6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the common ratio of the following geometric sequence?

4, 2, 1, 0.5, 0.25, 0.125,...

A) 0.5	B) -1
C) 1.5	D) -0.5

Answer & Explanation Answer: A) 0.5

Explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Herein the given sequence, 4, 2, 1, 0.5, 0.25, 0.125,...

Common Ratio r = 2/4 = 1/2 = 0.5/1 = 0.25/0.5 = 0.125/0.25 == 0.5.

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Filed Under: Problems on Numbers
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3 49043

Q:

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

A) Rs. 19.50	B) Rs. 19
C) Rs. 18	D) Rs. 18.50

Answer & Explanation Answer: C) Rs. 18

Explanation:

Let the price of the mixed variety be Rs. x per kg. By the rule of alligation, we have :

Cost of 1 kg of type 1 rice Cost of 1 kg of type 2 rice

$∴$ (20-x)/(x-15) = 2/3

$\Rightarrow$ 60 - 3x = 2x - 30

$\Rightarrow$ x = 18.

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Filed Under: Alligation or Mixture

109 49000

Q:

$4 + (\frac{1}{6}) [\{- 10 x (25 - 13 - 3)\} \div (- 5)] = ?$

A) 8	B) 9
C) 6	D) 7

Answer & Explanation Answer: D) 7

Explanation:

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Filed Under: Simplification
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0 48957

Q:

Calculate the value of $\frac{(59881 \times 59881 - 49681 \times 49681)}{10200}$ ?

A) 110956	B) 109562
C) 109652	D) 109662

Answer & Explanation Answer: B) 109562

Explanation:

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Filed Under: Simplification
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0 48946

Q:

Determine the value of m for which $4 x + \frac{\sqrt{x}}{6} + \frac{m^{2}}{4}$ is a perfect square.

A) 1/24	B) 1/12
C) 12	D) 24

Answer & Explanation Answer: B) 1/12

Explanation:

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Filed Under: Simplification
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0 48932

Q:

If p : q : r = 2 : 3 : 5, then what will be the ratio of (p + q + r) : (3p + q – r)?

A) 5 : 2	B) 10 : 17
C) 9 : 4	D) 5 : 4

Answer & Explanation Answer: A) 5 : 2

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

10 48856

Q:

What will come in place of the question mark (?) in the following questions ?

22% of ? + 166.64 = 340

A) 788	B) 786
C) 784	D) 792

Answer & Explanation Answer: A) 788

Explanation:

(kx22)/100 = 340 - 166.64 = 173.36
k = (173.36 x 100)/22
k = 788

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Filed Under: Numbers
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15 48854

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 48590

Quantitative Aptitude - Arithmetic Ability Questions

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