6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

$2 \sec^{2} A$ is equal to

A) (1 - tanA)2 - (1 + tanA)2	B) √[(1 - tanA)2 + (1 + tanA)2 ]
C) √[(1 - tanA)2 - (1 + tanA)2]	D) (1 - tanA)2 + (1 + tanA)2

Answer & Explanation Answer: D) (1 - tanA)2 + (1 + tanA)2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2609

Q:

The ratio of volume of a cone to that of a cylinder if cylinder radius is reduced by 4 times and its height increased by 8 times of that of the cone, is -

A) 3:2	B) 2:3
C) 5:7	D) 7:5

Answer & Explanation Answer: B) 2:3

Explanation:

Ans. Let radius of the base and height of the cone be ‘r’ & ‘h’ respectively.

Then volume of cone = πr2h/3 For cylinder, radius is reduced by 4 times = r/4 And, height is increased by 8 folds = 8h Volume of cylinder = πR2H = π(r/4)2 (8h) = (16/8)πr2h = πr2h/2 Ratio of volume of cone to volume of cylinder = (πr2h/3) : (πr2h/2) Or, Ratio = 2 : 3.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: AIEEE , Bank Exams , GATE

1 2608

Q:

Mohit buys an old bicycle for Rs 2700 and spends Rs 500 on its repairs. If he sells the bicycle for Rs 3520, then what is his profit percentage?

A) 10	B) 12.5
C) 15	D) 20

Answer & Explanation Answer: A) 10

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

(91 + 92 + 93 + ......... +110) is equal to

A) 4020	B) 2010
C) 6030	D) 8040

Answer & Explanation Answer: B) 2010

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

5 2605

Q:

In a match of 50 overs, team A’s average runs for first thirty overs was 4.5 runs/over while for the remaining 20 overs the average was 5.5 runs/over. Team B chased the target and lost by 10 runs. Find the average runs per over scored by team B. (team B played all the 50 overs).

A) 4.4	B) 5.2
C) 4.7	D) 4.6

Answer & Explanation Answer: C) 4.7

Explanation:

Total runs scored by team

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT

4 2604

Q:

If $\frac{a}{b + c} = \frac{b}{c + a} = \frac{C}{b + a}$ then which one of the following statements is correct?

A) Each fraction is equal to 1 or -1	B) Each fraction is equal to 1/2 or 1
C) Each fraction is equal to 1/2 or -1	D) Each fraction is equal to 1.2 only

Answer & Explanation Answer: C) Each fraction is equal to 1/2 or -1

Explanation:

a/(b+c) = b/(c+a) = c/(a+b)

Taking reciprocal and adding 1 to each ratio we get;

(b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1

Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c

So this can only be equal when a=b=c or a+b+c = 0

When a=b=c we get

a/(b+c)= ½When a+b+c = 0 we get

b+c = -a

So a/(b+c) = -1

So the ratios are ½ or -1

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Sum of cubes of first n even natural numbers.

Answer

Proof of Sum of cubes of first n even natural numbers ::

sum_of_cubes_of_first_n_even_natural_numbers1556603651.png image

Hence, in other words, the sum of the first n cubes is the square of the sum of the first n natural numbers.

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Subject: Simplification Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

4 2603

Q:

If the measure of the interior angle of a regular polygon is $180^{0}$ , then how many sides does it have?

A) 6	B) 8
C) 9	D) 5

Quantitative Aptitude - Arithmetic Ability Questions

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