Quantitative Aptitude - Arithmetic Ability Questions

Q:

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

A) 75 B) 90
C) 85 D) 80
 
Answer & Explanation Answer: A) 75

Explanation:

Diagonal of Square = Side √2= 2.5√2 × √2= 5 cm
Breadth = 5 cm
Length of rectangle = 5 × 3 = 15 cm
Area of rectangle = 15 × 5 = 75 cm2

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Q:

If 14.35 - (1.956 - x ) - 83.92 = 3.858 then what is the value of x?

A) -92.456 B) 75.384
C) 71.472 D) 104.084
 
Answer & Explanation Answer: B) 75.384

Explanation:
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Q:

Find the value of 'a' for which x+3x+a24 is a perfect square.

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

Explanation:
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Q:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

A) 5 B) 10
C) 20 D) 22
 
Answer & Explanation Answer: C) 20

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Q:

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

A) 30° B) 45°
C) 60° D) 90°
 
Answer & Explanation Answer: C) 60°

Explanation:
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

 

A) 11 – 1331 B) 15 – 3375
C) 12 – 1728 D) 14 – 2788
 
Answer & Explanation Answer: D) 14 – 2788

Explanation:
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Q:

Determine the value of y-1y2 when y4+1y4=34

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

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Q:

If θ is acute angle and sin(θ+18°)= 1/2, then the value of θ in circular measure is

A) Π/12 radians B) Π/15 radians
C) 2Π/5 radians D) 3Π/13 radians
 
Answer & Explanation Answer: B) Π/15 radians

Explanation:
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