Aptitude and Reasoning Questions

Q:

The co-ordinates of the centroid of a triangle ABC are (3,-2). What are the co-ordinates of vertex C if co-ordinates of A and B are (-2,5) and (6,-2) respectively?

A) (-5,-9) B) (5,-9)
C) (5,9) D) (-5,9)
 
Answer & Explanation Answer: B) (5,-9)

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Q:

What is the equation of a line which has 3 as x-intercept and -5 as y-intercept?

A) 3x - 5y = 15 B) 5x - 3y = 15
C) 5x + 3y = 15 D) 3x + 5y = 15
 
Answer & Explanation Answer: B) 5x - 3y = 15

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Q:

The mean of 14 observations is 11. One more observation is included and the new mean becomes 12. The 15th observation is

A) 20 B) 24
C) 26 D) 28
 
Answer & Explanation Answer: C) 26

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Q:

Which of the following quadratic equations has real roots?

A) 3x2 -­ 5x + 2 = 0 B) 3x2 -­ 4x + 2 = 0
C) 4x2 -­ 3x + 2 = 0 D) 5x2 -­ 2x + 2 = 0
 
Answer & Explanation Answer: A) 3x2 -­ 5x + 2 = 0

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Q:

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

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

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Q:

A man covered a certain distance by a train running at the speed of 50 km/hr and covers the same distance back by walking at the speed of 5 km/hr. Ifthe whole journey took 5 hours 30 minutes, then what was the distance (in km) of one side?

A) 30 B) 25
C) 20 D) 18
 
Answer & Explanation Answer: B) 25

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Q:

If x2+1x2 = 98, then x3+1x3 = ?

A) 970 B) 1030
C) -970 D) -1030
 
Answer & Explanation Answer: A) 970

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Q:

If tan4θ + tan2θ = 1 then the value of cos4θ + cos2θ is

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

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