6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?

A) 1260	B) 1400
C) 1250	D) 1600

Answer & Explanation Answer: A) 1260

Explanation:

A team of 6 members has to be selected from the 10 players. This can be done in $10 C_{6}$ or 210 ways.

Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210×6= 1260

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Filed Under: Permutations and Combinations

52 49087

Q:

If $\sin θ = 40 / 41$ , then $c o t θ$ is

A) 40/9	B) 9/40
C) 9/41	D) 41/9

Answer & Explanation Answer: B) 9/40

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 49023

Q:

Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h

A) 90 km/h	B) 160 km/h
C) 67.5 km/h	D) None of these

Answer & Explanation Answer: B) 160 km/h

Explanation:

$\frac{s_{1}}{s_{2}} = \sqrt{\frac{t_{2}}{t_{1}}}$

$\Rightarrow \frac{120}{s_{2}} = \sqrt{\frac{9}{16}} = \frac{3}{4}$

$\Rightarrow$ $s_{2} = 160 k m / h$

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Filed Under: Time and Distance

164 48943

Q:

The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is

A) 101	B) 107
C) 111	D) 185

Answer & Explanation Answer: C) 111

Explanation:

Let the numbers be 37a and 37b. Then , 37a x 37b =4107 => ab = 3.

Now co-primes with product 3 are (1,3)

So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

Therefore, Greater number = 111.

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Filed Under: HCF and LCM

64 48903

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 48855

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 48801

Q:

If $y = 1^{3} + 2^{3} + 3^{3} + 4^{3} + 5^{3} + 6^{3}$ then find the value of y - 1.

A) 429	B) 439
C) 440	D) 441

Answer & Explanation Answer: C) 440

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48722

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 48674

Quantitative Aptitude - Arithmetic Ability Questions

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