6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

In the following question, select the odd word from the given alternatives.

A) Sea	B) Ocean
C) Lake	D) Marsh

Answer & Explanation Answer: D) Marsh

Explanation:

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Filed Under: Odd Man Out
Exam Prep: Bank Exams

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Q:

Value of $(4 a^{2} + 12 ab + 9 b^{2}) / (2 a + 3 b)$ is

A) 2a - 3b	B) 2a + 3b
C) 2a	D) 3b

Answer & Explanation Answer: B) 2a + 3b

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm	B) 15 cm
C) 20 cm	D) 30 cm

Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The third proportional of two numbers 9 and 15 is

A) 21	B) 30
C) 25	D) 45

Answer & Explanation Answer: C) 25

Explanation:

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Filed Under: Ratios and Proportions
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 can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

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

Answer & Explanation Answer: D) 1/2

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

What is the remainder when 2468 is divided by 37?

A) 26	B) 36
C) 18	D) 14

Answer & Explanation Answer: A) 26

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Filed Under: Problems on Numbers
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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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