6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Solve the following:

$\frac{1}{1 + sinθ} + \frac{1}{1 - sinθ} = ?$

A) 2cos2θ	B) 1
C) 0	D) 2sec2θ

Answer & Explanation Answer: D) 2sec2θ

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 55659

Q:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

A) 3/20	B) 29/34
C) 47/100	D) 13/102

Answer & Explanation Answer: D) 13/102

Explanation:

Let S be the sample space.

Then, n(S) = $52 C_{2}$ =(52 x 51)/(2 x 1) = 1326.

Let E = event of getting 1 spade and 1 heart.

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = $13 C_{1} * 13 C_{1}$ = 169.

P(E) = n(E)/n(S) = 169/1326 = 13/102.

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Filed Under: Probability

95 55625

Q:

${(8)}^{\frac{2}{3}}$ = ?

A) √4	B) 2
C) 4	D) 64

Answer & Explanation Answer: C) 4

Explanation:

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Q:

If $a = \sqrt{5 + 2 \sqrt{2}} & b = \sqrt{5 - 2 \sqrt{2}}$ , then find the value of $a^{2} - b^{2}$ .

A) 2	B) 4
C) 2√2	D) 4√2

Answer & Explanation Answer: D) 4√2

Explanation:

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Q:

The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is

A) 49	B) 154
C) 378	D) 1078

Answer & Explanation Answer: B) 154

Explanation:

The diameter is equal to the shortest side of the rectangle.

So radius= 14/2 = 7cm.

Therefore, $a r e a o f c i r c l e = {πr}^{2} = \frac{22}{7} \times 49 = 154 {cm}^{2}$

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

86 55448

Q:

Find the odd man out of the following number sequence?

3, 5, 13, 43, 167

A) 167	B) 43
C) 13	D) 5

Answer & Explanation Answer: A) 167

Explanation:

The given number series is 3, 5, 13, 43, 167

3

3 x 1 + 2 = 5

5 x 2 + 3 = 13

13 x 3 + 4 = 43

43 x 4 + 5 = 177 (not equal to 167)

Hence, the odd number in the given number sequence is 167.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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3 55400

Q:

Find the odd number in the given number series?

14, 27, 105, 525, 4993

A) 27	B) 105
C) 525	D) 4993

Answer & Explanation Answer: C) 525

Explanation:

The given number series is 14, 27, 105, 525, 4993

14

14 x 2 - 1 = 27

27 x 4 - 3 = 105

105 x 6 - 5 = 625 (not 525)

625 x 8 - 7 = 4993

Hence, the odd man or number in the given number series is 525.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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1 55306

Q:

If $x^{2} = 25^{2} - 15^{2},$ then find the value of x?

A) 40	B) 50
C) 20	D) 25

Quantitative Aptitude - Arithmetic Ability Questions

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