6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A certain sum is invested for 2 years in scheme M at 20% p.a. compound interest (compounded annually), Same sum is also invested for the same period in scheme N at k% p.a. simple interest. The interest earned from scheme M is twice of that earned from scheme N. What is the value of k?

A) 7	B) 11
C) 9	D) 13

Answer & Explanation Answer: B) 11

Explanation:

Interest earned in scheme M =

$P [{(1 + \frac{20}{100})}^{2} - 1] = \frac{11 P}{25}$

Interest earned in scheme N =

$\frac{P x k x 2}{100} = \frac{P k}{50}$

Now, from the given data,

$\frac{11 P}{25} = 2 x \frac{P k}{50}$

k = 11

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 4045

Q:

Find the average of first 50 natural numbers?

A) 25	B) 25.5
C) 26	D) 26.5

Answer & Explanation Answer: B) 25.5

Explanation:

We Know that sum of the n natural numbers = $\frac{n (n + 1)}{2}$

Then sum of 50 natural numbers= $\frac{50 (51)}{2}$ = 1250

Average of the 50 natural numbers = $\frac{1250}{50}$ = 25.5

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Filed Under: Average
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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22 4043

Q:

If $a = \frac{\sqrt{5} + 1}{\sqrt{5} - 1} b = \frac{\sqrt{5} - 1}{\sqrt{5} + 1} t h e n f i n d t h e v a l u e o f [\frac{a^{2} + a b + b^{2}}{a^{2} - a b + b^{2}}] i s : :$

A) 3/4	B) 4/3
C) 3/5	D) 5/3

Answer & Explanation Answer: B) 4/3

Explanation:

By simplifying, we get 4/3

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

7 4043

Q:

In how many different ways can the letters of the word 'POVERTY' be arranged ?

A) 2520	B) 5040
C) 1260	D) None

Answer & Explanation Answer: B) 5040

Explanation:

The 7 letters word 'POVERTY' be arranged in $7 P_{7}$ ways = 7! = 5040 ways.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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13 4042

Q:

Find the compound interest on Rs. 2680 at 8% per annum for 2 years ?

A) Rs. 664.21	B) Rs. 548.68
C) Rs. 445.95	D) Rs. 692.57

Answer & Explanation Answer: C) Rs. 445.95

Explanation:

We know Compound Interest = C.I. = P1+r100t - 1

Here P = 2680, r = 8 and t = 2

C.I. = 26801 + 81002-1= 268027252-12= 26802725+12725-1= 2680 5225×225

= (2680 x 52 x 2)/625

= 445.95

Compound Interest = Rs. 445.95

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Filed Under: Compound Interest
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12 4034

Q:

If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

A) 5	B) 15/8
C) 8/15	D) 16/3

Answer & Explanation Answer: D) 16/3

Explanation:

x : y = 8 : 15
If y = 10, x = 8/15 X 10
y = 16/3

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Filed Under: Simplification
Exam Prep: Bank Exams

2 4032

Q:

If the side of square is increased by 6%, then what will be the percentage increase in its area?

A) 3.2	B) 12.04
C) 12.12	D) 12.36

Answer & Explanation Answer: D) 12.36

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

2 4023

Q:

Calculate the periodic interest rate corresponding to:9.0% compounded quarterly

A) 3.45	B) 2.25
C) 5.25	D) 6.25

Quantitative Aptitude - Arithmetic Ability Questions

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