6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Consider the following two triangles as shown in the figure below.

Choose the correct statement for the above situation.

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: B) 2

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 47774

Q:

Given w = -2, x = 3, y = 0 & z = -1/2, find the value of $w^{2} \sqrt{(z^{2} + y^{2})}$

A) +-2	B) -2
C) 2	D) 4

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 47706

Q:

A basket contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non defective?

A) 136/345	B) 17/87
C) 316/435	D) 158/435

Answer & Explanation Answer: C) 316/435

Explanation:

$n (s) = {}^{30}C_{2}$

Let A be the event of getting two oranges and

B be the event of getting two non-defective fruits.

and $(A \cap B)$ be the event of getting two non-defective oranges

$∴ P (A) = \frac{{}^{20}C_{2}}{{}^{30}C_{2}}, P (B) = \frac{{}^{22}C_{2}}{{}^{30}C_{2}} a n d P (A \cap B) = \frac{{}^{15}C_{2}}{{}^{30}C_{2}}$

$∴ P (A \cup B) = P (A) + P (B) - P (A \cap B)$

= $\frac{{}^{20}C_{2}}{{}^{30}C_{2}} + \frac{{}^{22}C_{2}}{{}^{30}C_{2}} - \frac{{}^{15}C_{2}}{{}^{30}C_{2}} = \frac{316}{435}$

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Filed Under: Probability

109 47665

Q:

$\frac{{(0.3)}^{3} + {(0.2)}^{3}}{{(0.3 - 0.2)}^{2}} = ?$

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

Answer & Explanation Answer: C) 7/2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47651

Q:

What is the value of $\sqrt[3]{512} + \sqrt{169} + \sqrt[3]{216} + \sqrt{225}$ ?

A) 48	B) 32
C) 42	D) 36

Answer & Explanation Answer: C) 42

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47614

Q:

1 4 27 Sequence ...

Find the next two numbers in the above sequnce?

A) 256 & 3125	B) 3125, 46656
C) 46656, 859587	D) None

Answer & Explanation Answer: A) 256 & 3125

Explanation:

The above given sequence follows a pattern that,

$1 2^{2} = 4 3^{3} = 27 4^{4} = 256 5^{5} = 3125 6^{6} = 46656 and so on . . .$

Therefore, the next two numbers in the given sequence is 256 & 3125.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

6 47500

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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Filed Under: Simplification
Exam Prep: Bank Exams

3 47488

Q:

Use continuity to evaluate the limit.

$\lim_{x \to 12} \frac{8 + x}{8 + x}$

A) 1	B) 2
C) 4	D) 0

Answer & Explanation Answer: A) 1

Explanation:

Since, we have that,

The numerator and denominator is (8+x), which is a polynomial is continuous for all the real numbers i.e. for all x belonging to .

Thus, the limit exists and is given by,

$\lim_{x \to 12} \frac{8 + x}{8 + x} = \frac{8 + 12}{8 + 12} = 1$ .

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

0 47470

Quantitative Aptitude - Arithmetic Ability Questions

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