6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $4^{(x + y)} = 256 and {(256)}^{(x - y)} = 4$ , then what is the value of x and y?

A) 17/8, 15/8	B) 17/4, 15/4
C) 9/17, 15/17	D) 8/17, 8/15

Answer & Explanation Answer: A) 17/8, 15/8

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If cos 45° - sec 60° = x, then the value of x is

A) (√3-4)/2√3	B) 1
C) (1-2√2)/√2	D) (√3+√2)/2

Answer & Explanation Answer: C) (1-2√2)/√2

Explanation:

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Filed Under: Simplification
Job Role: Bank Clerk

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Q:

Two numbers are 30% and 60% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 75 percent	B) 42.86 percent
C) 30 percent	D) 50 percent

Answer & Explanation Answer: A) 75 percent

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If 6 years are subtracted from the present age of Ayush and takes 25% of that then we get the present age of his only son. 4 years ago, his daughter’s age is 7 years more than his son. Sum of daughter’s present age and his wife’s present age is 10 years more than Ayush’s present age then find the present age of Ayush if average of present age of entire family is 30.25 yr?

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

Answer & Explanation Answer: B) 50 year

Explanation:

Let the present age of Ayush be x yr.

Present age of his son =

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Filed Under: Problems on Ages
Exam Prep: CAT , Bank Exams , AIEEE

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Q:

A thief drives his motor cycle at a speed of x kmph. The Policemen started chasing him in a jeep after 4 hrs and catches in 4 hrs. If the speed of jeep of policemen is 40 kmph, then calculate the speed of thief's motorcycle in kmph?

A) 30	B) 36
C) 45	D) 20

Answer & Explanation Answer: D) 20

Explanation:

Given that, speed of thief motorcycle is x kmph .

Given that, policemen started chasing him after 4 hours and catches him in 4 hours.

Distance travelled by the thief in 4 + 4 = 8 hours is d = s t

=> d = 8x kms

Distance covered by the police in 4 hours is

D = 4 x 40 = 160 kms

To catch the thief, distance covered by the thief is equal to distance covered by the police .

Therefore,

d = D

d = 8x = 160

x = 160/8 = 20

x = 20 kmph

Hence, the speed of thief's motorcycle is 20 km/hr.

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

In how many different ways could couples be picked from 6 men and 9 women ?

A) 26	B) 54
C) 52	D) 28

Answer & Explanation Answer: B) 54

Explanation:

Number of mens = 8

Number of womens = 5

Different ways could couples be picked = ${}^{6}C_{1} \times {}^{9} C_{1}$ = 9 x 6 = 54 ways.

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

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Q:

Find the odd one out ?

A) A	B) B
C) C	D) D

Answer & Explanation Answer: A) A

Explanation:

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Filed Under: Odd Man Out

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Q:

The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?

A) 63 : 36	B) 23 : 62
C) 63 : 2	D) 63 : 23

Quantitative Aptitude - Arithmetic Ability Questions

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