Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

Find the value of  x3 - y3, if x - y = 4 and xy = 12.

A) 198 B) 208
C) 218 D) 228
 
Answer & Explanation Answer: B) 208

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Q:

If ax + by = 1 and bx + ay  = 2aba2+b2 then x2+y2a2+b2 is equal to

A) 1 B) 2
C) 0.5 D) 0
 
Answer & Explanation Answer: A) 1

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Q:

The value of the expression 2(sin6θ+cos6θ) - 3(sin4θ+cos4θ) + 1 is

A) -1 B) 0
C) 1 D) 2
 
Answer & Explanation Answer: B) 0

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Q:

The lengths of diagonals of a rhombus are 24cm and 10cm the perimeter of the rhombus (in cm ) is :

A) 52 B) 56
C) 68 D) 72
 
Answer & Explanation Answer: A) 52

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Q:

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

A) 98 B) 94
C) 90 D) 86
 
Answer & Explanation Answer: C) 90

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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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Q:

The mean of the data 1, 2, 10, 18, 3, 17, 19 is

A) 7 B) 10
C) 17 D) 70
 
Answer & Explanation Answer: B) 10

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