Quantitative Aptitude - Arithmetic Ability Questions

Q:

Find the length of one side of a rhombus whose area is 24 sq.cm and the sum of the lengths of its diagonals is 14 cm.

A) 3 cm B) 6 cm
C) 4 cm D) 5 cm
 
Answer & Explanation Answer: D) 5 cm

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Q:

 What is the value of (cosec45 + √3/2) ?

A) 5/6 B) (4+√3)/2√3
C) (2√2+√3)/2 D) 3√3/2
 
Answer & Explanation Answer: C) (2√2+√3)/2

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Q:

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

A) 7/2 B) 7
C) 7√2 D) 14
 
Answer & Explanation Answer: B) 7

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Q:

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

A) 150° B) 120°
C) 100° D) 90°
 
Answer & Explanation Answer: B) 120°

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Q:

Expand and simplify (x + 5)2 + (x - 3)2

A) 2(x2 + 2x - 17) B) 2(x2 - 2x + 17)
C) 2(x2 - 2x - 17) D) 2(x2 + 2x + 17)
 
Answer & Explanation Answer: D) 2(x2 + 2x + 17)

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Q:

Find the value of 27a3 + 1a3, if 9a2 + 1a2 = 43

A) 240 B) 280
C) 320 D) 360
 
Answer & Explanation Answer: B) 280

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Q:

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is

A) 17 m B) 27 m
C) 25 m D) 30 m
 
Answer & Explanation Answer: C) 25 m

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Q:

If Cot θ = 21/20, then what is the value of Cosec θ?

A) 21/29 B) 29/21
C) 20/29 D) 29/20
 
Answer & Explanation Answer: D) 29/20

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