Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of Sin 30° + Cos 30°?

A) (√6 + 1)/√3 B) (√3 + 2)/√3
C) (1 + √3)/2 D) 5/√3
 
Answer & Explanation Answer: C) (1 + √3)/2

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Q:

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to

A) ab B) a2+b2
C) a2-b2 D) 1
 
Answer & Explanation Answer: B) a2+b2

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Q:

If 3x+22x+1 = a2x+1+bx+2 be an identity, then the value of b

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

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Q:

What is the equation of the line whose y­-intercept is 4 and making an angle of 45° with the positive x-­axis?

A) x + y = -­4 B) x -­ y = 4
C) x + y = 4 D) x -­ y = ­-4
 
Answer & Explanation Answer: D) x -­ y = ­-4

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Q:

If (7x -­ 13) ­ (12x + 3) = 14, then the value of x is ______ .

A) -6 B) 6
C) -2/5 D) 2/5
 
Answer & Explanation Answer: A) -6

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Q:

Rs. x invested at 8% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 7.5% simple interest per annum for 6years. Find x : y.

A) 40:45 B) 5:6
C) 16:15 D) 9:8
 
Answer & Explanation Answer: D) 9:8

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Q:

A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be:

A) π:1 B) 1:π
C) π2:1 D) 1:π
 
Answer & Explanation Answer: A) π:1

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Q:

The ratio of present ages of Rangitha and Shaheen is 6:5. After 12 years the ratio of their ages will be 7:6. What is Rangitha's present age?

A) 60 B) 55
C) 72 D) 28
 
Answer & Explanation Answer: C) 72

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