Quantitative Aptitude - Arithmetic Ability Questions

Q:

A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is

A) 25.98 B) 26.58
C) 27.58 D) 27.98
 
Answer & Explanation Answer: C) 27.58

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Filed Under: Simplification
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Q:

If cos 2π/3c = x, then the value of x is

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

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Q:

Given: x -­ 5 ≤ 2x -­ 3 and 2x - ­1/2 ≥ 5x + 2; then x can take which of the following values?

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

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Q:

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

A) 50(3 + √3) B) 100(√3 + 1)
C) 150 D) 100√3
 
Answer & Explanation Answer: A) 50(3 + √3)

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Filed Under: Height and Distance
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Q:

BE and CF are two altitudes of a triangle ABC. If AB = 6 cm , AC = 5 cm and CF = 4 cm , then the length of BE is

A) 4.8 cm B) 7.5 cm
C) 3.33 cm D) 5.5 cm
 
Answer & Explanation Answer: A) 4.8 cm

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Filed Under: Volume and Surface Area
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Q:

The sum of all prime numbers between 58 and 62 is

A) 116 B) 114
C) 120 D) 111
 
Answer & Explanation Answer: C) 120

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Filed Under: Problems on Numbers
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Q:

When 0.151515.....is converted into a fraction, then the result is

A) 5/33 B) 17/33
C) 9/11 D) 7/33
 
Answer & Explanation Answer: A) 5/33

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Filed Under: Decimal Fractions
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Q:

Raja and Kundan together can build a wall in 20 days, Kundan and Mahesh build the same wall in 30 days and Mahesh and Raja can build the same wall in 24 days. In how many days can all the three complete the same wall while working together?

A) 18 B) 16
C) 20 D) 14
 
Answer & Explanation Answer: B) 16

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Filed Under: Time and Work
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