6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $\sec θ + \tan θ = 2, then \sec θ - \tan θ = ?$

A) 0.5	B) 1.5
C) 1	D) 0.75

Answer & Explanation Answer: A) 0.5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47516

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 47509

Q:

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

45% of 400+ √? = 56% of 750 - 40% of 350

A) 10000	B) 1000
C) 10201	D) 9801

Answer & Explanation Answer: A) 10000

Explanation:

45/100×400+√?=56/100 ×750 -40/100 ×350

180 + √? = 420 - 140 180 + √? = 280 √? = 280 - 180 √? = 100 ? = 1002 ? = 10000

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Filed Under: Percentage

1 47409

Q:

If x = 4 + √15, then what is the value of $[x^{2} + (1 / x^{2})]$ ?

A) 62	B) 64
C) 34	D) 36

Answer & Explanation Answer: A) 62

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47359

Q:

$\frac{196}{0.196} = \frac{19.6}{x}$ then what will be the value of x?

A) 1.96	B) 10.96
C) 0.0196	D) 0.196

Answer & Explanation Answer: C) 0.0196

Explanation:

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0 47338

Q:

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

I. √(64) + √(0.0064) + √(0.81) + √(0.0081) = 9.07
II. √(0.010201) + √(98.01) + √(0.25) = 11.51

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

Answer & Explanation Answer: A) Only I

Explanation:

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Exam Prep: Bank Exams

0 47297

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 47274

Q:

In the following question, select the odd word pair from the given alternatives.

A) Vehicle – Car	B) Scooter – Vehicle
C) Truck – Vehicle	D) Bus – Vehicle

Quantitative Aptitude - Arithmetic Ability Questions

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