6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the simplified value of

$\frac{1}{\sqrt{17} - \sqrt{16}} - \frac{1}{\sqrt{16} - \sqrt{15}} + \frac{1}{\sqrt{15} - \sqrt{14}} - \frac{1}{\sqrt{14} - \sqrt{13}} + \frac{1}{\sqrt{13} - \sqrt{12}}$ ?

A) 4 – 2√3	B) √17 – 3√2
C) √17 + √12	D) 4 + 2√3

Answer & Explanation Answer: C) √17 + √12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 57189

Q:

From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

A) 1/15	B) 1/221
C) 25/57	D) 35/256

Answer & Explanation Answer: B) 1/221

Explanation:

Let S be the sample space

Then, n(S) = $52 C_{2}$ = 1326.

Let E = event of getting 2 kings out of 4.

n(E) = $\frac{52 * 51}{2 * 1}$ = 6.

$4 C_{2}$

=> $\frac{4 * 3}{2 * 1}$

$P (E) = \frac{n (E)}{n (S)} = \frac{6}{1326} = \frac{1}{221}$

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Filed Under: Probability

44 57134

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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0 57121

Q:

Correct expression of $0.0 \bar{18}$ = ?

A) 1/55	B) 18/100
C) 18/1000	D) 1/66

Answer & Explanation Answer: C) 18/1000

Explanation:

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3 57063

Q:

If $cosθ = 4 / 5$ , then $(secθ + cosecθ) =$

A) 7/5	B) 15/12
C) 35/12	D) 12/5

Answer & Explanation Answer: C) 35/12

Explanation:

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1 56967

Q:

What is the place value of 6 in 64?

A) 6	B) 60
C) 64	D) 10

Answer & Explanation Answer: B) 60

Explanation:

We know that,

● Each digit has a fixed position called its place.

● Each digit has a value depending on its place called the place value of the digit.

● The face value of a digit for any place in the given number is the value of the digit itself

● Place value of a digit = (face value of the digit) × (value of the place).

Hence, the place value of 6 in 64 = 6 x 10 = 60.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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229 56775

Q:

If $p & q = p^{2} + 4 pq - q^{2}$ then find the value of (3 & 6) + (4 & 5).

A) 98	B) 106
C) 116	D) 126

Answer & Explanation Answer: C) 116

Explanation:

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Q:

Mark the odd man out of the series?

1 6 27 124 650

A) 27	B) 124
C) 6	D) 650

Answer & Explanation Answer: D) 650

Explanation:

The given series is 1 6 27 124 650

1

1 + 2 x 2 = 6

6 + 3 x 3 = 27

27 + 4 x 4 = 124

124 + 5 x 5 = 645 (NOT 650)

Hence, the odd man in the given number series is 650.

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Filed Under: Odd Man Out
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11 56699

Quantitative Aptitude - Arithmetic Ability Questions

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