6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The value of $\frac{\sqrt{80} - \sqrt{112}}{\sqrt{45} - \sqrt{63}}$ is:

A) 3/4	B) 4/3
C) 4/7	D) 7/4

Answer & Explanation Answer: B) 4/3

Explanation:

$\frac{\sqrt{80} - \sqrt{112}}{\sqrt{45} - \sqrt{63}} = \frac{\sqrt{16 \times 5} - \sqrt{16 \times 7}}{\sqrt{9 \times 5} - \sqrt{9 \times 7}} = \frac{4 \sqrt{5} - 4 \sqrt{7}}{3 \sqrt{5} - 3 \sqrt{7}}$

$= \frac{4 (\sqrt{5} - \sqrt{7})}{3 (\sqrt{5} - \sqrt{7})} = \frac{4}{3}$

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Filed Under: Square Roots and Cube Roots

10 3981

Q:

What is the probability that it is either a heart card or diamond card, when a card is drawn from a well shuffled standard pack of 52 playing cards?

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

Answer & Explanation Answer: B) 1/2

Explanation:

P(heart cards)=13/52

P(diamond cards)=13/52

P(heart or diamond)=13/52+13/52=1/2

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Filed Under: Probability

2 3973

Q:

What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520?

A) 3.5%	B) 4%
C) 5%	D) 6.5%

Answer & Explanation Answer: C) 5%

Explanation:

Let 'R%' be the rate of interest

From the given data,

$\frac{2520}{2400} = \frac{{(1 + \frac{R}{100})}^{4}}{{(1 + \frac{R}{100})}^{3}} \Rightarrow (1 + \frac{R}{100}) = \frac{63}{60} \Rightarrow R = 5$

Hence, the rate of interest R = 5% per annum.

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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19 3973

Q:

Simplify $4 \frac{1}{3} + 2 \frac{1}{5} + 4 \frac{1}{4} = ?$

A) 10 47/60	B) 11 45/73
C) 11 47/36	D) 10 35/48

Answer & Explanation Answer: A) 10 47/60

Explanation:

The given equation is in Mixed fraction.

Now to solve this type of fractions,

$4 \frac{1}{3} + 2 \frac{1}{5} + 4 \frac{1}{4} = ? ? = (4 + 2 + 4) + (\frac{1}{3} + \frac{1}{5} + \frac{1}{4}) ? = 10 + \frac{47}{60} ? = 10 \frac{47}{60}$

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

9 3966

Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5	B) 5 : 4
C) 7 : 6	D) 6 : 7

Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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Filed Under: Simple Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

3 3956

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
Job Role: Bank Clerk , Bank PO

13 3953

Q:

A train takes 10 sec to cross a bridge of length 100 m travelling at 90 kmph. Find the length of the train in meters.

A) 130	B) 120
C) 140	D) 150

Answer & Explanation Answer: D) 150

Explanation:

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

12 3947

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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