Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.

A) 16 B) 14
C) 13 D) 15
 
Answer & Explanation Answer: B) 14

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is

A) 4% B) 6%
C) 10% D) 12%
 
Answer & Explanation Answer: C) 10%

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

If a3 + 3a2 + 9a = 1, then what is the value of a3 + (3/a)?

A) 31 B) 26
C) 28 D) 24
 
Answer & Explanation Answer: C) 28

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A shopkeeper purchased some eggs at rs. 19.20 per dozen and sold them at a profit of 25%. What is the selling price per egg?

A) Rs. 2.20 B) Rs. 1.60
C) Rs. 2.00 D) Rs. 1.80
 
Answer & Explanation Answer: C) Rs. 2.00

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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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:

If two successive discounts of 50% and 10% are offered, then what is the net discount (in %)?

A) 50 B) 55
C) 60 D) 65
 
Answer & Explanation Answer: B) 55

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Q:

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

A) 38 B) 46
C) 42 D) 36
 
Answer & Explanation Answer: B) 46

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

What is the value of √[(1 ­- cosA)/(1 + cosA)]?

A) cosecA ­- cotA B) cosecA + cotA
C) secA -­ cotA D) secA + cotA
 
Answer & Explanation Answer: A) cosecA ­- cotA

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Filed Under: Simplification
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