Aptitude and Reasoning Questions

Q:

If a + b = 1, then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

A) 1 B) 2
C) 4 D) 0
 
Answer & Explanation Answer: D) 0

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Q:

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A) ab B) a2+b2
C) a2-b2 D) 1
 
Answer & Explanation Answer: B) a2+b2

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Q:

Starting from a point, a person travels 3 km towards east and turns left and travels 4 km. Then again he turns to left by 45° and moves straight. Which direction is he facing now?

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

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Q:

Select the odd letters from the given alternatives.

A) UTS B) PNM
C) KIH D) FDC
 
Answer & Explanation Answer: A) UTS

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Q:

If (2)#* 4 = 2 and (4)#* 4 = 16, then what is the value of A in (6)#* A = 18?

A) 12 B) 14
C) 16 D) 20
 
Answer & Explanation Answer: A) 12

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Filed Under: Mathematical Operations
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Q:

If x2+1x2-6, then find the value of 2x(x-1)x3-x2-x+1

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: B) 1

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Q:

ΔXYZ is right angled at Y. If m∠X = 30 deg, then find the value of (sinZ + √3).

A) 4/√3 B) 5/√3
C) 4/3 D) 3√3/2
 
Answer & Explanation Answer: D) 3√3/2

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Q:

Vineet travels 16 km towards west, turns right and travels another 12 km, and then takes two successive left turns covering 8 km and 12 km in each turn respectively. Finally, he takes a right turn and travels 10km further. How far is he now from his original position ?

A) 46 km B) 34 km
C) 40 km D) 38 km
 
Answer & Explanation Answer: B) 34 km

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