6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the average of first 50 natural numbers?

A) 25	B) 25.5
C) 26	D) 26.5

Answer & Explanation Answer: B) 25.5

Explanation:

We Know that sum of the n natural numbers = $\frac{n (n + 1)}{2}$

Then sum of 50 natural numbers= $\frac{50 (51)}{2}$ = 1250

Average of the 50 natural numbers = $\frac{1250}{50}$ = 25.5

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Filed Under: Average
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22 3175

Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10	B) 20
C) 40	D) 80

Answer & Explanation Answer: D) 80

Explanation:

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 3173

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 3169

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 3168

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
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8 3167

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 3162

Q:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

A) 5 lit	B) 3 lit
C) 8 lit	D) 2 lit

Answer & Explanation Answer: A) 5 lit

Explanation:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4 => Quantity of milk in Jar A = 5/9 x 36 = 20 litres Quantity of water in Jar A = 36 - 20 = 16 litres Let quantity of water in Jar B = x litres => Quantity of milk in Jar B = (20 - x) litres Acc. to ques, =>[20 + (20-x)]/(16+x) = 5/3 => 120−3x = 80+5x => 5x +3x = 120−80 => 8x = 40 => 5 litres.

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Filed Under: Alligation or Mixture

1 3157

Q:

Calculate the effective interest rate compounded quarterly of a 13% annual rate.

A) 13.65%	B) 14.665%
C) 15.65%	D) 16.65%

Quantitative Aptitude - Arithmetic Ability Questions

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