6500+ Quantitative Aptitude Questions and Answers With Explanation

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
Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

5 4527

Q:

A committee of 4 people is to be formed from a group of 9 people.How many possible committees can be formed?

A) 120	B) 162
C) 126	D) 170

Answer & Explanation Answer: C) 126

Explanation:

This question is a combination since order is not important.

Answer = $7 C_{3}$ = 126

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Filed Under: Permutations and Combinations

1 4524

Q:

Derrick's dad bought new tires for $900 using a credit card. His card has an interest rate of 19%. If he has no other charges on his card and does not pay off his balance at the end of the month, how much money will he owe after one month?

A) 11.25	B) 13.25
C) 14.25	D) 15.25

Answer & Explanation Answer: C) 14.25

Explanation:

I=prt

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Filed Under: Simple Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4520

Q:

$[(24)^{2} + (27)^{2}] \div ? = 9.0625$

A) 121	B) 144
C) 169	D) 81

Answer & Explanation Answer: B) 144

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

4 4520

Q:

The compound interest on Rs. 8000 for 3 year at 10% p.a. is

A) 2648	B) 2145
C) 2587	D) 2784

Answer & Explanation Answer: A) 2648

Explanation:

8000 × 33.1% = 2648

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Filed Under: Compound Interest
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

18 4517

Q:

$T h e v a l u e o f l o g_{2} (l o g_{5} (625)) i s :$

A) 2	B) 5
C) 10	D) 15

Answer & Explanation Answer: A) 2

Explanation:

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Filed Under: Logarithms
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

16 4512

Q:

A number divided by 296 leaves the remainder 75. If the same number is divided by 37, what will be the remainder ?

A) 0	B) 1
C) 11	D) 8

Answer & Explanation Answer: B) 1

Explanation:

Let x be the number.

Given: x = 296n + 75 [where n is quotient]

--> (378n) +( 372 + 1)

-->37(8n + 2) + 1

Hence, when x divided by 37, 1 is the remainder.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank Clerk

8 4508

Q:

What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

A) 814	B) 820
C) 840	D) 844

Answer & Explanation Answer: A) 814

Explanation:

Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.

Area of each tile = (41 x 41) sq.cm

Required number of tiles = 1517 x (902/41) x 41 = 814

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Filed Under: Volume and Surface Area

2 4506

Quantitative Aptitude - Arithmetic Ability Questions

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