6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

217 x 217 + 183 x 183 = ?

A) 84521	B) 87487
C) 80578	D) 78458

Answer & Explanation Answer: C) 80578

Explanation:

${(217)}^{2} + {(183)}^{2}$

= ${(200 + 17)}^{2} + {(200 - 17)}^{2}$

It is in the form of ${(a + b)}^{2} + {(a - b)}^{2} = 2 (a^{2} + b^{2})$

= 2(40000 + 289) = 80578.

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

22 16983

Q:

The variance of a set of data is 196. Then the standard deviation of the data is

A) +-14	B) 14
C) 96	D) 98

Answer & Explanation Answer: B) 14

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

1 16953

Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions ?

A) 10 sec	B) 11 sec
C) 12 sec	D) 8 sec

Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 16943

Q:

A coach must choose five starters from a team of 12 players. How many different ways can the coach choose the starters ?

A) 569	B) 729
C) 625	D) 769

Answer & Explanation Answer: B) 729

Explanation:

Choose 5 starters from a team of 12 players. Order is not important.

$12 C_{5}$ = 729

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Filed Under: Permutations and Combinations

7 16922

Q:

A number when divided by 779 gives a remainder 47. By dividing the same number by 19, what would be the remainder?

Answer

Number = ( 779 x a) + 47, where "a" is the quotient

= (19 x 41 x a) + (19 x 2) + 9

= 19 x (41a + 2) + 9

= 19 x (New quotient) + 9

$\inline \fn_jvn \therefore$ Required remainder = 9

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Subject: Numbers

26 16891

Q:

The variance of a set of data is 169. Then the standard deviation of the data is

A) +-13	B) 13
C) 69	D) 84.5

Answer & Explanation Answer: B) 13

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

8 16885

Q:

A 12% stock yielding 10% is quoted at:

A) 67	B) 110
C) 112	D) 120

Answer & Explanation Answer: D) 120

Explanation:

To earn Rs. 10, money invested = Rs. 100.

To earn Rs. 12, money invested = $R s . (\frac{100}{10} * 12)$ = Rs. 120.

Market value of Rs. 100 stock = Rs. 120.

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Filed Under: Stocks and Shares

8 16863

Q:

A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?

A) 10	B) 6
C) 8	D) can't be determined

Answer & Explanation Answer: C) 8

Explanation:

u = k , v= 3k

$∴ \frac{2 u v}{u + v} \Rightarrow \frac{2 \times k \times 3 k}{(k + 3 k)} = 12$ => k = 8km/h

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Filed Under: Time and Distance

12 16848

Quantitative Aptitude - Arithmetic Ability Questions

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