6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the ratio of the areas of the incircle and circumcircle of a square ?

A) 1 : 4	B) 4 : 1
C) 2 : 1	D) 1 : 2

Answer & Explanation Answer: D) 1 : 2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2} x$ .

Radius of incircle = x/2 and radius of circumcircle = $\frac{\sqrt{2} x}{2}$ . k11482389216.png image

Therefore, required ratio = $(\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2})$ = $\frac{1}{4} : \frac{1}{2} = 1 : 2$

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Filed Under: Area
Exam Prep: CAT
Job Role: Bank Clerk

22 14311

Q:

In how many ways can 5 letters be posted in 4 letter boxes?

A) 512	B) 1024
C) 625	D) 20

Answer & Explanation Answer: B) 1024

Explanation:

First letter can be posted in 4 letter boxes in 4 ways. Similarly second letter can be posted in 4 letter boxes in 4 ways and so on.

Hence all the 5 letters can be posted in = 4 x 4 x 4 x 4 x 4 = 1024

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Filed Under: Permutations and Combinations

9 14308

Q:

A sector of 120 degrees, cut out from a circle, has an area of 66/7 sq cm. Find the radius of the circle.

A) 1cm	B) 2cm
C) 3cm	D) 4cm

Answer & Explanation Answer: C) 3cm

Explanation:

$πr = \frac{66}{7}$

r =3

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

13 14280

Q:

0.1 decates ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya’s age will beat her daughter’s age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]

A) 8:1	B) 10:2
C) 11:4	D) 13:4

Answer & Explanation Answer: D) 13:4

Explanation:

Let, Ages of Vijaya and Simran – 1 year ago was 4A and A years correspondingly.
Then, [(4A + 1) + 6] – [(A + 1) + 6] = 9
3A = 9 => A = 3

Needed Ratio = (4A + 1) : (A + 1) = 13 : 4

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Filed Under: Problems on Ages

21 14263

Q:

Find the next number in the series 3, 4, 5, 5, 12, 13, 7, 24, 25, 8, 15, ...

A) 26	B) 16
C) 17	D) 18

Answer & Explanation Answer: C) 17

Explanation:

The pattern is $3^{2} + 4^{2} = 5^{2}$ , $5^{2} + 12^{2} = 13^{2}$ , $7^{2} + 24^{2} = 25^{2}$

The next number = $8^{2} + 15^{2} = 17^{2}$

i.e. 17

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Filed Under: Numbers
Exam Prep: CAT , Bank Exams
Job Role: Bank PO , Bank Clerk

27 14233

Q:

If 34 men completed 2/5th of a work in 8 days working 9 hours a day. How many more man should be engaged to finish the rest of the work in 6 days working 9 hours a day ?

A) 101 men	B) 112 men
C) 102 men	D) 120 men

Answer & Explanation Answer: C) 102 men

Explanation:

From the above formula i.e (m1 x t1/w1) = (m2 x t2/w2)

so, [(34 x 8 x 9)/(2/5)] = [(M x 6 x 9)/(3/5)]

so, M = 136 men

Number of men to be added to finish the work = 136-34 = 102 men.

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

14 14230

Q:

P, Q, and R can do a job in 12 days together. If their efficiency of working be in the ratio 3 : 8 : 5, Find in what time Q can complete the same work alone?

A) 36 days	B) 30 days
C) 24 days	D) 22 days

Answer & Explanation Answer: A) 36 days

Explanation:

Given the ratio of efficiencies of P, Q & R are 3 : 8 : 5

Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively

They can do work for 12 days.

=> Total work = 12 x 16x = 192x

Now, the required time taken by Q to complete the job alone = $\frac{162 x}{8 x} = 24$ days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

17 14196

Q:

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?

A) 17	B) 19
C) 13	D) 11

Answer & Explanation Answer: C) 13

Explanation:

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

14 14187

Quantitative Aptitude - Arithmetic Ability Questions

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