6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages?

Answer

Let A's age 10 years ago be x years . Then B's age 10 years ago be 2x years

$\Rightarrow \frac{x+10}{2x+10}=\frac{3}{4}$

$\Rightarrow4(x+10)=3(2x+10)$

$\Rightarrow x=5$

$\therefore$ Total of their present ages = x + 10 + 2x + 10

= 3x+20

= 3 * 5 + 20 = 35 years

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Subject: Problems on Ages

5 5443

Q:

A student council of 5 members is to be formed from a selection pool of 6 boys and 8 girls.How many councils can have Jason on the council?

A) 715	B) 725
C) 419	D) 341

Answer & Explanation Answer: A) 715

Explanation:

If Jason is on th ecouncil,this reduces the selction pool to only 13 people,out of which we still need to select 4.

So, $13 C_{4}$ = 715

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Filed Under: Permutations and Combinations

1 5438

Q:

Mohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much amount does he spend on food and insurance policy together?

A) Rs. 2326	B) Rs. 5876
C) Rs. 1741	D) Rs. 3136

Answer & Explanation Answer: D) Rs. 3136

Explanation:

Let total amount = Rs. P

Total expenditure = (23 + 33 + 19 + 16)% of P = 91%ofP

Remaining money = (100 - 91)% of P = 9% of P

But given in the question that,

9% of P = 504

9p/100 = 504

=> P = 50400/9

=> P = Rs. 5600

Required money spent on Food & Insurance = 23 + 33 %

= 56% of 5600

= 56 x 5600/100 = 56 x 56 = Rs. 3136

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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5 5437

Q:

The population of a rural region is expected to fall by 2% per year for the next 10 years. If the region’s current population is 100,000, what is the expected population 10 years from now?

A) 81707	B) 91707
C) 61707	D) 71707

Answer & Explanation Answer: A) 81707

Explanation:

i=j/m

FV = PV(1 + i)^n

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

2 5432

Q:

When $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$ is divided by 25 the remainder is:

A) 5	B) 17
C) 7	D) 0

Answer & Explanation Answer: D) 0

Explanation:

Given, $7^{21}$ + $7^{22}$ + $7^{23}$ + $7^{24}$

$7^{21}$ (1 + 7 + 49 + 343)
$7^{21}$ (400)

Now, 400 is divisible by 25. The remainder will be 0

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

2 5428

Q:

How long will it take $3000 to earn $60 interest at 6%?

A) 2months	B) 3months
C) 4months	D) 5months

Answer & Explanation Answer: C) 4months

Explanation:

t=I/pr

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

3 5426

Q:

In a box, there are 9 blue, 6 white and some black stones. A stone is randomly selected and the probability that the stone is black is ¼. Find the total number of stones in the box?

A) 15	B) 18
C) 20	D) 24

Answer & Explanation Answer: C) 20

Explanation:

We know that, Total probability = 1

Given probability of black stones = 1/4

=> Probability of blue and white stones = 1 - 1/4 = 3/4

But, given blue + white stones = 9 + 6 = 15

Hence,

3/4 ----- 15

1 ----- ?

=> 15 x 4/3 = 20.

Hence, total number of stones in the box = 20.

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Filed Under: Probability
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16 5423

Q:

The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ?

A) 37/64	B) 27/56
C) 11/13	D) 9/8

Answer & Explanation Answer: A) 37/64

Explanation:

Probability of not hitting the ball = 1- 1/4 = IBPS RRB Clerk Level Quiz : Quantitative Aptitude | 11 -09 - 17
Then, the probability that the batsman will hit the ball =

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Filed Under: Probability
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