6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

x and y are two numbers such that their mean proportion is 8 and third proportion is 512. What is the value of x and y?

A) 2 and 16	B) 2 and 32
C) 4 and 32	D) 4 and 16

Answer & Explanation Answer: B) 2 and 32

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT

4 1744

Q:

The difference between compound interest and simple interest on a sum for 2 year at 20% per annum is Rs 200. If the interest is compounded half yearly, then what is the difference (in Rs) between compound and simple interest for 1st year?

A) 50	B) 75
C) 100	D) 150

Answer & Explanation Answer: A) 50

Explanation:

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Filed Under: Simple Interest
Exam Prep: Bank Exams

3 1744

Q:

If x = [1/(√5 + √3)], y = [1/(√7 + √5)] and z = [1/(√7 + √3)], then what is the value of (x + y + z)?

A) 3/4(√7 – √3)	B) √5 – √3
C) √7 + √5	D) 1/2(√7 + √3)

Answer & Explanation Answer: A) 3/4(√7 – √3)

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

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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one	B) Only two
C) Only three	D) Infinitely many

Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

D, E, F are the mid - points of the sides BC , CA and AB respectively of a ΔABC . Then the ratio of the areas of ΔDEF and ΔABC is

A) 1/2	B) 1/4
C) 1/8	D) 1/16

Answer & Explanation Answer: B) 1/4

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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Q:

A truck covers a distance of 550 metres in one minute where as a bus covers a distance of 33 km in 3/4 hours. Then the ratio of their speeds is :

A) 1:3	B) 2:3
C) 3:4	D) 1:4

Answer & Explanation Answer: C) 3:4

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

3 1742

Q:

A triangular prism has 9 edges. How many vertices does it have?

A) 8	B) 6
C) 12	D) 10

Answer & Explanation Answer: B) 6

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If α and β are the roots of the equation $x^{2} + x - 1 = 0$ , then what is the equation whose roots are $α^{5} and β^{5}$ ?

A) x2 + 7x – 1 = 0	B) x2 – 7x – 1 = 0
C) x2 – 11x – 1 = 0	D) x2 + 11x – 1 = 0

Quantitative Aptitude - Arithmetic Ability Questions

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