6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If a – (1/a) = b, b – (1/b) = c and c – (1/c) = a, then what is the value of (1/ab) + (1/bc) + (1/ca)?

A) – 3	B) – 6
C) – 1	D) – 9

Answer & Explanation Answer: A) – 3

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Filed Under: Simplification
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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

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Filed Under: Ratios and Proportions
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Q:

A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)

A) 1166.4 metres	B) 1458 metres
C) 777.6 metres	D) 972 metres

Answer & Explanation Answer: D) 972 metres

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Filed Under: Area
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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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Q:

A train travelling at the speed of 66 kmph crosses a 300 m long platform in 24 seconds. How long was the train?

A) 140 m	B) 240 m
C) 160 m	D) 180 m

Answer & Explanation Answer: B) 240 m

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Filed Under: Problems on Trains
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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
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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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Q:

If the hour hand of a clock moves by 18 deg then by how many degrees does the minute hand move during the same time?

A) 168	B) 216
C) 276	D) 196

Quantitative Aptitude - Arithmetic Ability Questions

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