6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the probability of selecting exactly 2 children when four persons are choosen at random from a group of 3 men, 2 woman and 4 children.

A) 9/29	B) 10/21
C) 12/21	D) 14/19

Answer & Explanation Answer: B) 10/21

Explanation:

4 persons can be selected from 9 in $9 C_{4}$ ways =126

Fvaourable events = $4 C_{2} * 5 C_{2}$ =60

So,required probability = 60/126 = 10/21

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Filed Under: Probability

2 5404

Q:

There are 15 lines in plane. How many intersections (Maximum) can be made ?

A) 55	B) 105
C) 215	D) 148

Answer & Explanation Answer: B) 105

Explanation:

First line will cut all other 14, similarly second will cut 13, and so on
Total = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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6 5403

Q:

If a cellphone is purchased for Rs.490 and sold for Rs.465.50 find the loss percentage?

A) 10	B) 5
C) 20	D) 15

Answer & Explanation Answer: B) 5

Explanation:

loss = C.P - S.P = 490 - 465.50 =24.50

loss % = (loss x 100)/C.P = (24.50 x 100)/490 = 5%

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Filed Under: True Discount

4 5403

Q:

There are two numbers such that the sum of twice the first number and thrice the second number is 300 and the sum of thrice the first number and twice the second number is 265. Which is the largest number ?

A) 24	B) 39
C) 85	D) 74

Answer & Explanation Answer: D) 74

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
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14 5402

Q:

Determine the total number of five-card hands that can be drawn from a deck of 52 cards.

A) 2589860	B) 2598970
C) 2598960	D) 2430803

Answer & Explanation Answer: C) 2598960

Explanation:

When a hand of cards is dealt, the order of the cards does not matter. If you are dealt two kings, it does not matter if the two kings came with the first two cards or the last two cards. Thus cards are combinations. There are 52 cards in a deck and we want to know how many different ways we can put them in groups of five at a time when order does not matter. The combination formula is used.

C(52,5) = 2,598,960

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Filed Under: Permutations and Combinations

1 5401

Q:

Two cylindrical buckets have their diameters in the ratio 3:1 and their heights are as 1: 3. Find the ratio of their volumes.

A) 2:1	B) 3:1
C) 4:1	D) 5:1

Answer & Explanation Answer: B) 3:1

Explanation:

$\frac{v 1}{v 2} = \frac{{(r_{1})}^{2} \times h 1}{{(r_{2})}^{2} \times h 2}$

d1 = $2 r_{1}$ and d2 = $2 r_{2}$ are diameters

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Filed Under: Volume and Surface Area
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2 5399

Q:

How many numbers up to 101 and 300 are divisible by 11 ?

A) 18	B) 20
C) 19	D) 17

Answer & Explanation Answer: A) 18

Explanation:

(300 – 101)/11 = 199/11 = 18 1/11

18 Numbers.

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT
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9 5396

Q:

Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ?

A) 84 yrs	B) 96 yrs
C) 116 yrs	D) 108 yrs

Answer & Explanation Answer: D) 108 yrs

Explanation:

Let the present ages of the mother and daughter be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.

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Filed Under: Problems on Ages
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6 5395

Quantitative Aptitude - Arithmetic Ability Questions

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