6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?

A) 2/7	B) 1/7
C) 3/4	D) 4/5

Answer & Explanation Answer: A) 2/7

Explanation:

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Filed Under: Probability

362 77453

Q:

Suppose 0 < θ < 90, then for every θ 4 sin2 θ + 1 is greater than or equal to ?

A) 2	B) 4 sin θ
C) 4 cos θ	D) 4 tan θ

Answer & Explanation Answer: B) 4 sin θ

Explanation:

We know that,

Arithmetic mean ≥ Geometric mean

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Filed Under: Simplification
Exam Prep: Bank Exams

6 77386

Q:

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?

A) 100 m	B) 150 m
C) 190 m	D) 200 m

Answer & Explanation Answer: A) 100 m

Explanation:

Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr

Distance covered in 6 minutes = (1/60) x 6 km = 1/10 km = 100 m

Therefore, Distance between the thief and policeman = (200 – 100) m = 100 m.

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Filed Under: Time and Distance

254 77217

Q:

Find the unit place digit in the given expression.

${(153)}^{144} - {(115)}^{123} - {(111)}^{510} + {(216)}^{25}$

A) 1	B) 5
C) 6	D) 3

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 77083

Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

A) 15/17	B) 17/8
C) 8/17	D) 17/15

Answer & Explanation Answer: C) 8/17

Explanation:

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Exam Prep: Bank Exams

1 76964

Q:

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?

A) 70 kg	B) 75 kg
C) 80 kg	D) 85 kg

Answer & Explanation Answer: D) 85 kg

Explanation:

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.

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Filed Under: Average

267 76952

Q:

Simplify

39.96% of 649.85 $\div$ 13.07 = 45.14 - ?

A) 25	B) 26
C) 27	D) 28

Answer & Explanation Answer: A) 25

Explanation:

This can be easily simplified by Approximation process

Given 39.96% of 649.85 $\div$ 13.07 = 45.14 - ? can be written as

40% of 650 $\div$ 13 = 45 - ?

$\frac{\frac{40 x 650}{100}}{13} = 45 - ? ? = 45 - 20 ? = 25 .$

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

4 76918

Q:

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is :

A) 19	B) 29
C) 39	D) 49

Answer & Explanation Answer: C) 39

Explanation:

Let B's present age = x years. Then, A's present age = (x + 9) years.
(x + 9) + 10 = 2(x - 10)

=> x + 19 = 2x - 20

=> x =39.

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Filed Under: Problems on Ages

359 76794

Quantitative Aptitude - Arithmetic Ability Questions

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