6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height

A) 3 : 7	B) 7 : 3
C) 6 : 7	D) 7 : 6

Answer & Explanation Answer: B) 7 : 3

Explanation:

$\frac{{πr}^{2 h}}{2 {πr}^{2 h}} = \frac{924}{264}$

=> r = (24/364) x 2 = 7m

$2 πrh = 264 \Rightarrow h = (264 \times \frac{7}{22} \times \frac{1}{2} \times \frac{1}{7}) = 6 m$

Required Rato =2r/h =14/6 = 7:3

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Filed Under: Volume and Surface Area

21 15377

Q:

A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?

A) 5 kmph	B) 10 kmph
C) 15 kmph	D) 45 kmph

Answer & Explanation Answer: A) 5 kmph

Explanation:

Speed of the boat downstream s=a/t= 60/3 = 20 kmph

Speed of the boat upstream s= d/t = 30/3= 10 kmph

Therefore, The speed of the stream = $\frac{s p e e d o f d o w n s t r e a m - s p e e d o f u p s t r e a m}{2}$ =5 kmph

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Filed Under: Boats and Streams
Exam Prep: GATE
Job Role: Bank Clerk

34 15371

Q:

A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?

A) 10	B) 6
C) 8	D) can't be determined

Answer & Explanation Answer: C) 8

Explanation:

u = k , v= 3k

$∴ \frac{2 u v}{u + v} \Rightarrow \frac{2 \times k \times 3 k}{(k + 3 k)} = 12$ => k = 8km/h

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Filed Under: Time and Distance

12 15355

Q:

A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?

A) 40%	B) 45%
C) 50%	D) 55%

Answer & Explanation Answer: C) 50%

Explanation:

Number of runs made by running = 120 - (3 x 4 + 8 x 6) = 120 - (60) = 60

Required percentage = [(60/120)*100] % = 50%

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Filed Under: Percentage

30 15351

Q:

In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

A) 6/7	B) 19/21
C) 7/31	D) 5/21

Answer & Explanation Answer: D) 5/21

Explanation:

Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁)

As remaining person can be any one among three couples left.

Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅
= (10 x 6)/252 = 5/21

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

12 15338

Q:

Find the total surface area (in cm2) of a hemisphere of diameter 21 cm.

A) 1039.5	B) 844.5
C) 637	D) 472

Answer & Explanation Answer: A) 1039.5

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

2 15326

Q:

15% of 60 is 45% of __

A) 20	B) 30
C) 180	D) 40

Answer & Explanation Answer: A) 20

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

4 15315

Q:

A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?

A) 2 hrs 10 min	B) 2 hrs
C) 2 hrs 5 min	D) 2 hrs 30 min

Answer & Explanation Answer: B) 2 hrs

Explanation:

|-----------20--------------------|
50 40

Difference = 20kms

Relative Speed = 50 – 40 = 10 kmph

Time = 20/10 = 2 hours.

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

10 15301

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