6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

A) 55%	B) 65%
C) 75%	D) 85%

Answer & Explanation Answer: C) 75%

Explanation:

Let original radius = R.

New radius = $\frac{50}{100} R$ = $\frac{50}{100} R$

Original area = $\frac{R}{2}$ and new area = ${πR}^{2}$

$\frac{3 {πR}^{2}}{4} * \frac{1}{{πR}^{2}} * 100$

Decrease in area = $π {(\frac{R}{2})}^{2} = \frac{{πR}^{2}}{4}$ = 75%

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

147 58644

Q:

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

A) 3/13	B) 1/13
C) 3/52	D) 9/52

Answer & Explanation Answer: A) 3/13

Explanation:

Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card) = 12/52=3/13.

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Filed Under: Probability

100 58538

Q:

A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

A) 10000	B) 20000
C) 40000	D) 50000

Answer & Explanation Answer: B) 20000

Explanation:

Let sum=Rs.x

C.I. when compounded half yearly = $[x {(1 + \frac{10}{100})}^{4} - x] = \frac{4641}{10000}$

C.I. when compounded annually = $[x {(\frac{20}{100})}^{2} - x] = \frac{11}{25}$

$\frac{4641}{10000} x - \frac{11}{25} x = 482$

=> x=20000

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

278 57988

Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 %	B) 200%
C) 300%	D) 600%

Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000 => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Filed Under: Ratios and Proportions

144 57988

Q:

What is the value of (√2/3 - cosec60)?

A) (√6-6)/3√3	B) (2-2√3)/√3
C) (1-√6)/√2	D) (4-√3)/2√3

Answer & Explanation Answer: A) (√6-6)/3√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 57970

Q:

$Cosec (90 - θ)$

A) tan θ	B) cot θ
C) sec θ	D) cos θ

Answer & Explanation Answer: C) sec θ

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 57955

Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7	B) 4/7
C) 1/8	D) 3/4

Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14 = 4/7.

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Filed Under: Probability

96 57937

Q:

In the below word how many words are there in which R and W are at the end positions?

RAINBOW

A) 120	B) 180
C) 210	D) 240

Answer & Explanation Answer: D) 240

Explanation:

When R and W are the first and last letters of all the words then we can arrange them in 5!ways. Similarly When W and R are the first and last letters of the words then the remaining letters can be arrange in 5! ways.

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