6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $x + \frac{1}{x} : x - \frac{1}{x} = 5 : 3$ then the value of x is

A) +- 1	B) +-2
C) +-3	D) +-4

Answer & Explanation Answer: B) +-2

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Q:

What is the simplified value of $\sin^{2} (90 - θ) - [\sin (90 - θ) sinθ / tanθ]$ ?

A) 1	B) cosec θ
C) 0	D) cos θ

Answer & Explanation Answer: C) 0

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Q:

If a - b = 10 and ab =-21, then what is the value of $a^{3} - b^{3} ?$

A) 316	B) 370
C) 185	D) 158

Answer & Explanation Answer: B) 370

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Q:

Azhar is 4 times as good a workman as Balaraj and therefore is able to finish a job in 45 days less than Balaraj. Working together, they can do it in:

A) 6 days	B) 18 days
C) 24 days	D) 12 days

Answer & Explanation Answer: D) 12 days

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

A) 60	B) 90
C) 72	D) 120

Answer & Explanation Answer: B) 90

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Exam Prep: Bank Exams

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Q:

To cover a distance of 234 km in 1.6 hours what should be the average speed of the car in meters/second?

A) 40.625 m/s	B) 146.25 m/s
C) 73.125 m/s	D) 81.25 m/s

Answer & Explanation Answer: A) 40.625 m/s

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A person crosses a 900 metres wide road in 120 seconds. What is his speed (in km/hr)?

A) 24	B) 21
C) 36	D) 27

Answer & Explanation Answer: B) 21

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Exam Prep: Bank Exams , CAT

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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm	B) 216 sq.cm
C) 144 sq.cm	D) Cannot be determined due to insufficient data

Answer & Explanation Answer: A) 288 sq.cm

Explanation:

Let lengths, breadth and height of cuboid be l, b and h respectively

According to question

l+b+h = 22cm......(i)

and

√(l^2+b^2+h^2) = 14cm .....(ii)

Surface area of cuboid = 2(lb+bh+lh)

Squaring eq (i) gives

l^{2} + b^{2} + h^{2}

Quantitative Aptitude - Arithmetic Ability Questions

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