Instructions for **Aptitude Contest**** – March 2020****:**

- 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 50 questions.
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** Aptitude Contest**** – MARCH 2020:**

## Quiz Contest - March 2021

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Question 1 |

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

A | 15 liters |

B | 7 liters |

C | 10 liters |

D | 9 liters |

Question 1 Explanation:

Number of liters of water in150 liters of the mixture = 20% of 150 = 20/100 * 150 = 30 liters

P liters of water added to the mixture to make water 25% of the new mixture

Total amount of water becomes (30 + P) and total volume of mixture is (150 + P)

(30 + P) = 25/100 * (150 + P)

120 + 4P = 150 + P => P = 10 liters

P liters of water added to the mixture to make water 25% of the new mixture

Total amount of water becomes (30 + P) and total volume of mixture is (150 + P)

(30 + P) = 25/100 * (150 + P)

120 + 4P = 150 + P => P = 10 liters

Question 2 |

**S1. Some years ago, I had to regularly deal with an executive who was notorious for being an emotional powder keg.**A. When his spirits were high, he could carry an entire division of staff with his energy and enthusiasm. B. This rampant emotionalism often served him well. C. When things were going his way, he could be incredibly clever, dynamic and generous. D. When things turned sour, he tended to be incredibly argumentative and unyielding.

**S6. Obviously, if I wanted something from him, it was important to catch him when he was on roll.**

A | DCBA |

B | BCAD |

C | ABCD |

D | BCDA |

Question 2 Explanation:

The proper order for the four sentences is BCDA

Question 3 |

Find the odd man out 41, 43, 47, 53, 61, 71, 73, 81?

A | 71 |

B | 61 |

C | 73 |

D | 81 |

Question 3 Explanation:

Each of the numbers except 81 is a prime number

Question 4 |

6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in how many days?

A | 6 days |

B | 2 days |

C | 8 days |

D | 4 days |

Question 4 Explanation:

Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b

Work done by 6 men and 8 women in 1 day = 1/10

=> 6m + 8b = 1/10

=> 60m + 80b = 1 --- (1)

Work done by 26 men and 48 women in 1 day = 1/2

=> 26m + 48b = ½

=> 52m + 96b = 1--- (2)

Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200

Work done by 15 men and 20 women in 1 day

=> 15/100 + 20/200 = 1/4

=> Time taken by 15 men and 20 women in doing the work = 4 days

Work done by 6 men and 8 women in 1 day = 1/10

=> 6m + 8b = 1/10

=> 60m + 80b = 1 --- (1)

Work done by 26 men and 48 women in 1 day = 1/2

=> 26m + 48b = ½

=> 52m + 96b = 1--- (2)

Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200

Work done by 15 men and 20 women in 1 day

=> 15/100 + 20/200 = 1/4

=> Time taken by 15 men and 20 women in doing the work = 4 days

Question 5 |

A certain principal amounts to Rs. 15000 in 2.5 years and to Rs. 16500 in 4 years at the same rate of interest. Find the rate of interest?

A | 3% |

B | 8% |

C | 5% |

D | 9% |

Question 5 Explanation:

Amount becomes 15000 in 2.5 years and 16500 in 4 years

Simple interest for (4 - 2.5) years = 16500 – 15000

Therefore, SI for 1.5 years = Rs. 1500

SI for 2.5 years = 1500 / 1.5 * 2.5 = 2500

Principal amount = 15000 – 2500 = Rs. 12500

Rate of Interest = 2500 * 100 / 12500 * 2.5

R = 8%

Simple interest for (4 - 2.5) years = 16500 – 15000

Therefore, SI for 1.5 years = Rs. 1500

SI for 2.5 years = 1500 / 1.5 * 2.5 = 2500

Principal amount = 15000 – 2500 = Rs. 12500

Rate of Interest = 2500 * 100 / 12500 * 2.5

R = 8%

Question 6 |

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

A | 38 |

B | 40 |

C | 30 |

D | 36 |

Question 6 Explanation:

Let the numbers be 2x and 3x.

Then, their L.C.M. = 6x.

So, 6x = 48 or x = 8

The numbers are 16 and 24.

Hence, required sum = (16 + 24) = 40.

Then, their L.C.M. = 6x.

So, 6x = 48 or x = 8

The numbers are 16 and 24.

Hence, required sum = (16 + 24) = 40.

Question 7 |

My car

*broke down*on way to the railway station.A | failed to work |

B | met with an accident |

C | Stopped |

D | ran out of petrol |

Question 8 |

Moving alone a stream, a boat travels 16 km and moving against the stream, it travels 12 km. The time taken for the entire journey is 5 hours. The upstream speed and downstream speed are in the ratio of 1:2. Find the speed of the stream.

A | 2 kmph |

B | 6 kmph |

C | 4 kmph |

D | 8 kmph |

Question 8 Explanation:

(16/d) + (12/u) = 5

d = 2u

s = (d - u)/2

Solving, s = 2 kmph

d = 2u

s = (d - u)/2

Solving, s = 2 kmph

Question 9 |

The value of ( 489.1375 x 0.0483 x 1.956 )/( 0.0873 x 92.581 x 99.749 ) is closest to ?

A | 0.06 |

B | 0.006 |

C | 6 |

D | 0.6 |

Question 9 Explanation:

(489.1375 x 0.0483 x 1.956)/(0.0873 x 92.581 x 99.749) = (489 x 0.05 x 2)/0.09 x 93 x 100

= 489/(9 x 93 x 10)

= 163/279 * 1/10

= 0.58/10

= 0.058 = 0.06

= 489/(9 x 93 x 10)

= 163/279 * 1/10

= 0.58/10

= 0.058 = 0.06

Question 10 |

A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?

A | C and P are sisters |

B | P is the maternal uncle of A |

C | P and A are cousins |

D | Q is the maternal grandfather of A |

Question 10 Explanation:

C and Q are sisters and A is the son of C.

Hence, C is the mother of A or Z is the mother Q.

Hence, Z is the maternal grandmother of A. P is the son of Z. < br> Hence, P is the maternal uncle of A

Hence, C is the mother of A or Z is the mother Q.

Hence, Z is the maternal grandmother of A. P is the son of Z. < br> Hence, P is the maternal uncle of A

Question 11 |

The ratio of the ages of men and neena is 4:3. The sum of their ages is 28 years. The ratio of their ages after 8 years will be?

A | 4 : 3 |

B | 6 : 5 |

C | 12 : 11 |

D | 7 : 4 |

Question 11 Explanation:

Let the ages of meena and neena be 4x and 3x respectively

M : N = 4 : 3

M + N = 28

4x + 3x = 28

X= 4

M= 16

N=12

(M+8) : (N+8) = 24 : 20 = 6 : 5

M : N = 4 : 3

M + N = 28

4x + 3x = 28

X= 4

M= 16

N=12

(M+8) : (N+8) = 24 : 20 = 6 : 5

Question 12 |

**Statement**: Should school education be made free in India ?

**Arguments :**

##### I. Yes. This is the only way to improve the literacy rate in India.

##### II. No. It would add the already heavy burden on the exchequer.

A | Both I and II are strong |

B | Only argument I is strong |

C | Only argument II is strong |

D | Neither I nor II is strong |

E | Either I or II is strong |

Question 12 Explanation:

Making education free can not ensure full literacy. So argument I is vague.

Argument II stands strong.

Argument II stands strong.

Question 13 |

P started from his house towards west. After walking a distance of 25 m. He turned to the right and walked 10 m. He then again turned to the right and walked 15 m. After this he is to turn right at 135

^{o}and to cover 30 m. In which direction should he go?A | South |

B | South-west |

C | South-east |

D | West |

Question 14 |

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A | 8/21 |

B | 3/4 |

C | 1/3 |

D | 7/19 |

Question 14 Explanation:

Total number of balls = (8 + 7 + 6) = 21

Let E = event that the ball drawn is neither red nor green

n(E) = 7

Therefore P(E) = n(E) / n(S) = 7 / 21 = 1 / 3

Let E = event that the ball drawn is neither red nor green

n(E) = 7

Therefore P(E) = n(E) / n(S) = 7 / 21 = 1 / 3

Question 15 |

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

A | 90% |

B | 65% |

C | 60% |

D | 57% |

Question 15 Explanation:

Total number of votes polled = (1136 + 7636 + 11628) = 20400.

Required percentage = (11628/20400 x 100) % = 57%.

Required percentage = (11628/20400 x 100) % = 57%.

Question 16 |

**Statement:**

**Four districts in State A have been experiencing severe drought for the last three years resulting into exodus of people from these districts.**

**Courses of Action:**I) The government should immediately start food for work programme in the district to put a halt to the exodus. II) The government should make since efforts to provide drinking/potable water to these districts.

A | Neither I nor II follows |

B | Either I or II follows |

C | Only II follows |

D | Both I and II follow |

E | Only I follows |

Question 16 Explanation:

The exodus can be stopped by providing the people conditions conducive to living.

So, both the courses follow

So, both the courses follow

Question 17 |

I) At a parking lot, a sedan is parked to the right of a pickup and to the left of a sport utility vehicle.
II) A minivan is parked to the left of the pickup.
III) The minivan is parked between the pickup and the sedan.
If the first two statements are true, the third statement is

A | False |

B | Uncertain |

C | True |

Question 17 Explanation:

This is the order of the cars from left to right: minivan, pickup, sedan, sport utility vehicle.

Question 18 |

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

A | 38,000 |

B | 17,000 |

C | 25,500 |

D | 20,000 |

Question 18 Explanation:

Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively

Then, (2x + 4000) / (3x + 4000) = 40 / 57

57(2x + 4000) = 40(3x + 4000)

6x = 68,000

3x = 34,000

Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000

Then, (2x + 4000) / (3x + 4000) = 40 / 57

57(2x + 4000) = 40(3x + 4000)

6x = 68,000

3x = 34,000

Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000

Question 19 |

39 person can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours day, complete the work?

A | 17 days |

B | 18 days |

C | 13 days |

D | 27 days |

Question 20 |

5, 6, 9, 15, ? , 40

A | 33 |

B | 21 |

C | 27 |

D | 25 |

Question 20 Explanation:

The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1, + 2), + (1 + 2 + 3),.....

So, missing term = 15 + (1 + 2 + 3 + 4) = 25.

So, missing term = 15 + (1 + 2 + 3 + 4) = 25.

Question 21 |

An article when sold at a gain of 5% yields rs. 15 more than when sold at a loss of 5%. Its cost price would be?

A | 150 |

B | 250 |

C | 300 |

D | 200 |

Question 21 Explanation:

Difference between gain% and loss% equal to 10%

then, 10% = rs. 15

100% = rs. 150 , that is your cost price

then, 10% = rs. 15

100% = rs. 150 , that is your cost price

Question 22 |

Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is?

A | 36 |

B | 10 |

C | 72 |

D | 18 |

Question 22 Explanation:

Let the speed of each train be xm/sec

Then, relative speed of the two trains = 2x m/sec

So, 2x = (120 + 120) / 12

2x = 20 x = 10

Speed of each train = 10 m/sec => (10 * 18/5)km/hr = 36 km/hr

Then, relative speed of the two trains = 2x m/sec

So, 2x = (120 + 120) / 12

2x = 20 x = 10

Speed of each train = 10 m/sec => (10 * 18/5)km/hr = 36 km/hr

Question 23 |

A man buys Rs. 20 shares paying 9% divided. The man wants to have an interest of 12% on his money. The market value of each share is

A | 12 |

B | 18 |

C | 15 |

D | 20 |

Question 23 Explanation:

Dividend on Rs. 20 = Rs. (90/100) x 20 = Rs. 9/5
Rs.12 is an income on Rs. 100
Rs. 9/5 is an income on Rs. (100/12) x (9/5) = Rs. 15

Question 24 |

If in a certain language

**CHAMPION**is coded as**HCMAIPNO**, how can**NEGATIVE**be coded in that code?A | NEGATIEV |

B | MGAETVIEf |

C | NEAGVEIT |

D | ENAGITEV |

E | EGAITEVN |

Question 24 Explanation:

(1) In the code each of the two letters are reversed in arrangement

Question 25 |

Which number comes before 30 in the below series?
1, 2, 3, 6, 7, 14, ___ , 30,.......

A | 16 |

B | 17 |

C | 15 |

D | 18 |

Question 25 Explanation:

Combination of two series

1, 3, 7, ?

2, 6, 14, 30

1+2 = 3

3+4=7

7+8 = 15

1, 3, 7, ?

2, 6, 14, 30

1+2 = 3

3+4=7

7+8 = 15

Question 26 |

A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is?

A | Rs. 3800 |

B | Rs. 1900 |

C | Rs. 1500 |

D | Rs. 2850 |

Question 26 Explanation:

Let the total profit be Rs. x

0.05x goes to charity

Out of the remaining 95%

A’s share is 0.95x*3/5 = 0.57x = 855

X = Rs.1500

0.05x goes to charity

Out of the remaining 95%

A’s share is 0.95x*3/5 = 0.57x = 855

X = Rs.1500

Question 27 |

Which of the following pairs of year will not have the same calendar?

A | 2012, 2017 |

B | 2000, 2011 |

C | 2000, 2006 |

D | 2014, 2019 |

Question 27 Explanation:

Calculate the number of odd days between these years
Between 2014 and 2019,

No. of odd days = 6

Hence they have a different calendar

No. of odd days = 6

Hence they have a different calendar

Question 28 |

3251 + 581 + 369 - ? = 3007

A | 1200 |

B | 1375 |

C | 1250 |

D | 1300 |

Question 28 Explanation:

3251

+ 587

369

----

4207

----

Let 4207 - x = 3007

Then, x = 4207 - 3007 = 1200

+ 587

369

----

4207

----

Let 4207 - x = 3007

Then, x = 4207 - 3007 = 1200

Question 29 |

Reward?

A | Sponsorship |

B | Cash |

C | None of these |

D | Student |

Question 29 Explanation:

Explanation: A thing given in recognition of service, effort, or achievement

Question 30 |

Window is to pane as book is to

A | Cover |

B | Novel |

C | Page |

D | Glass |

Question 30 Explanation:

A window is made up of panes, and a book is made up of pages. The answer is not (choice a) because a novel is a type of book. The answer is not (choice b) because glass has no relationship to a book. (Choice c) is incorrect because a cover is only one part of a book; a book is not made up of covers.

Question 31 |

**Statement:**To improve the employment situation in Jndia, there is a need to recast the present educational system towards implementation of scientific discoveries in daily life.

**Assumptions**I) The students after completing such education may be able to earn their livelihood. II) This may bring meaning of education in the minds of the youth.

A | Only I and II are implicit |

B | I is implicit |

C | None is implicit |

D | Only III is implicit |

E | Only I and III are implicit |

Question 31 Explanation:

The statement mentions that such education can improve employment situation. So, both I and II are implicit. Nothing about the aspect of revenue collection is mentioned in the statement. So, III is not implicit

Question 32 |

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women ?

A | 90 |

B | 45 |

C | 63 |

D | 126 |

Question 32 Explanation:

Required number of ways = (

(

(7*6/2*3) = 63

^{7}C_{5}x^{3}C_{2}) =(

^{7}C_{2}x^{3}C_{1}) =(7*6/2*3) = 63

Question 33 |

The number of revolution a wheel of diameter 21cm takes in travelling a distance of 396m is

A | 600 m |

B | 300 m |

C | 150 m |

D | 115 m |

Question 33 Explanation:

No. of revolutions = Distance travelled / Circumference

= 39600 / π d

= 600

= 39600 / π d

= 600

Question 34 |

**Statements:**I) The employees of the biggest bank in the country have given an indefinite strike call starting from the third of the next month II) The employees of the Central Government have withdrawn their week long demonstrations

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

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

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

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

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

Question 34 Explanation:

Both the statements are effects of independent causes

Question 35 |

Two taps A and B can fill a bathtub in 10 minutes and 15 minutes respectively. If A was open for the first two minutes, B for the next two minutes and so on, the bathtub is filled in ?

A | 12.5 minutes |

B | 6 minutes |

C | 12 minutes |

D | 24 minutes |

Question 35 Explanation:

Part of the tub filled in the first 2 minutes = 2*1/10 =1/5
Part of the tub filled in the next 2 minutes = 2*1/15 = 2/15

Part of the filled in 4 minutes = (1/5) +(2/15) =1/3

Time required to fill the tub = 3*4 = 12 minutes

Part of the filled in 4 minutes = (1/5) +(2/15) =1/3

Time required to fill the tub = 3*4 = 12 minutes

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