Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cot ­-4π/3 = x, then the value of x is

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

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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°

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Q:

If Girish's salary is 4/9 times of Harishankar's and Shirish's salary is 5/6 times of Harishankar's, what is the ratio of Girish's salary to Shirish's.

A) 27:10 B) 10:27
C) 8:15 D) 15:8
 
Answer & Explanation Answer: C) 8:15

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Q:

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?

A) 5/2 B) 2/5
C) 5/4 D) 4/5
 
Answer & Explanation Answer: A) 5/2

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Q:

What is the area (in sq cm) of an equilateral triangle of side 6 cm?

A) 36√3 B) 9
C) 36 D) 9√3
 
Answer & Explanation Answer: D) 9√3

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Q:

In an acute-angled triangle ABC is Sin(B+A+C)=32 and tan(C+A-B)=1, then C is equal to

A) 37.5° B) 67.5°
C) 52.5° D) 72.5°
 
Answer & Explanation Answer: C) 52.5°

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Q:

If (x ­- 2) (x -­ p) = x2 - ax + 6, then the value of (a -­ p) is

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

If cos 240° = x, then value of x is

A) -1/√2 B) -√3/2
C) 1/2 D) -1/2
 
Answer & Explanation Answer: D) -1/2

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