6500+ Quantitative Aptitude Questions and Answers With Explanation

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 57006

Q:

30% of a number is 33. What is the number?

A) 120	B) 115
C) 105	D) 110

Answer & Explanation Answer: D) 110

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

3 56966

Q:

If $\frac{7 x + 9 y}{3 x - 4 y} = \frac{19}{8}$ , then the value of x/y is

A) 148/1	B) 1/148
C) 145/1	D) 1/145

Answer & Explanation Answer: A) 148/1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 56877

Q:

Find the wrong number in the given number series?

5, 8, 40, 90, 664

A) 8	B) 40
C) 90	D) 664

Answer & Explanation Answer: B) 40

Explanation:

The given number series is 5, 8, 40, 90, 664

5

5 - 1 x 2 = 8

8 - 3 x 4 = 20 (NOT 40)

20 - 5 x 6 = 90

90 - 7 x 8 = 664

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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15 56874

Q:

Find the next number in the given number series?

11, 5.5, 10, 6.5, 9, ?

A) 6.5	B) 7.5
C) 8.5	D) 10.5

Answer & Explanation Answer: B) 7.5

Explanation:

The given number series follows a pattern that

11

11 - 5.5 = 5.5

5.5 + 4.5 = 10

10 - 3.5 = 6.5

6.5 + 2.5 = 9

9 - 1.5 = 7.5

Hence, the next number in the given number series is 7.5.

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Filed Under: Odd Man Out
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2 56793

Q:

Which of the following statement(s) is/are TRUE?

$I . \frac{\sqrt{225} + \sqrt{441}}{\sqrt{256}} > 2.5 II . \frac{\sqrt{289} + \sqrt{529}}{\sqrt{169}} > 3$

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: B) Only II

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 56698

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 56632

Q:

If x + y + z = 6 and xy + zx + zy = 10, then find the value of $x^{3} + y^{3} + z^{3} - 3 xyz$

A) 16	B) 26
C) 36	D) 46

Quantitative Aptitude - Arithmetic Ability Questions

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