Quantitative Aptitude - Arithmetic Ability Questions

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:

A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?

A) 493 B) 7
C) 14 D) 983
 
Answer & Explanation Answer: B) 7

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Q:

If x2 + ax + b, when divided by x + 3, leaves a remainder of -1 and x2 + bx + a, when divided by x - 3, leaves a remainder of 39, then a+ b = ?

 

A) -14 B) -38
C) 14 D) 38
 
Answer & Explanation Answer: C) 14

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Q:

The angle of elevation of the top of a tower from two horizontal points (in opposite sides) at distances of 25 meter and 64 meter from the base of tower are x and 90° - x respectively . The height of the tower will be

A) 39 m B) 89 m
C) 1.6 m D) 40 m
 
Answer & Explanation Answer: D) 40 m

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Q:

If (tanA + tanB)/(1 ­ tanAtanB) = x, then the value of x is

A) tan(A + B) B) tan(A -­ B)
C) cot(A + B) D) cot(A ­- B)
 
Answer & Explanation Answer: A) tan(A + B)

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Q:

What is the value of cot210°?

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

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Q:

What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?

A) 67 B) 45
C) -30 D) -48
 
Answer & Explanation Answer: C) -30

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Q:

If (8 - 10x) - (13x - 2) = -9, then the value of x is

A) -19/23 B) 19/23
C) -1/23 D) 1/23
 
Answer & Explanation Answer: B) 19/23

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