 = 6

Unit digit in 74 Unit digit in (74)17 is 1.

Unit digit in 771 = Unit digit in [(74)17 x 73] = (1 x 3) = 3

Required digit = Unit digit in (3 x 6 x 3) = 4.

Unit digit in 365 = Unit digit in [ (34)16 x 3 ] = (1 x 3) = 3

Unit digit in 659 = 6

Unit digit in 74 Unit digit in (74)17 is 1.

Unit digit in 771 = Unit digit in [(74)17 x 73] = (1 x 3) = 3

Required digit = Unit digit in (3 x 6 x 3) = 4.

Question 5 |

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is:

A | 305 |

B | 235 |

C | 127 |

D | 123 |

Question 5 Explanation:

Required number = H.C.F. of (1657 - 6) and (2037 - 5)

= H.C.F. of 1651 and 2032 = 127.

= H.C.F. of 1651 and 2032 = 127.

Question 6 |

A shopkeeper professes to sell his goods at cost price but uses a weight of 800gm instead of 1kg. Thus he makes a profit of?

A | 50% |

B | 25% |

C | 16% |

D | 20% |

Question 6 Explanation:

The shopkeeper uses weight of 800gm instead of 1kg

So, 200gm difference = profit

profit % = 200/800 * 100 = 25%

So, 200gm difference = profit

profit % = 200/800 * 100 = 25%

Question 7 |

Odometer is to mileage as compass is to

A | Speed |

B | Needle |

C | Hiking |

D | Direction |

Question 7 Explanation:

An odometer is an instrument used to measure mileage. A compass is an instrument used to determine direction. Choices a, b, and c are incorrect because none is an instrument.

Question 8 |

The rational number for recurring decimal 0.125125.....is ?

A | 125/999 |

B | None of these |

C | 63/487 |

D | 119/993 |

Question 8 Explanation:

0.125125... = 0.125 = 125/999

Question 9 |

Find the odd man out 1, 4, 9, 16, 23, 25, 36 ?

A | 25 |

B | 9 |

C | 36 |

D | 23 |

Question 9 Explanation:

Each of the numbers except 23, is perfect square

Question 10 |

A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

A | 230 m |

B | 240 m |

C | 270 m |

D | 260 m |

Question 10 Explanation:

Speed = (72 * 5 / 18) m/sec = 20 m/sec

Time = 26 sec

Let the length of the train be x metres

Then, (x + 250) / 26 = 20

x + 250 = 520 x = 270

Time = 26 sec

Let the length of the train be x metres

Then, (x + 250) / 26 = 20

x + 250 = 520 x = 270

Question 11 |

Four dice are thrown simultaneously. Find the probability that all of them show the same face?

A | 1/216 |

B | 1/36 |

C | 4/216 |

D | 3/216 |

Question 11 Explanation:

The total number of elementary events associated to the random experiments of throwing four dice

simultaneously is:

= 6×6×6×6 = 6

n(S) = 6

Let X be the event that all dice show the same face

Hence required probability,

=

= 6 / 6

simultaneously is:

= 6×6×6×6 = 6

^{4 }n(S) = 6

^{4}Let X be the event that all dice show the same face

*X*={(1,1,1,1,),(2,2,2,2),(3,3,3,3),(4,4,4,4),(5,5,5,5),(6,6,6,6)}*n*(*X*) = 6Hence required probability,

=

*n*(*X*) /*n*(*S*)= 6 / 6

^{4}= n(X) / n(S) = 6 / 6^{4}= 1 / 216Question 12 |

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, Find the difference between the agres of R and Q?

A | 1 year |

B | 25 years |

C | Data inadequate |

D | 2 year |

Question 12 Explanation:

R - Q = Q - T

(R+T) = 2Q

Now given that, (R+T) = 50

2Q = 50

Q = 25

Without knowing the value of R or T, we cant find R -Q. Hence, Data inadequate

(R+T) = 2Q

Now given that, (R+T) = 50

2Q = 50

Q = 25

Without knowing the value of R or T, we cant find R -Q. Hence, Data inadequate

Question 13 |

**Statement**: Should new universities be established in India ?

**Argument :**

##### I. No. We have still not achieved the target of literacy.

##### II. No. We will have to face the problem of unemployed but highly qualified people.

A | Only argument I is strong |

B | Only argument II is strong |

C | Either I or II is strong |

D | Neither I nor II is strong |

Question 13 Explanation:

Clearly, instead of improving upon higher education we should focus on increasing literacy rate first.

Also more degree holders with the number of jobs remaining same will increase unemployment.

So both arguments are strong.

Also more degree holders with the number of jobs remaining same will increase unemployment.

So both arguments are strong.

Question 14 |

19, 24, 20, 25, 21, 26 ?

A | 23 |

B | 22 |

C | 27 |

D | 28 |

Question 14 Explanation:

This is a combination of two series

19,20,21,22, and

24, 25, 26...

19,20,21,22, and

24, 25, 26...

Question 15 |

A motorboat with a speed of 15 kmph travels 72 km downstream in 4 hrs. Find the time required to travel the same distance upstream.

A | 4 hours |

B | 4.5 hours |

C | 6 hours |

D | 5 hours |

Question 15 Explanation:

Downstream speed = 72/4 = 18 kmph

S= d – b = 3

U = b – s = 12 kmph

Time taken to travel 72 km upstream

= 72/12 = 6 hours

S= d – b = 3

U = b – s = 12 kmph

Time taken to travel 72 km upstream

= 72/12 = 6 hours

Question 16 |

Find the compound interest on Rs. 10000 at 12% rate of interest for 1 year, compounded half-yearly?

A | Rs. 1236 |

B | Rs. 2765 |

C | Rs. 1543 |

D | Rs. 7654 |

Question 16 Explanation:

Amount with CI = 10000 [1+ (12 / 2 * 100)]

Therefore, CI = 11236 – 10000 = Rs. 1236

^{2 }= Rs. 11236Therefore, CI = 11236 – 10000 = Rs. 1236

Question 17 |

Reena walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet. Again she turned to the right and walked 14 feet. How far is she from A?

A | 5 feet |

B | 27 feet |

C | 4 feet |

D | 24 feet |

Question 18 |

Mohan always keeps

*himself to himself*A | is unsociable |

B | does not take sides |

C | is too busy |

D | is selfish |

Question 19 |

Painting ?

A | Books |

B | Canvas |

C | Pictures |

D | Colours |

Question 19 Explanation:

Explanation: The action or skill of using paint, either in a picture or as decoration.

Question 20 |

An equinox occurs twice a year, on 20th march and 22nd September. Find the number of days between the equinoxes (excluding both the days)?

A | 186 |

B | 187 |

C | 184 |

D | 185 |

Question 20 Explanation:

No. of days between 20th march and 11nd September

= 11+30+31+30+31+31+21

= 185

= 11+30+31+30+31+31+21

= 185

Question 21 |

Arun started a company investing Rs.200000. After 8 months, Varun joined him with a capital of Rs. 120000. After 2 years, they earned a profit of Rs. 42000, what is varun’s share of the profit?

A | Rs. 14000 |

B | Rs.6000 |

C | Rs. 30000 |

D | Rs. 12000 |

Question 21 Explanation:

Profits of arun and Varun are in the ratio 200000*24 : 120000*16 = 5:2

Varun’s share = (2/7)*42000 = Rs. 12000

Varun’s share = (2/7)*42000 = Rs. 12000

Question 22 |

What percentage of numbers from 1 to 70 has 1 or 9 in the unit's digit?

A | 20 |

B | 1 |

C | 21 |

D | 14 |

Question 22 Explanation:

Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. < br/>
Number of such number =14 < br/>
Required percentage = (14/70 x 100)% = 20%

Question 23 |

**Statement:**To make the company commercially viable, there is an urgent need to prune the staff strength and borrow money from the financial institutions." â€” Opinion of a consultant.

**Assumptions**I) The financial institutions lend money for such proposals. II) The product of the company has a potential market. III) The employees of the company are inefficient.

A | Only I is implicit |

B | All are implicit |

C | Only II and III are implicit |

D | Only I and II are implicit |

E | None is implicit |

Question 23 Explanation:

Since the consultant talks of borrowing money from financial institutions, so I is implicit.

That the owners wish to make the company 'commercially viable' makes II implicit. Also, it is mentioned that staff strength is to be reduced to make the company 'commercially viable'.

So, III is not implicit

That the owners wish to make the company 'commercially viable' makes II implicit. Also, it is mentioned that staff strength is to be reduced to make the company 'commercially viable'.

So, III is not implicit

Question 24 |

**Statements:**I) The Government has decided to hold a single entrance test for admission to all the medical colleges in India II) The State Government has debarred students from other States to apply for the seats in the medical colleges in the State

A | Statement II is the cause and statement I is its effect |

B | Statement I is the cause and statement II is its effect |

C | Both the statements I and II are independent causes |

D | Both the statements I and II are effects of independent causes |

E | Both the statements I and II are effects of some common cause |

Question 24 Explanation:

Both the statements are effects of some common cause

Question 25 |

I) Taking the train across town is quicker than taking the bus.
II) Taking the bus across town is slower than driving a car.
III) Taking the train across town is quicker than driving a car.
If the first two statements are true, the third statement is

A | Uncertain |

B | True |

C | False |

Question 25 Explanation:

We know from the first two statements that Tuesday had the highest temperature, but we cannot know whether Monday's temperature was higher than Tuesday's

Question 26 |

A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water?

A | 4 |

B | 2 |

C | 5 |

D | 8 |

Question 26 Explanation:

Quantity of milk in the mixture = 90/100 (70) = 63 litres

After adding water, milk would form 87 1/2% of the mixture

Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72

Hence 72 - 70 = 2 litres of water must be added

After adding water, milk would form 87 1/2% of the mixture

Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72

Hence 72 - 70 = 2 litres of water must be added

Question 27 |

A 9% stock yields 8%. The market value of the stock is

A | Rs. 112.50 |

B | Rs. 90 |

C | Rs. 72 |

D | Rs. 116.50 |

Question 27 Explanation:

To get Rs.8, investment = Rs. 100
To get Rs.9, investment = Rs. 100/8 * 9 = Rs. 112.50
Market value of Rs. 100 stock = Rs. 112.50

Question 28 |

A is thrice as good as B in work. A is able to finish a job in 60 days less than B. They can finish the work in how many days if they work together?

A | 22 1/2 days |

B | 24 days |

C | 18 days |

D | 26 days |

Question 28 Explanation:

If A completes a work in 1 day, B completes the same work in 3 days

Hence, if the difference is 2 days, B can complete the work in 3 days

=> if the difference is 60 days, B can complete the work in 90 days

=> Amount of work B can do in 1 day = 1/90

Amount of work A can do in 1 day = 3 * (1/90) = 1/30

Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45

=> A and B together can do the work in 45/2 days = 22 ½ days

Hence, if the difference is 2 days, B can complete the work in 3 days

=> if the difference is 60 days, B can complete the work in 90 days

=> Amount of work B can do in 1 day = 1/90

Amount of work A can do in 1 day = 3 * (1/90) = 1/30

Amount of work A and B can together do in 1 day = 1/90 + 1/30 = 4/90 = 2/45

=> A and B together can do the work in 45/2 days = 22 ½ days

Question 29 |

A cuboid of length 16m, breadth 9m and height 12m is cut into 64 equal smaller cubes. How many do the sides of the cubes measure?

A | 6 |

B | 3 |

C | 1 |

D | 2 |

Question 29 Explanation:

Volume of the smaller cube = 16*9*12/ 64

= 27 mcube

Side of the smaller cube = 3m

= 27 mcube

Side of the smaller cube = 3m

Question 30 |

If a quarter kg of potato coasts 60 paise, how many paise will 200 gm cost?

A | 65 |

B | 56 |

C | 48 |

D | 87 |

Question 30 Explanation:

Let the required weight be x kg
Less weight, less cost (Direct proportion)
250 : 200 :: 60 : x
250 * x = (200 * 60)
X= (200 * 60) / 250
X= 8*6
X= 48

Question 31 |

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A | 21400 |

B | 210 |

C | 1050 |

D | 25200 |

Question 31 Explanation:

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)

(

(7*6*5/3*2*1) * (4*3/2*1)

=210

Number of groups, each having 3 consonants and 2 vowels = 210.

Each group contains 5 letters.

Number of ways of arranging

5 letters among themselves = 5!

= 5 x 4 x 3 x 2 x 1

= 120.

Required number of ways = (210 x 120) = 25200.

(

^{7}C_{3}x^{4}C_{2})(7*6*5/3*2*1) * (4*3/2*1)

=210

Number of groups, each having 3 consonants and 2 vowels = 210.

Each group contains 5 letters.

Number of ways of arranging

5 letters among themselves = 5!

= 5 x 4 x 3 x 2 x 1

= 120.

Required number of ways = (210 x 120) = 25200.

Question 32 |

Two pipes A and B can fill a tank in 20 min, when opened simultaneously. If pipe A alone takes 60 minutes to fill the tank, how much time will pipe B alone take to fill the tank?

A | 20 minutes |

B | 60 minutes |

C | 30 minutes |

D | 40 minutes |

Question 32 Explanation:

Let B take x minutes to fill the tank

Part of the tank filled by A and B = (1/60) + (1/x) = (1/20)

Solving this, x= 30

Part of the tank filled by A and B = (1/60) + (1/x) = (1/20)

Solving this, x= 30

Question 33 |

**Statement:**

**There is an unprecedented increase in migration of villagers to urban areas as repeated crop failure has put them into precarious financial situation.**

**Courses of Action:**I) The villagers should be provided with alternate source of income in their villages which will make them stay put. II) The migrated villagers should be provided with jobs in the urban areas to help them survive

A | Only I follows |

B | Only II follows |

C | Neither I nor II follows |

D | Either I or II follows |

E | Both I and II follow |

Question 33 Explanation:

Clearly, increased migration would add to the burden on city's infrastructure.

So, attempts should be made to make the villagers feel comfortable in the villages itself.

So, only course I follows.

So, attempts should be made to make the villagers feel comfortable in the villages itself.

So, only course I follows.

Question 34 |

**S1. Commercial energy consumption shows an increasing trend and poses the major challenge for the future.**A. The demand, for petroleum, during 1996 -97 and 2006 -07 is anticipated to be 81 million tonnes and 125 million tonnes respectively. B. According to the projections of the 14th Power Survey Committee Report, the electricity generation requirements from utilities will be about 416 billion units by 1996 – 97 and 824 billion units by 2006 – 07. C. The production of coal should reach 303 million tonnes by 1996 – 97 to achieve plan targets and 460 million tonnes by 2006 – 07. D. The demand for petroleum products has already rapidly outstripped indigenous production.

**S6. Electricity is going to play a major role in the development of infrastructural facilities.**

A | DCAB |

B | ADCB |

C | CADB |

D | DACB |

Question 34 Explanation:

The proper order for the four sentences is DACB

Question 35 |

1, 2, 3, 6, 9, 18, ?, 54

A | 27 |

B | 18 |

C | 36 |

D | 81 |

Question 35 Explanation:

The pattern is x 2, x 3/2, x 2, x 3/2, x 2,.....

So, missing term = 18 x 3/2 = 27.

So, missing term = 18 x 3/2 = 27.

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