Aptitude and Reasoning Questions

Q:

Of the 5 numbers whose average is 78, the first is 2/11 times the sum of other 4. The first number is

A) 90 B) 40
C) 60 D) 120
 
Answer & Explanation Answer: C) 60

Explanation:
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Q:

A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was

A) Rs 84 B) Rs 83
C) Rs 68 D) Rs 100
 
Answer & Explanation Answer: D) Rs 100

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Filed Under: Average
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Q:

If 17/3 + [3(2x - 5/3)]/2 = 1/6, then what is the value of x?

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

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Filed Under: Simplification
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Q:

Two equal circles intersect such that each passes through the centre of the other. If the length of the common chord of the circles is 10√3 cm, then what is the diameter of the circle?

A) 10 cm B) 15 cm
C) 20 cm D) 30 cm
 
Answer & Explanation Answer: C) 20 cm

Explanation:

Let there be 2 circles with centre O1 and OAB is the common chord

Since both passes through the center of each other as shown in figure

So O1O is the radius of both

Let O1O = r = AO1= AO

AX = AB / 2 = 5√3 cm (since OX perpendicular to chord bisects it)

AOO1 forms an equilateral triangle with on side = radius = r

Sin 60 = √3/2 = AX / AO = 5√3/r

So r = 10 cm

So diameter = 20 cm

 

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Q:

If x2 + (1/x2) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1?

A) -9 B) 0
C) 1 D) 9
 
Answer & Explanation Answer: C) 1

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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: C) 3

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Filed Under: Image Analysis

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Q:

Area of circle is equal to the area of a rectangle having perimeter of 50 cms. and length more than the breadth by 3 cms. What is the diameter of the circle?

A) 7 cms B) 21 cms
C) 28 cms D) 14 cms
 
Answer & Explanation Answer: D) 14 cms

Explanation:

Let the breadth of rectangle be x cm => Length of rectangle = (x+3) cm Now, perimeter =2(x+x+3) = 50 => 2x + 3 = 25 => x = 11 Thus, breadth = 11 cm and length = 14 cm Area of circle = Area of rectangle =>pi * r* r = 14 * 11 =>r*r = 14 * 11 * 7/22 =>r = 7 cm Diameter = 2 * 7 = 14 cm

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Filed Under: Area

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Q:

Which of the Answer figures is the correct water image for the given Problem figure ?

A) A B) B
C) C D) D
 
Answer & Explanation Answer: C) C

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Filed Under: Image Analysis

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