Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cos 45° - ­ sec 30° = x, then value of x is

A) (1+√2)/2 B) (2√2­√3)/2
C) (√3­2√2)/√6 D) 4/√3
 
Answer & Explanation Answer: C) (√3­2√2)/√6

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Q:

If Cos θ = 35/37 , then what is the value of Cot θ?

A) 12/35 B) 35/12
C) 37/12 D) 12/37
 
Answer & Explanation Answer: B) 35/12

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Q:

Find the odd word/letters/number from the given alternatives.

A) ACEG B) KMNP
C) HJLN D) TVXZ
 
Answer & Explanation Answer: B) KMNP

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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:

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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Filed Under: Time and Work
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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:

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 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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