Quantitative Aptitude - Arithmetic Ability Questions

Q:

When 0.151515.....is converted into a fraction, then the result is

A) 5/33 B) 17/33
C) 9/11 D) 7/33
 
Answer & Explanation Answer: A) 5/33

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

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Q:

The area of a semicircle is 308 sq.cm. Calculate its perimeter (in cm)

A) 144 B) 49
C) 98 D) 72
 
Answer & Explanation Answer: D) 72

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Q:

The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is

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

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Q:

A certain sum of money becomes 4 times of itself in 30 years at a rate of simple interest. In how many years it will become double of itself at the same rate of simple interest?

A) 20 B) 15
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

A) 9 B) 12
C) 25 D) 27
 
Answer & Explanation Answer: D) 27

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The point R(a,b) is first reflected in origin to R1 and R1 is reflected in X-axis to (-5,1). The co-ordinates of point R are?

A) (5,-1) B) (-1,5)
C) (1,-5) D) (5,1)
 
Answer & Explanation Answer: D) (5,1)

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

A) 210 B) 140√3
C) 210√3 D) 150
 
Answer & Explanation Answer: A) 210

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Filed Under: Height and Distance
Exam Prep: Bank Exams

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