Aptitude and Reasoning Questions

Q:

If 4(4x + 5) > 2x - 1 > 4x - 3, then the value of x is

A) 2 B) 3
C) -2 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

What is the value of √[(1 - sinA)/(1 + sinA)]?

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

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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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Q:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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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:

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

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

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Q:

What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

A) 42 B) 168
C) 84 D) 63
 
Answer & Explanation Answer: C) 84

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Q:

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be

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

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