6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

A) (4-√3)/2	B) √2-√3
C) -√3/2	D) (√6-1)/√3

Answer & Explanation Answer: B) √2-√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 39969

Q:

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

A) 20m	B) 25m
C) 22.5m	D) 9m

Answer & Explanation Answer: A) 20m

Explanation:

Distance covered by B in 9 sec. = (100/45)*9m = 20m

A beats B by 20 metres.

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Filed Under: Races and Games

54 39866

Q:

The third proportional to 9 and 12 is ?

A) 14	B) 16
C) 18	D) 20

Answer & Explanation Answer: B) 16

Explanation:

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

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

168 39846

Q:

Solve the following:

$\frac{1}{1 + sinθ} + \frac{1}{1 - sinθ} = ?$

A) 2cos2θ	B) 1
C) 0	D) 2sec2θ

Answer & Explanation Answer: D) 2sec2θ

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 39835

Q:

Assume 57 + 59 + 109 = 0, then find the value of $57^{3} + 59^{3} + 109^{3}$

A) 1099701	B) 1099601
C) 1099801	D) 1098701

Answer & Explanation Answer: A) 1099701

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 39822

Q:

Find the next number in the following number series?

11, 13, 30, 96, ?

A) 264	B) 392
C) 412	D) 459

Answer & Explanation Answer: B) 392

Explanation:

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

Hence, the next number in the given series is 392.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration

6 39817

Q:

3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?

A) 6	B) 9
C) 5	D) 7

Answer & Explanation Answer: D) 7

Explanation:

Let 1 woman's 1 day work = x.

Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4.

So, (3x/2 + 4x + + 6x/4) = 1/7

28x/4 = 1/7 => x = 1/49

1 woman alone can complete the work in 49 days.

So, to complete the work in 7 days, number of women required = 49/7 = 7.

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

92 39793

Q:

What will come in place of question mark in the following equation ?

54.(?)3 + 543 + 5.43 = 603.26

A) 6	B) 1
C) 9	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Let x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83

Quantitative Aptitude - Arithmetic Ability Questions

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