Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

A) sin (A/2) cos A B) cot (A/2)
C) tan (A/2) D) sin A cos (A/2)
 
Answer & Explanation Answer: C) tan (A/2)

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Q:

If cosA = x, then x is

A) √(1 - cos2A) B) √(1 + sin2A)
C) √(1 + cos2A) D) √(1 - sin2A)
 
Answer & Explanation Answer: D) √(1 - sin2A)

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Q:

A truck covers a distance of 550 metres in one minute where as a bus covers a distance of 33 km in 3/4 hours. Then the ratio of their speeds is :

A) 1:3 B) 2:3
C) 3:4 D) 1:4
 
Answer & Explanation Answer: C) 3:4

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Filed Under: Ratios and Proportions
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Q:

A sum fetched a total simple interest of Rs. 8100 at the rate of 6% per year in 9 years. What is the sum?

A) Rs 15000 B) Rs 18000
C) Rs 12000 D) Rs 9000
 
Answer & Explanation Answer: A) Rs 15000

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Q:

A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B and C finish it, working all together?

A) 6 days B) 5 1/4 days
C) 4 4/11 days D) 4 days
 
Answer & Explanation Answer: D) 4 days

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Filed Under: Time and Work
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Q:

If 2x + 5 > 2 + 3x and 2x -­ 3 ≤ 4x -­ 5, then x can take which of the following values?

A) -2 B) 2
C) -4 D) 4
 
Answer & Explanation Answer: B) 2

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Q:

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

 

A) 30 B) 20
C) 26 D) 34
 
Answer & Explanation Answer: D) 34

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Filed Under: Area
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Q:

What is the value of (sinA -­ 2sin3A)/(2cos3A -­ cosA)?

A) cotA B) cosecA
C) secA D) tanA
 
Answer & Explanation Answer: D) tanA

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