6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Determine the value of m for which $4 x + \frac{\sqrt{x}}{6} + \frac{m^{2}}{4}$ is a perfect square.

A) 1/24	B) 1/12
C) 12	D) 24

Answer & Explanation Answer: B) 1/12

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50184

Q:

Calculate the value of $\frac{(59881 \times 59881 - 49681 \times 49681)}{10200}$ ?

A) 110956	B) 109562
C) 109652	D) 109662

Answer & Explanation Answer: B) 109562

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50158

Q:

$4 + (\frac{1}{6}) [\{- 10 x (25 - 13 - 3)\} \div (- 5)] = ?$

A) 8	B) 9
C) 6	D) 7

Answer & Explanation Answer: D) 7

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 50027

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 49898

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

165 49698

Q:

Find the next number in the given number series?

2, 19, 0, 21, –2, ?

A) 23	B) 25
C) 27	D) 29

Answer & Explanation Answer: A) 23

Explanation:

The given number series 2, 19, 0, 21, –2, ? follows a pattern,

2

2 + 17 = 19

19 - 19 = 0

0 + 21 = 21

21 - 23 = -2

-2 + 25 = 23

Hence, the next number in the series is 23.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

2 49591

Q:

The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

A) 4	B) 6
C) 8	D) 12

Answer & Explanation Answer: A) 4

Explanation:

Let the required numbers be 33a and 33b.

Then 33a +33b= 528 => a+b = 16.

Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).

Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9)

The number of such pairs is 4

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Filed Under: HCF and LCM

129 49590

Q:

∆DEF is right angled at E. If tanD = 12/5, then what is the value of secF ?

A) 5/12	B) 13/5
C) 5/13	D) 13/12

Quantitative Aptitude - Arithmetic Ability Questions

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