Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man goes to a place on bicycle at speed of 16 km/hr and comes back at lower speed . If the average speed is 6.4 km/hr in total , then the return speed (in km/hr) is

A) 10 B) 8
C) 6 D) 4
 
Answer & Explanation Answer: D) 4

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Filed Under: Time and Distance
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Q:

What should be the average speed of the car to cover a distance of 342 km in 1.9 hours?

A) 180 m/s B) 90 m/s
C) 50 m/s D) 100 m/s
 
Answer & Explanation Answer: C) 50 m/s

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Q:

A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?

A) 10 B) 15
C) 20 D) 60
 
Answer & Explanation Answer: B) 15

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Q:

a and b are irrational numbers such that a+b = q is a rational number; then a­b is

A) always rational B) sometimes rational
C) always irrational D) some times irrational
 
Answer & Explanation Answer: C) always irrational

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Filed Under: Problems on Numbers
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Q:

The measure of the four successive angles of a quadrilateral are in the ratio 7 : 11 : 7 : 11. The quadrilateral is a ______.

A) trapezium B) rectangle
C) parallelogram D) square
 
Answer & Explanation Answer: C) parallelogram

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Filed Under: Volume and Surface Area
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Q:

Chandan travelled equal distance with speed of 3 kmph, 4 kmph and 8kmph and takes a total time of 42.5 min. Find the total distance in km.

A) 4 B) 2
C) 1 D) 3
 
Answer & Explanation Answer: D) 3

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Q:

There is 40% increase in an amount in 10 years at simple interest. What will be the compound interest of Rs. 30000 after 3 years at the same rate?

A) Rs 3745.92 B) Rs 7491.84
C) Rs 9364.8 D) Rs 5618.88
 
Answer & Explanation Answer: A) Rs 3745.92

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Filed Under: Simple Interest
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