Aptitude and Reasoning Questions

Q:

For triangle ABC, find equation of median AD if co­-ordinates of points A, B and C are (2,­4), (3,0) and (5,­2) respectively?

A) 3x -­ 2y = 14 B) 3x -­ 2y = 2
C) 3x + 2y = 14 D) 3x + 2y = 2
 
Answer & Explanation Answer: A) 3x -­ 2y = 14

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Q:

If the roots of the equation a(b  c)x2 + b(c  a)x + c(a  b) = 0 are equal, then which of the following is true?

A) b = ( a + c)/ ac B) 2/ b = (1/ a) + (1/ c)
C) 2 b = (1/ a) + (1/ c) D) abc = ab + bc + ca
 
Answer & Explanation Answer: B) 2/ b = (1/ a) + (1/ c)

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Q:

From the given answer figures, select the one in which the question figure is hidden/embedded.

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

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Q:

P, Q, R and S are playing a game of carrom. P, R and S, Q are partners. 'S' is to the right of 'R'. If 'R' is facing West, then 'Q' is facing which direction?

A) North B) South
C) East D) West
 
Answer & Explanation Answer: A) North

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos(A - B) = ?

A) 297/425 B) 304/425
C) 87/425 D) 416/425
 
Answer & Explanation Answer: A) 297/425

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Q:

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30 deg with the ground. How high on the wall does the ladder reach?

A) 10 m B) 17.32 m
C) 34.64 m D) 3 m
 
Answer & Explanation Answer: A) 10 m

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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:

Volume of a cube is 512 cubic cm, find its total surface area? (Take π = 22/7)

A) 768 sq cms B) 192 sq cms
C) 384 sq cms D) 576 sq cms
 
Answer & Explanation Answer: C) 384 sq cms

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