Quantitative Aptitude - Arithmetic Ability Questions

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:

The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?

A) 88.24 B) 106.71
C) 92.15 D) 112.64
 
Answer & Explanation Answer: C) 92.15

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Filed Under: Height and Distance
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Q:

The weights of two iron balls are 3.5 kg and 7.5 kg. What is the percentage weight of the 1st ball with respect to 2nd ball.

A) 46 2/3% B) 35%
C) 46 1/3% D) 45%
 
Answer & Explanation Answer: A) 46 2/3%

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Filed Under: Percentage
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Q:

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?

A) 77 B) 79
C) 81 D) 83
 
Answer & Explanation Answer: B) 79

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Filed Under: Simplification
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Q:

What will be the average of the first 5 positive even numbers divisible by 9?

A) 50 B) 54
C) 48 D) 62
 
Answer & Explanation Answer: B) 54

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Filed Under: Ratios and Proportions

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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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Q:

XYZ is right angled at Y. If tanX = 24/7, then what is the value of cotZ ?

A) 25/7 B) 24/25
C) 7/24 D) 24/7
 
Answer & Explanation Answer: D) 24/7

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Filed Under: Simplification
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Q:

If 35% of (x + y) = 40% of (x – y), then x is what percentage of y?

A) 1500 B) 150
C) 15 D) 105
 
Answer & Explanation Answer: A) 1500

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Filed Under: Percentage
Exam Prep: Bank Exams , CAT

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