Quantitative Aptitude - Arithmetic Ability Questions

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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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

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

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

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Q:

If k is the largest possible real number such that p4+q4=(p2+kpq+q2)(p2-kpq+q2), then the value of k is

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

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Q:

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

A) 21 cm B) 14 cm
C) 7 cm D) 28 cm
 
Answer & Explanation Answer: A) 21 cm

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Q:

If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?

A) 54 cm B) 9 cm
C) 27 cm D) 13.5 cm
 
Answer & Explanation Answer: C) 27 cm

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Filed Under: Volume and Surface Area
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Q:

A pipe can fill a sump with water in 2 hours. Because of a leak, it took 2 2/3 hrs to fill the sump. The leak can drain all the water of the sump in

A) 8 hrs B) 15 hrs
C) 6 hrs D) 11 hrs
 
Answer & Explanation Answer: A) 8 hrs

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

If the number x3331 is divisible by 11, what is the face value of x?

A) 4 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: B) 2

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Filed Under: Problems on Numbers
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Q:

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A) 65 km/h B) 70 km/h
C) 75 km/h D) 80 km/h
 
Answer & Explanation Answer: C) 75 km/h

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