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 47347

Q:

1, 2, 8, 33, ?

Find the next number in the given series?

A) 148	B) 145
C) 143	D) 141

Answer & Explanation Answer: A) 148

Explanation:

1 x 1 + 1 x 1 = (1 + 1) = 2

2 x 2 + 2 x 2 = (4 + 4) = 8

8 x 3 + 3 x 3 = (24 + 9) = 33

33 x 4 + 4 x 4 = (132 + 16) = 148

148 x 5 + 5 x 5 = (740 + 25) = 765.

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

10 47332

Q:

If (3/2)X = (5/7)Y = (6/5)Z, then what is X : Y : Z?

A) 105 : 50 : 84	B) 24 : 25 : 32
C) 15 : 21 : 25	D) 20 : 42 : 25

Answer & Explanation Answer: D) 20 : 42 : 25

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

16 47129

Q:

Find the dividend if the divisor is (x+2), quotient is (4x-5) and the remainder is 12.

A) 4x2+5x+2	B) 4x2+3x+2
C) 4x2-3x+2	D) 4x2+3x-2

Answer & Explanation Answer: B) 4x2+3x+2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47125

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 47067

Q:

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

534.596 + 61.472 - 496.708 = ? + 27.271

A) 126.631	B) 62.069
C) 72.089	D) 132.788

Answer & Explanation Answer: C) 72.089

Explanation:

534.596 + 61.472 – 496.708 = ? + 27.271

596.068 – 496.708 = ? + 27.271

? = 99.36 – 27.271

? = 72.089.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , GATE

0 47029

Q:

In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he. has offered English or Hindi ?

A) 1/2	B) 3/4
C) 4/5	D) 2/5

Answer & Explanation Answer: D) 2/5

Explanation:

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Filed Under: Probability

76 46829

Q:

In the following question, correct the equation by interchanging two signs.

4 x 3 – 6 ÷ 2 + 7 = 8

A) – and +	B) x and –
C) ÷ and x	D) x and +

Quantitative Aptitude - Arithmetic Ability Questions

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