Quantitative Aptitude - Arithmetic Ability Questions

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 factory buys 10 machines. 2 Machine­A, 3 Machine­B and rest Machine­C. Prices of the machines are Rs 95000, Rs 60000 and Rs 50000 respectively. What is the average cost of these machines?

A) 62000 B) 68333
C) 74666 D) 60500
 
Answer & Explanation Answer: A) 62000

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Q:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

A) 5 B) 10
C) 20 D) 22
 
Answer & Explanation Answer: C) 20

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Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m B) 30(√3-1) m
C) 30(√3+1) m D) 60(√3-1) m
 
Answer & Explanation Answer: C) 30(√3+1) m

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Q:

If [a + (1/a)]2  2[a  (1/a)] = 12, then which of the following is a value of 'a'?

A) – 8 + √3 B) – 8 – √3
C) – 8 + √5 D) None of these
 
Answer & Explanation Answer: D) None of these

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Q:

What is the value of tan 4π/3?

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

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Q:

Expand and simplify (x + 4)2 + (x -­ 2)2

A) 2(x2 + 2x + 10) B) 2(x2 + 2x -­ 10)
C) 2(x2 -­ 2x + 10) D) 2(x2 -­ 2x ­- 10)
 
Answer & Explanation Answer: A) 2(x2 + 2x + 10)

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Q:

If x-1x = 10, then find the value of x4+1x2

A) 98 B) 100
C) 102 D) 106
 
Answer & Explanation Answer: C) 102

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