Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x , y, and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0 then (x+y+z) is equal to

A) -12 B) 0
C) 8 D) 12
 
Answer & Explanation Answer: D) 12

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Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8 B) 12
C) 6 D) 15
 
Answer & Explanation Answer: B) 12

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Q:

54% of 4000 is

A) 2025 B) 2172
C) 2232 D) 2160
 
Answer & Explanation Answer: D) 2160

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Q:

The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is

A) 0 B) 4
C) -2 D) 7
 
Answer & Explanation Answer: B) 4

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Q:

If x = 1 + √2 + √3, then the value of x2-2x-4=0

A)  √6 B)  2√3
C)  3√2 D)  2√6 
 
Answer & Explanation Answer: D)  2√6 

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Q:

If (cotA - cosecA)2 = x, then the value of x is

A) (1 - cosA)/(1 + cosA) B) (1 - sinA)/(1 + sinA)
C) (1 - secA)/(1 + secA) D) (1 - cosecA)/(1 + cosecA)
 
Answer & Explanation Answer: A) (1 - cosA)/(1 + cosA)

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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:

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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