6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?

A) 4,12,480	B) 3,67,500
C) 5,44,700	D) 2,98,948

Answer & Explanation Answer: B) 3,67,500

Explanation:

Let the total population be 'p'

Given ratio of male and female in a city is 7 : 8

In that percentage of children among male and female is 25% and 20%

=> Adults male and female % = 75% & 80%

But given adult females is = 156800

=> 80%(8p/15) = 156800

=> 80 x 8p/15 x 100 = 156800

=> p = 156800 x 15 x 100/80 x 8

=> p = 367500

Therefore, the total population of the city = p = 367500

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

75 20887

Q:

The difference between simple interest and compound interest on Rs. 1200 for one year at 10% per annum reckoned half yearly is

A) Rs.2.50	B) Rs.3
C) Rs.4	D) Rs.4.50

Answer & Explanation Answer: B) Rs.3

Explanation:

S.I

= Rs.(1200x10x1/100)

= Rs.120.

C.I

= Rs[(1200x1+5/100)² -1200]

= Rs.123.

Difference

= Rs.[123-120]

= Rs. 3.

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Filed Under: Compound Interest
Exam Prep: GRE

29 20855

Q:

The ratio of the father's age to the son's age is 3 : 1. The product of their ages is 147. The ratio of their ages after 5 years will be?

Answer

Let father's age be 3x and son's age be x years

$\Rightarrow 3x\times x=147$

$\Rightarrow x^{2}=49\Rightarrow x=7$

Father's age after 5 years = 3x + 5 = 26 years

Son's age after 5 years = x + 5 = 12 years

$\therefore$ Ratio of father's and son's ages = 26 : 12 = 13 : 6

Workspace

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Subject: Problems on Ages

89 20843

Q:

When A, B and C are deployed for a task , A and B together do 70% of the work and B and C together do 50% of the work. who is most efficient?

A) A	B) B
C) C	D) can't be determined

Answer & Explanation Answer: A) A

Explanation:

A + B= 70%

B + C =50%

$[∵ (A + B) + (B + C) - (A + B + C) = B]$

=> B= 20% A= 50% and C=30%

Hence A is most efficient

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Filed Under: Time and Work

31 20841

Q:

What value should come in place of the question mark (?) in the following question?

$1637 + 1832 = 45^{2} + {(?)}^{2}$

A) 38	B) 42
C) 46	D) 54

Answer & Explanation Answer: A) 38

Explanation:

3469 = 2025+?x?
? x ?= 3469-2025
? x ?= 1444
? = 38

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 20837

Q:

A student multiplied a number by 2/5 instead of 5/2. What is the percentage error in evaluation ?

A) 52%	B) 64%
C) 84%	D) 77%

Answer & Explanation Answer: C) 84%

Explanation:

Let the number be 'x'

Then, according to the given data,

$\frac{\frac{5}{2} x - \frac{2}{5} x}{\frac{5}{2} x} x 100$

= $\frac{21}{25} x 100$

= 84%

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Filed Under: Percentage
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

14 20834

Q:

In two triangles, the ratio of the areas is 4 : 3 and the ratio of their heights is 3 : 4. Find the ratio of their bases.

A) 13:9	B) 16:9
C) 15:9	D) 14:9

Answer & Explanation Answer: B) 16:9

Explanation:

Let the bases of the two triangles be x and y and their heights be 3h and 4h respectively.
Then, $\frac{\frac{1}{2} \times x \times 3 h}{\frac{1}{2} \times y \times 4 h} = \frac{4}{3} \Rightarrow \frac{x}{y} = \frac{4}{3} \times \frac{4}{3} = \frac{16}{9}$

Required ratio = 16 : 9.

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

24 20822

Q:

The average value of property of Mittal, Ambani and Singhania is Rs.11111 crore. The property of Singhania is as less than the property of Mittal is greater than the average property of both the Singhania and Mittal. The value of property of Ambani is :

A) Rs.111 crore	B) Rs. 1111 crore
C) Rs. 11111 crore	D) can't be determined

Answer & Explanation Answer: C) Rs. 11111 crore

Explanation:

$\frac{M + A + S}{3} = 11111$

also $\frac{S + M}{2} = 11111$ ( $∵$ M - 11111 = 11111 - S)

=>A = 11111

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Filed Under: Average

13 20814

Quantitative Aptitude - Arithmetic Ability Questions

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