6500+ Quantitative Aptitude Questions and Answers With Explanation

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 47869

Q:

If Sinx = 4/5, then $1 + {Tan}^{2} x =$

A) 9/25	B) 25/16
C) 4/25	D) 25/9

Answer & Explanation Answer: D) 25/9

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 47795

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
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15 47784

Q:

Find the appropriate value of '?' in ${(14.998)}^{3} = ?$

A) 3573	B) 4096
C) 3378	D) 3374

Answer & Explanation Answer: D) 3374

Explanation:

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Exam Prep: Bank Exams

0 47703

Q:

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

12.5 × 3.2 × 8.8 = ?

A) 358	B) 355
C) 354	D) 356

Answer & Explanation Answer:

Explanation:

12.5 × 3.2 × 8.8 = 352

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0 47677

Q:

A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

Actual price = Rs. (25 + 2.50) = Rs. 27.50.

Saving = 2.50

Percentage Saving = [(2.50/27.50)*100]

= 2500/275

= $9 \frac{1}{11}$ %

$\approx 9$ %

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Filed Under: Percentage

111 47662

Q:

Find the next number in the given number series?

50, 51, 47, 56, 40, ?

A) 58	B) 65
C) 76	D) 81

Answer & Explanation Answer: B) 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

$50 50 + 1^{2} = 51 51 - 2^{2} = 47 47 + 3^{2} = 56 56 - 4^{2} = 40 40 + 5^{2} = 65$

Hence, the next number in the given number series is 65.

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3 47618

Q:

Find the odd man out of the series given

8, 16, 20, 36, 68

A) 68	B) 36
C) 20	D) 16

Answer & Explanation Answer: D) 16

Explanation:

The given number series is 8, 16, 20, 36, 68

8

8 x 2 - 4 = 12 (NOT 16)

12 x 2 - 4 = 20

20 x 2 - 4 = 36

36 x 2 - 4 = 68

Hence, the odd man in the given series is 16.

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16 47569

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