# Mu Sigma Quantitative Aptitude Questions And Answers

Mu Sigma Quantitative Aptitude MCQs : This section focuses on "Quantitative Aptitude" for Mu Sigma Exam. These Quantitative Aptitude MCQs are asked in previous Mu Sigma placements/recruitment exams and will help you to prepare for upcoming Mu Sigma drives.

1. The average age of a man and his son is 28 years. The ratio of their ages is 3 :1 respectively. What is the man's age?

A. 30 years

B. 38 years

C. 40 years

D. 42 years

View Answer

Ans : D

Explanation: Total sum of man's age & his son's age =28 Ã— 2 = 56 Now, the Ratio of their ages is 3 : 1.Therefore, Man's age = (3/4) Ã— 56 = 42 So, the correct answer is option D.

2. The sum of two numbers is 14. If the sum of their reciprocals is 7/24, find the numbers:

A. 4,8

B. 8,12

C. 4,10

D. 6,8

View Answer

Ans : C

Explanation: Going by option , option number 3 and 4 will give sum = 14 but 4th option will give l.c.m 24 and third option gives LCM as 20. It has to be the fourth option.

3. Two city express trains are travelling in opposite direction of each other and the distance between them is 160kms. Train A starts at 4 PM with a speed of 30Kmph and train B starts at 5 PM with a speed of 35 Kmph. Find out at what time both the trains will meet each other?

A. 6 PM

B. 7 PM

C. 7 AM

D. 8 PM

View Answer

Ans : B

Explanation: Distance = 160 km

Train A start at 4 PM, Distance travelled till 5 PM = speed X time = 30 x 1 = 30 Km

Remaining Distance = 130 Km

Since, both the trains are moving in opposite direction, therefore the relative speed will be equal to Speed of A + Speed of B = 30=35 = 65 kmph

Now, Time taken to meet = Remaining Distance / Relative Speed

=> 130/65= 2 hrs

So, the trains will meet after 2 hours from 5 PM. Correction answer is Option B

4. The difference between the age of 2 sisters is 15 years. If five years ago, the older sister age is 4 times the younger sister's age, then find out the present ages of both the sisters in years

A. 30, 15

B. 20, 5

C. 25, 10

D. 18, 3

View Answer

Ans : C

Explanation: Let the age of younger sister = X, therefore the age of Older sister = X+15

Now, five years ago age of both sisters is X-5 and X+10

According to question, 4 * (X-5) = X+10 ==> X = 10

Therefore, the present age of both sisters is 25 and 10. Correction answer is Option C

5. What will be the 10th term in series 3,0,-3,- 6?

A. -21

B. -24

C. -27

D. -30

View Answer

Ans : B

Explanation: a=3, d= -3, n=10

we know ,n'th term = a+(n-1)d

=3+(10-1)*(-3)

=3-27 = -24

6. Two dice are thrown simultaneously. What is the probability that the sum of the numbers shown on the two dices will be a prime number?

A. 17/36

B. (1/2)

C. (15/36)

D. (7/18)

View Answer

Ans : C

Explanation: number of sample solution=36

number of possible outcomes=(1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),

(3,2)(3,4)(4,1)(4,3)(5,2)(5,6)(6,1)(6,5)=15

p=15/36

7. A man spends half of his salary on household expenses, 1/4th for rent, 1/5th for travel expenses, the man deposits the rest in a bank. If his monthly deposits in the bank amount 50, what is his monthly salary?

A. Rs 500

B. Rs 1500

C. Rs 1000

D. Rs 900

View Answer

Ans : C

Explanation: Supose x is bank deposit part of salery y. Then

1/2 + 1/4 + 1/5 + x = 1 then x= 1/20

hence y's 20 part is 50.

So y/20 =50

then salery y=1000

8. What is 25% of 30% of 2/5 of 2000 ?

A. 36

B. 40

C. 56

D. 60

View Answer

Ans : D

Explanation: 25% of 30% of 2/5 of 2000 1/4 A- 3/10 A - 2/5 A - 2000 =60

9. 2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 60 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?

A. 40

B. 30

C. 58

D. 60

View Answer

Ans : A

Explanation: Let the Distance Covered by Freight train = Passenger Train = D kms

Speed of Passenger Train = 60 km/hr

Time taken by Passenger Train to Travel distance D = 4 Hrs

Time taken by Freight Train to Travel Distance D = ( 4 + 2 ) = 6 Hrs

Distance = Speed × Time

Distance Freight = Speed Freight × Time Freight ........ (i)

Distance Passenger = Speed Passenger × Time Passenger ........ (ii)

Distance Freight = Distance Passenger

Speed Freight × Time Freight = Speed Passenger × Time Passenger

Speed Freight × 6 = 60 × 4

Speed Freight = 40 km/hr

10. Three close friends Amar, Akbar, and Anthony started their business by investing Rs.12000, 15000, 18000 respectively. Find the share of Akbhar if the profit earned in one year is 22500.

A. 6750

B. 9000

C. 6000

D. 7500

View Answer

Ans : D

Explanation: Ratio of share invested by them is Amar: Akbhar: Anthony = 12000 : 15000 : 18000 = 4 : 5 : 6

Therefore, share of Akbhar in profit = {5 /(4+5+6)} * 22500 = 7500

So the correct answer is Option D

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