6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had ?

A) 19	B) 23
C) 17	D) 15

Answer & Explanation Answer: B) 23

Explanation:

If he wants to give these books equally to 2 of his friends, then 1 book will remain, it means possible number of books = 15,17,19,21,23,25,27,29
If he wants to give these books equally to 3 of his friends, then 2 books will remain, it means possible number of books = 17,20,23,26,29
If he wants to give these books equally to 4 of his friends, then 3 book will remain, it means possible number of books = 15,19,23,27
common number is only 23 so it will be answer

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Filed Under: Numbers
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4 4800

Q:

Jaclyn buys $50 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter

A) 1187.50	B) 1234
C) 1289	D) 1345

Answer & Explanation Answer: A) 1187.50

Explanation:

I=(p x r x t)/100

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Filed Under: Simple Interest
Exam Prep: Bank Exams
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0 4793

Q:

The first of April is a Wednesday. What day of the week will it be on the first of May of the same year?

A) Saturday	B) Friday
C) Sunday	D) Monday

Answer & Explanation Answer: B) Friday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

29 4783

Q:

Out of 3 girls and 6 boys a group of three members is to be formed in such a way that at least one member is a girl. In how many different ways can it be done?

A) 64	B) 84
C) 56	D) 20

Answer & Explanation Answer: A) 64

Explanation:

Total number of possible ways = 9C3 = 84 ways

Required atleast one girl in the group of three = total possible ways - ways in which none is girl

None of the members in the group is girl = 6C3 = 20

Therefore, number of ways that at least one member is a girl in the group of three

= 84 - 20

= 64 ways.

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Filed Under: Probability
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14 4782

Q:

A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ?

A) 48 kmph	B) 50 kmph
C) 46 kmph	D) 42 kmph

Answer & Explanation Answer: A) 48 kmph

Explanation:

we know that speed = distance traveled/time taken
let the total distance traveled by the car is 2x km.
then time taken by it to cover first half is x/60 hour.
and for second half is x/40 hour.
Then average speed= total distance travelled / total time taken.

i.e. $\frac{2 x}{[\frac{x}{60} + \frac{x}{40}]}$

=> $\frac{2 x}{\frac{5 x}{120}}$

= 48 kmph.

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Filed Under: Time and Distance
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1 4781

Q:

Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, from the board, a president, a vice-president, a secretary, and a treasurer if the president and secretary must be first class petty officers and the vice-president and treasurer must be second class petty officers?

A) 1500	B) 1860
C) 1680	D) 1640

Answer & Explanation Answer: C) 1680

Explanation:

Since two of the eight first class petty officers are to fill two different offices, we write $8 P_{2} =$ 56

Then, two of the six second class petty officers are to fill two different offices; thus, we write $6 P_{2}$ =30

The principle of choice holds in this case; therefore, the members have 56 x 30 = 1680 ways to select the required office holders

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Filed Under: Permutations and Combinations

0 4780

Q:

If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___?

A) 14 × 13 × 13!	B) 15 × 14 × 14!
C) 14 × 12 × 12!	D) 15 × 13 × 13!

Answer & Explanation Answer: D) 15 × 13 × 13!

Explanation:

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

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Filed Under: Permutations and Combinations
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9 4776

Q:

If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

A) 51/1221	B) 42/221
C) 1/221	D) 52/1245

Answer & Explanation Answer: C) 1/221

Explanation:

Total Combination of getting a card from 52 cards = ${}^{52}C_{1}$

Because there is no replacement, so number of cards after getting first card= 51

Now, Combination of getting an another card= ${}^{51}C_{1}$

Total combination of getting 2 cards from 52 cards without replacement= ( ${}^{52}C_{1} \times {}^{51}C_{1}$ )

There are total 4 Ace in stack. Combination of getting 1 Ace is = ${}^{4}C_{1}$

Because there is no replacement, So number of cards after getting first Ace = 3

Combination of getting an another Ace = ${}^{3}C_{1}$

Total Combination of getting 2 Ace without replacement= ${}^{4}C_{1} \times {}^{3}C_{1}$

Now,Probability of getting 2 cards which are Ace = $\frac{{}^{4}C_{1} \times {}^{3}C_{1}}{{}^{52}C_{1} \times {}^{51}C_{1}}$ = 1/221.

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Filed Under: Permutations and Combinations
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5 4776

Quantitative Aptitude - Arithmetic Ability Questions

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