Quantitative Aptitude - Arithmetic Ability Questions

Q:

The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?

A) 12√3 sq cm B) 6√3 sq cm
C) 12√2 sq cm D) 24 sq cm
 
Answer & Explanation Answer: B) 6√3 sq cm

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Q:

A water tank is 2/5 th full. Inlet A can fill the tank in 12 minutes while an outlet pipe B can empty it in 6minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

A) It fills in 4.8 min B) It empties in 4.8 min
C) It fills in 5.6 min D) It empties in 5.6 min
 
Answer & Explanation Answer: B) It empties in 4.8 min

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Filed Under: Pipes and Cistern
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Q:

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

A) 34.64 B) 51.96
C) 69.28 D) 103.92
 
Answer & Explanation Answer: D) 103.92

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

A) 3 B) 4
C) 6 D) 9
 
Answer & Explanation Answer: B) 4

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Q:

The price of an article is discounted by 25%, to restore to its original value, the new price must be increased by

A) 57 percent B) 36.31 percent
C) 71.25 percent D) 33.33 percent
 
Answer & Explanation Answer: D) 33.33 percent

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Filed Under: Percentage
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Q:

What is the value of Sin 30° - Cosec 45°?

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

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Q:

If sin π/6 + sec π/6 = x, then x is

A) (2√2-1)/2 B) 5/√3
C) (√6-1)/√2 D) (√3+4)/2√3
 
Answer & Explanation Answer: D) (√3+4)/2√3

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Q:

The largest 5 digit number exactly divisible by 95 is ______.

A) 99936 B) 99935
C) 99940 D) 99933
 
Answer & Explanation Answer: C) 99940

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Filed Under: Numbers
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