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 49230

Q:

At what time between 9 and 10 o'clock will the hands of a watch be together?

A) (49 + 3/11) min past 11	B) (49 +1/11) min past 9
C) (45 +1/11) min past 9	D) (45 +7/11) min past 11

Answer & Explanation Answer: B) (49 +1/11) min past 9

Explanation:

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.

45 min. spaces are gained in $\frac{60}{55} \times 45$ min or $49 \frac{1}{11}$ min

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

64 49192

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

16 49134

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 49070

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 49008

Q:

Refer the below data table and answer the following question.

What was the total profit or loss of the company in the last 5 years?

A) Loss of Rs 45 crores	B) Profit of Rs 55 crores
C) Profit of Rs 45 crores	D) Loss of Rs 55 crores

Answer & Explanation Answer: C) Profit of Rs 45 crores

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

0 48920

Q:

ΔDEF is right angled at E. If cosecD = 25/24, then what is the value of cosF ?

A) 25/7	B) 24/7
C) 24/25	D) 7/24

Answer & Explanation Answer: C) 24/25

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 48812

Q:

If $a = \sqrt{5 + 2 \sqrt{2}} & b = \sqrt{5 - 2 \sqrt{2}}$ , then find the value of $a^{2} - b^{2}$ .

A) 2	B) 4
C) 2√2	D) 4√2

Quantitative Aptitude - Arithmetic Ability Questions

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