Quantitative Aptitude - Arithmetic Ability Questions

Q:

The angle of elevation of the top of a hill at the foot of the tower is 60 deg and the angle of elevation of the top of the tower from the foot of the hill is 30 deg. If the tower is 50 m high, what is the height of the hill?

A) 100 m B) 120 m
C) 180 m D) 150 m
 
Answer & Explanation Answer: D) 150 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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Q:

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 29160, and Rs 31492.8 respectively, what is the rate of interest?

A) 4 percent B) 8 percent
C) 16 percent D) 13 percent
 
Answer & Explanation Answer: B) 8 percent

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Filed Under: Compound Interest
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Q:

ABC is an equilateral triangle of side 6 cm. If a circle of radius 1 cm is moving inside and along the sides of the triangle, then the locus of the centre of the circle is an equilateral triangle of side is

A) 5 cm B) (6 - 2√3) cm
C) 4 cm D) (3 + √3) cm
 
Answer & Explanation Answer: B) (6 - 2√3) cm

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Filed Under: Area
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Q:

Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?

A) 3√3/2 B) 3√3
C) 9 D) 6
 
Answer & Explanation Answer: A) 3√3/2

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Filed Under: Simplification
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Q:

What is the value of Cot 45° - (1/√3)Cosec 60°?

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

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Filed Under: Simplification
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Q:

cosA/(1 -­ sin A) is equal to

A) (secA -­ tanA) B) (secA + tanA)
C) √[(secA + tanA)] D) √[(secA -­ tanA)]
 
Answer & Explanation Answer: B) (secA + tanA)

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Filed Under: Simplification
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Q:

2sin[(C+D)/2].cos[(C­-D)/2] is equal to

A) sinC ­-  sinD B) cosC + cosD
C) cosC -­ cosD D) sinC + sinD
 
Answer & Explanation Answer: D) sinC + sinD

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Filed Under: Simplification
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Q:

If tan ­-5π/3 = x, then the value of x is

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

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Filed Under: Simplification
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