Quantitative Aptitude - Arithmetic Ability Questions

Q:

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A) 2:3 B) 4:9
C) 3:2 D) 9:4
 
Answer & Explanation Answer: C) 3:2

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Filed Under: Time and Work
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Q:

How many three digit numbers are there in which all the digits are odd?

A) 100 B) 125
C) 500 D) 250
 
Answer & Explanation Answer: B) 125

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Filed Under: Problems on Numbers
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Q:

The largest 5 digit number exactly divisible by 84 is:

A) 99960 B) 99955
C) 99952 D) 99956
 
Answer & Explanation Answer: A) 99960

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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:

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

A) 9 B) 12
C) 25 D) 27
 
Answer & Explanation Answer: D) 27

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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 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:

What is the reflection of the point (-0.5, 6) in the x-axis?

A) (0.5, -6) B) (-6, -0.5)
C) (6, -0.5) D) (-0.5, -6)
 
Answer & Explanation Answer: D) (-0.5, -6)

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Filed Under: Area
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