Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 2x -3(x + 2) < 5 - 2x < -x + 2, then find the value of x.

A) 2 B) 0
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

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Q:

Radius of cross section of a solid right circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is (Take Π = 22/7)

A) 56 cm B) 7 cm
C) 5.6 cm D) 0.7 cm
 
Answer & Explanation Answer: B) 7 cm

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Q:

A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π=22/7)

A) 3√3 : 4 B) 4 : 3√3
C) 3 : 4√3 D) 1 : 12√3
 
Answer & Explanation Answer: A) 3√3 : 4

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Q:

ABCD is a quadrilateral with AB = 9 cm, BC = 40 cm, CD = 28 cm, DA = 15 cm and angle ABC is a right –angel
What is the difference between perimeter of triangle ABC and perimeter of triangle ADC?

A) 4 cm B) 5 cm
C) 6 cm D) 7 cm
 
Answer & Explanation Answer: C) 6 cm

Explanation:
Perimeter of triangle ABC – Perimeter of triangle ADC = (9+40+41) - (15+28+41) = 6 cm
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Q:

ABC is a right angled triangle with angle A = 90 deg. Then the value of cos2A+cos2B+cos2C is

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

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Q:

What is the value of Cot 45° - (1/√3)Cosec 60°?

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

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Q:

What is the value of a-b when a2+b2-6a-6b+18 = 0 ?

A) 0 B) 3
C) 6 D) 9
 
Answer & Explanation Answer: A) 0

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Q:

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

A) 4.25 B) 3.75
C) 4.5 D) 3.45
 
Answer & Explanation Answer: B) 3.75

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