6500+ Quantitative Aptitude Questions and Answers With Explanation

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 3410

Q:

By selling 90 pens for Rs 80 a man loses 20%. What should be the selling price (in Rs) of 90 pens for 20% profit?

A) 90	B) 100
C) 110	D) 120

Answer & Explanation Answer: D) 120

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

12 3409

Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways.	B) 5,04,020 ways
C) 72,000 ways	D) None of the above

Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways

Remaining 7 letters can be arranged in 7!/3! x 2! ways

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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

3 3409

Q:

What is the unit digit of ${(217)}^{413} \times {(819)}^{547} \times {(414)}^{624} \times {(342)}^{812} ?$

A) 2	B) 4
C) 6	D) 8

Answer & Explanation Answer: D) 8

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

8 3406

Q:

What will be the ratio of simple interest earned by certain amount at the same rate of interestfor 4 years and 6 years ?

A) 1:2	B) 2:1
C) 2:3	D) 3:2

Answer & Explanation Answer: C) 2:3

Explanation:

Let p be the principle amount

And R% be the rate of interest

Then, required ratio = $(\frac{\frac{P \times 4 \times R}{100}}{\frac{P \times 6 \times R}{100}})$

$\Rightarrow \frac{4 P R}{6 P R}$ = 2:3

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

2 3406

Q:

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A) 45	B) 40
C) 35	D) 44

Answer & Explanation Answer: C) 35

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

0 3399

Q:

For a nominal interest rate of 8.4%, what is the compounding frequency if the periodic interest rate is:0.7

A) 9	B) 10
C) 11	D) 12

Answer & Explanation Answer: D) 12

Explanation:

i=j/m

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

0 3397

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 3383

Quantitative Aptitude - Arithmetic Ability Questions

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