Quantitative Aptitude - Arithmetic Ability Questions

Q:

If [(a2 + b2  + ab)] + [(a2 + b2  ab)] = 1, then what is the value of (1  a2 )(1  b2 )?

A) 1/4 B) 4/7
C) 5/4 D) 3/4
 
Answer & Explanation Answer: D) 3/4

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Q:

Coefficient of x2  in (x + 7)(5 - 3x)(3x - 6) is

A) 96 B) -30
C) 42 D) -18
 
Answer & Explanation Answer: B) -30

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Q:

Expand and simplify (x + 4)2 + (x -­ 2)2

A) 2(x2 + 2x + 10) B) 2(x2 + 2x -­ 10)
C) 2(x2 -­ 2x + 10) D) 2(x2 -­ 2x ­- 10)
 
Answer & Explanation Answer: A) 2(x2 + 2x + 10)

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Q:

If sin ­-330° = x, then the value of x is

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

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Q:

The angles of depression of two ships from the top of a light house are 45° and 30° toward east. If the ships are 200m apart, the height of the light house is (take √3=1.73)

A) 273m B) 270m
C) 253m D) 263m
 
Answer & Explanation Answer: A) 273m

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Q:

On selling 56 chairs, Mohan earns profit equal to the selling price of 6 chairs. What is the profit percentage?

 

A) 9.28 B) 10.71
C) 12 D) 13.7
 
Answer & Explanation Answer: C) 12

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Q:

If 14.35 - (1.956 - x ) - 83.92 = 3.858 then what is the value of x?

A) -92.456 B) 75.384
C) 71.472 D) 104.084
 
Answer & Explanation Answer: B) 75.384

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Q:

Which of the following is correct?

A) (3x -­ 2y)2 = 9x2 -­ 12xy + 4y2 B) (3x -­ 2y)2 = 9x2 -­ 6xy + 4y2
C) (3x + 2y)2 = 9x2 -­ 12xy + 4y2 D) (3x + 2y)2 = 9x2 -­ 6xy + 4y2
 
Answer & Explanation Answer: A) (3x -­ 2y)2 = 9x2 -­ 12xy + 4y2

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