6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A) 50m	B) 40m
C) 60m	D) 45m

Answer & Explanation Answer: C) 60m

Explanation:

Ans.
Given that length of first train + length of second train = 660
Speed of first train : Speed of second train = 5:8 =5x : 8x
Time taken to cross the poll by two trains = 4:3 =4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , GATE

2 4502

Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75	B) 100
C) 125	D) 150

Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50 <=> x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

0 4501

Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30	B) 35
C) 40	D) 42

Answer & Explanation Answer: C) 40

Explanation:

A alone can do = 20days

Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,

Assume work size of 80 units

1 day work of A= 4 units 1 day work of B= 5 units

Work done by both in 4 days= 4*(5+4)= 36 units

Work left= 80-36= 44 units

Now C takes 22 days to complete= 44 units.

Time taken by C alone to complete the work= 40 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

0 4488

Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7	B) 7:1
C) 2:3	D) 3:2

Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> $\frac{47 x + 31 y}{x + y}$ = 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

= 1:7

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Filed Under: Time and Distance
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

4 4488

Q:

Out of 6 green ball, 4 blue ball, in how many ways we selectone or more balls ?

A) 42	B) 34
C) 31	D) 22

Answer & Explanation Answer: B) 34

Explanation:

7 × 5 = 35

35 – 1 = 34

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Filed Under: Permutations and Combinations

6 4480

Q:

Find the value of $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$ ?

A) 0	B) 1
C) 3	D) 5

Answer & Explanation Answer: C) 3

Explanation:

Given $\sqrt{\frac{1.21 x 0.9}{1.1 x 0.11}}$

= $\sqrt{\frac{1.21 x 100 x 0.9 x 10}{1.1 x 10 x 0.11 x 100}}$

= $\sqrt{9}$

= 3.

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Filed Under: Square Roots and Cube Roots
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

8 4474

Q:

Dianna deposits $725 into a savings account that pays 2.3% simple annual interest. How much interest will Dianna earn after 18 months?

A) 23.01	B) 24.01
C) 25.01	D) 26.01

Answer & Explanation Answer: C) 25.01

Explanation:

I = Prt

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

0 4473

Q:

Odd man out of the series - 15, 19, 27, 38, 55, 75?

A) 27	B) 38
C) 55	D) 75

Answer & Explanation Answer: B) 38

Explanation:

The given series is 15, 19, 27, 38, 55, 75

15

15 + 4 = 19

19 + 8 = 27

27 + 12 = 39

39 + 16 = 55

55 + 20 = 75

Hence, the odd number in the given series is 38.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

5 4470

Quantitative Aptitude - Arithmetic Ability Questions

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