Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio between the speeds of two buses is 11:9. If the second bus runs 270 kms in 15 hours, then the speed of the first bus is?

A) 23 km/hr B) 11 km/hr
C) 2 km/hr D) 22 km/hr
 
Answer & Explanation Answer: D) 22 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

10 persons can do a job in X days. If 20 persons with twice the efficiency can do the same job in 5 days, then find the value of X?

A) 40 B) 15
C) 20 D) 30
 
Answer & Explanation Answer: C) 20

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

 

A) 30 days B) 25 1/2 days
C) 26 2/3 days D) 26 1/5 days
 
Answer & Explanation Answer: C) 26 2/3 days

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Filed Under: Time and Work
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:

In a class of 56 students there are 28 girls. The average weight of these girls is 46 kg and average weight of the full class is 51 kgs. What is the average weight of the boys of the class?

A) 55 B) 56
C) 53 D) 54
 
Answer & Explanation Answer: B) 56

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Filed Under: Average
Exam Prep: Bank Exams

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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:

sinA/(1 + cos A) is equal to

A) (cosecA -­ cotA) B) (cosecA + cotA)
C) √[(cosecA ­- cotA)] D) √[(cosecA + cotA)]
 
Answer & Explanation Answer: A) (cosecA -­ cotA)

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Filed Under: Simplification
Exam Prep: Bank Exams

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