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:

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

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

Report Error

View Answer Report Error Discuss

Filed Under: Square Roots and Cube Roots

10 3982

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

Report Error

View Answer Report Error Discuss

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.

Report Error

View Answer Report Error Discuss

Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

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,

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

Report Error

View Answer Report Error Discuss

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

9 3968

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

Report Error

View Answer Report Error Discuss

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.

Report Error

View Answer Report Error Discuss

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

13 3954

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:

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains
Exam Prep: Bank Exams

12 3949

Q:

A man wills 40% of his wealth to his wife and rest to his children. What percent of the wealth willed to the wife do the children get?

A) 150	B) 66.6
C) 50	D) 20

Quantitative Aptitude - Arithmetic Ability Questions

Quick Links