Quantitative Aptitude - Arithmetic Ability Questions

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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Filed Under: Simplification
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Q:

Which of the following is correct?

A) (6x + y)(x - 6y) = 6x^2+ 35xy - 6y^2 B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2
C) (6x + y)(x - 6y) = 6x^2- 37xy - 6y^2 D) (6x + y)(x - 6y) = 6x^2+ 37xy - 6y^2
 
Answer & Explanation Answer: B) (6x + y)(x - 6y) = 6x^2- 35xy - 6y^2

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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 distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at a speed of 35km/h and 25km/h, respectively. If the cars run in the same direction, then they will meet after ( in hours)

A) 6.5 B) 6.2
C) 6 D) 6.52
 
Answer & Explanation Answer: C) 6

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Filed Under: Time and Distance
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Q:

The volume of metallic cylindrical pipe of uniform thickness is 748 c.c. Its length is 14 cm and its external radius is 9 cm. The thickness of the pipe is

A) 0.5 cm B) 1.5 cm
C) 1 cm D) 2 cm
 
Answer & Explanation Answer: C) 1 cm

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Filed Under: Volume and Surface Area
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Q:

ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

A) 1 : 4 B) 1 : 2
C) 1 : 8 D) 1 : 16
 
Answer & Explanation Answer: D) 1 : 16

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Filed Under: Volume and Surface Area
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Q:

ABCD is a cyclic quadrilateral DBA=50° and ADE=33°, then the measurement of BCD is

A) 83° B) 80°
C) 75° D) 60°
 
Answer & Explanation Answer: A) 83°

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Q:

If cosec π/4 - ­ sin π/3 = x, then the value of x is

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

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