Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

If the population of a town increases by 25% in the first year and increases by 36% in the second year, then what is the average rate (in percentage)of increase in the population?

 

A) 26 B) 30.5
C) 31.66 D) 35
 
Answer & Explanation Answer: D) 35

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Q:

A person while buying a dress on sale spends Rs. 45 and saves Rs. 5, what is the percentage of his savings?

A) 5% B) 10%
C) 15% D) 20%
 
Answer & Explanation Answer: B) 10%

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Q:

Expand and simplify (3x + 2)2*(4x -­ 3) -­ (2x3 - 9x2 + 12x -­ 24)

A) 34x3 + 30x2 -­ 32x -­ 12 B) 34x3 + 30x2 -­ 32x + 12
C) 34x3 -­ 30x2 -­ 32x + 12 D) 34x3 -­ 30x2 + 32x -­ 12
 
Answer & Explanation Answer: B) 34x3 + 30x2 -­ 32x + 12

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Q:

If √(1 + cot2A)/cotA = x, then the value of x is

A) sinA B) cosecA
C) secA D) cosA
 
Answer & Explanation Answer: C) secA

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Q:

If cosAcotA/(1 -­ sinA) = x, then the value of x is

A) 1 -­ cosecA B) 1 + cosecA
C) 1 + secA D) 1 -­ secA
 
Answer & Explanation Answer: B) 1 + cosecA

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Q:

Ramu can row 9 kmph in still water. It takes him twice as long to row up as to row down. Find the rate of stream.

A) 16 kmph B) 8 kmph
C) 3 kmph D) 9 kmph
 
Answer & Explanation Answer: B) 8 kmph

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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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