6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A school committee of 5 is to be formed from 12 students.How many committees can be formed if John must be on the committee?

A) 11P4	B) 11C4
C) 11P5	D) 11C5

Answer & Explanation Answer: B) 11C4

Explanation:

If John must be on the committee,we have 11 students remaining,out of which we choose 4. So, $11 C_{4}$

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Filed Under: Permutations and Combinations

0 5634

Q:

What is value of $\frac{P + Q}{P - Q}$ if $\frac{P}{Q} = 7$ ?

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

Answer & Explanation Answer: C) 4/3

Explanation:

$h e n c e P = 7 Q$

$\frac{P + Q}{P - Q} = \frac{7 Q + Q}{7 Q - Q} = \frac{8 Q}{6 Q} = \frac{4}{3}$

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Filed Under: Simplification

1 5632

Q:

The average of ages of threee persons is 60 years . Those ages are in the proportion of 1:2:3. what is the age of the youngest one among them?

Answer

Suppose the ages of three persons are x, 2x, 3x years respectively

$\Rightarrow \frac{x+2x+3x}{3}=60$

$\Rightarrow 6x=180$

$\Rightarrow x=30$

Hence, age of youngest person = x = 30 years.

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Subject: Problems on Ages

3 5627

Q:

When a discount of 25% is given on a wedding gown, the profit is 32%. If the discount is 17%, then the profit is _____%.

A) 46.08	B) 49
C) 51.03	D) 43.16

Answer & Explanation Answer: A) 46.08

Explanation:

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

10 5626

Q:

What is the remainder when $15^{23} + 23^{23}$ is divided by 19 ?

A) 4	B) 3
C) 1	D) 0

Answer & Explanation Answer: D) 0

Explanation:

$15^{23} + 23^{23} = {(19 - 4)}^{23} + {(19 + 4)}^{23}$

The remainder on dividing by 19 will be ${(- 4)}^{23} + {(4)}^{23}$ = 0.

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

8 5626

Q:

A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

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

Answer & Explanation Answer: A) 8 months

Explanation:

Suppose B joined for x months.

Given profit is divided in the ratio 3:1. Then,

$\frac{85000 \times 12}{42500 \times x} = \frac{3}{1}$

--> x = 8 months.

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Filed Under: Partnership
Exam Prep: GRE , GATE , CAT , Bank Exams
Job Role: Bank PO , Bank Clerk , Analyst

6 5619

Q:

In an election between two candidates 70% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 7203 votes which was 60% of the total valid votes. Find the total number of voters enrolled in that election.

A) 18050	B) 17500
C) 17000	D) 7203

Answer & Explanation Answer: B) 17500

Explanation:

Let total number of votes enrolled = x
No. of voted cast = 70% of x = 0.7x
Valid votes = 98% of 0.7x
⇒ 60% of total valid votes = 7203 = 60% of 98% of 0.7x
⇒ 0.6 X 0.98 X 0.7x = 7203
⇒ x = 7203 / (0.6 X 0.98 X 0.7)
⇒ x = 17500

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Filed Under: Percentage
Exam Prep: Bank Exams

1 5614

Q:

The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

A) 15360	B) 153600
C) .30720	D) 307200

Answer & Explanation Answer: B) 153600

Explanation:

Perimeter = Distance covered in 8 min. = (12000/60) * 8 = 1600m

Let length = 3x metres and breadth = 2x metres.

Then, 2(3x + 2x) = 1600 or x = 160.

Length = 480 m and Breadth = 320 m.

Area = (480 x 320) = 153600

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Filed Under: Volume and Surface Area

0 5592

Quantitative Aptitude - Arithmetic Ability Questions

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