Aptitude and Reasoning Questions

Q:

If a + b = 1 and ab = -6, then what is the value of a3+ b3?

A) 17 B) 15
C) 19 D) 13
 
Answer & Explanation Answer: C) 19

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Filed Under: Simplification
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Q:

What is the simplified value of (cosec A – sin A)(sec A – cos A)(tan A + cot A)?

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

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Q:

Which of the following figure will complete the pattern?

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

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Filed Under: Image Analysis
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Q:

If 3a=4b=6c and a+b+c=279 then a2+b2+c2 is equal to

A) 87 B) 39
C) 82 D) 83
 
Answer & Explanation Answer: A) 87

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Filed Under: Square Roots and Cube Roots
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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Q:

If 177 is divided into 3 parts in the ratio 1/2 : 2/3: 4/5, then the second part is

A) 75 B) 45
C) 72 D) 60
 
Answer & Explanation Answer: D) 60

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Q:

The sum of two fractions is 5/6. One of them is 3/4, what is the other fraction?

A) 2/5 B) 1/12
C) 2/2 D) 1/10
 
Answer & Explanation Answer: B) 1/12

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Filed Under: Problems on Numbers
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Q:

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.

 

8,21,60,177,?

 

A) 425 B) 528
C) 525 D) 575
 
Answer & Explanation Answer: B) 528

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Filed Under: Number Series
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