Aptitude and Reasoning Questions

Q:

The value of x for which the expressions 15x + 4 and 13x - 2 become equal is ______

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

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Filed Under: Simplification
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Q:

What is the value of (2 - sin30°) ?

A) 3/2 B) 3/√2
C) 2-√3 D) (2√3-√6)/2√2
 
Answer & Explanation Answer: A) 3/2

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Q:

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

A) 240 B) 480
C) 120 D) 720
 
Answer & Explanation Answer: A) 240

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Filed Under: Ratios and Proportions
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Q:

The weights of 4 boxes are 30, 20, 50 and 90 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes and in a combination a box can be used only once?

A) 200 B) 190
C) 140 D) 160
 
Answer & Explanation Answer: A) 200

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Filed Under: Arithmetical Reasoning
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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.

144, 256, 400, ?

A) 441 B) 576
C) 625 D) 289
 
Answer & Explanation Answer: B) 576

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Filed Under: Number Series
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Q:

Given that the polynomial (x2+ ax+ b) leaves that same remainder when by (x –1) or (x + 1) What are the values of a and b respectively?

A) 4 and 0 B) 0 and 3
C) 3 and 0 D)  0 and any interger
 
Answer & Explanation Answer: D)  0 and any interger

Explanation:

Since x^2+ ax + b when divided by x-1 or x+1 leaves the same remainder

So on putting x=1 and x=-1 we get the same value

1+a+b = 1-a+b

2a=0

a=0

here b can take any value as it will always get cancelled out

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Q:

The lengths of the two diagonals of a rhombus are 5 cm and 12 cm. Find its area (in cm2)

A) 30 B) 15
C) 60 D) 45
 
Answer & Explanation Answer: A) 30

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Q:

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square . What is the area (in sq.cm) of the shaded region?

 

A) 108.5 B) 94.5
C) 70 D) 120
 
Answer & Explanation Answer: B) 94.5

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Filed Under: Area
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