6500+ Quantitative Aptitude Questions and Answers With Explanation

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 20843

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 20826

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 20823

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 20816

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 20810

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 20803

Q:

The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

A) 91	B) 910
C) 1001	D) 1911

Answer & Explanation Answer: A) 91

Explanation:

Required number of students = H.C.F of 1001 and 910 = 91

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Filed Under: HCF and LCM

34 20758

Q:

Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank?

A) 48min	B) 72min
C) 24min	D) None of these

Answer & Explanation Answer: C) 24min

Explanation:

Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore,

part filled by tap X in 1 minute = 1/30

part filled by tap Y in 1 minute = 1/40

Tap Z can empty the tank in 60 minutes. Therefore,

part emptied by tap Z in 1 minute = 1/60

Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24

i.e., the tank can be filled in 24 minutes.

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Filed Under: Pipes and Cistern
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

25 20744

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