6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 3A = 2B = 4C; then what is A : B : C?

A) 3 : 2 : 4	B) 6 : 4 : 3
C) 4 : 6 : 3	D) 2 : 3 : 4

Answer & Explanation Answer: C) 4 : 6 : 3

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

4 3311

Q:

The value of

$\left [ \frac{2^{n}+2^{n-1}}{2^{n+1}-2^{n}} \right ]$ is:

Answer

$\frac{2^{n} + \frac{2^{n}}{2}}{2 x 2^{n} - 2^{n}} = \frac{2^{n} (1 + \frac{1}{2})}{2^{n} (2 - 1)} = \frac{3}{2}$

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

20 3309

Q:

If $x \times y = x + y + \sqrt{x y}$ , the value of 6x24 is:

A) 41	B) 42
C) 43	D) 44

Answer & Explanation Answer: B) 42

Explanation:

$G i v e n x \times y = x + y + \sqrt{x y} H e r e x = 6, y = 24 T h e n, x \times y = 6 + 24 + \sqrt{6 x 24} 6 x 24 = 30 + \sqrt{144} = 30 + 12 = 42 .$

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT
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7 3305

Q:

From well shuffled standard pack of 52 playing cards,one card is drawn. What is the probability that it is either a red card or black card?

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

Answer & Explanation Answer: C) 1

Explanation:

P(red cards)=26/52

P(black cards)=26/52

P(red or black cards)=26/52+26/52=1

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Filed Under: Probability

1 3303

Q:

A person sold his pen for Rs 24 and his profit percentage was numerically equal to the cost price. What was the cost price (in Rs) of the pen?

A) 12	B) 14
C) 16	D) 20

Answer & Explanation Answer: D) 20

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

6 3301

Q:

The perimeter of a rectangle whose length is 6 m more than its breadth is 84 m. What will be the area of the rectangle?

A) 333 sq.mts	B) 330 sq.mts
C) 362 sq.mts	D) 432 sq.mts

Answer & Explanation Answer: D) 432 sq.mts

Explanation:

Let the breadth of the rectangle = b mts

Then Length of the rectangle = b + 6 mts

Given perimeter = 84 mts

2(L + B) = 84 mts

2(b+6 + b) = 84

2(2b + 6) = 84

4b + 12 = 84

4b = 84 - 12

4b = 72

b = 18 mts

=> Length = b + 6 = 18 + 6 = 24 mts

Now, required Area of the rectangle = L x B = 24 x 18 = 432 sq. mts

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Filed Under: Area
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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20 3298

Q:

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

A) 1/3	B) 1/2
C) 1/4	D) 1/6

Answer & Explanation Answer: B) 1/2

Explanation:

Total number of elementary events = 52

There are 26 red cards,out of which one red card can be drawn in $26 C_{1}$ ways =26.

So,required probability = 26/52 = 1/2

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Filed Under: Probability

3 3293

Q:

In a bag, there are 8 red, 7 blue and 6 green flowers. One of the flower is picked up randomly. What is the probability that it is neither red nor green ?

$A) \frac{1}{3}$

$B) \frac{8}{21}$

$C) \frac{6}{21}$

$D) \frac{20}{21}$

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: A) Option A

Explanation:

Total number of flowers = (8+7+6) = 21.

Let E = event that the flower drawn is neither red nor green.

= event taht the flower drawn is blue.

--> n(E)= 7

--> P(E)= $\frac{7}{21}$ = $\frac{1}{3}$

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams
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8 3290

Quantitative Aptitude - Arithmetic Ability Questions

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