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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In a joint family, there are 24 members whose age is decreased by 4 months, when one girl aged 24 years is replaced by a new boy. Find the age of the new boy ?

A) 18 years B) 12 years
C) 15 years D) 16 years
 
Answer & Explanation Answer: D) 16 years

Explanation:

Age of new boy = (Age of moved girl) – (Number of family members × Decreased in average)

= 24 – 24×4/12

= 24 – 8

= 16 years.

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

7 3755
Q:

A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?

A) 40 litre B) 45 litre
C) 60 litre D) 30 litre
 
Answer & Explanation Answer: B) 45 litre

Explanation:

Let amount of milk removed = 2x litre
So, amount of water added = x litre
Now → (165 − 2x)/x = 5/3
x = 45 lit

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

The ages of Sunitha and Pranitha are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5?

A) 10 years B) 15 years
C) 18 years D) 24 years
 
Answer & Explanation Answer: A) 10 years

Explanation:

Given the ages of Sunitha and Pranitha are 40 years and 60 years.

Let before 'm' years, their ages be in the ratio of 3 : 5

ATQ,

40-m60-m = 35

=> 200 - 5m = 180 - 3m

=>2m = 20

=> m = 10 years.

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Filed Under: Problems on Ages
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3 3747
Q:

A five digit number is formed with the digits 0,1,2,3 and 4 without repetition. Find the chance that the number is divisible by 5.

A) 3/5 B) 1/5
C) 2/5 D) 4/5
 
Answer & Explanation Answer: B) 1/5

Explanation:
5 digit number = 5! = 120
Divisible by 5 then the last digit should be 0
Then the remaining position have the possibility = 4!
= 24
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Filed Under: Probability

25 3747
Q:

The average of 50 consecutive natural numbers is x. What will be the are average when the next four natural numbers are also included?

A) x + 1 B) x + 2
C) x + 4 D) x + (x/54)
 
Answer & Explanation Answer: B) x + 2

Explanation:
Sum of n consecutive natural numbers = n(n+1)/2
Average of n consecutive natural numbers = (n+1)/2
For first 50 average = 51/2 = x
Last 50 average = 55/2 = x+2
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Filed Under: Average
Exam Prep: Bank Exams

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Q:

If cost price of an article is 75% of its selling price, then what will be the profit percentage?

A) 23.47 B) 25
C) 33.33 D) 20
 
Answer & Explanation Answer: C) 33.33

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams , GATE
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7 3741
Q:

A man sells two articles. The cost price of the first article is equal to the selling price of the second article. The first article is sold at a profit of 20% and the second articles is sold at a loss of 20%. What is the ratio of the selling price of the first article and the cost price of the second article?

A) 24 : 25 B) 25 : 24
C) 29 : 27 D) 27 : 29
 
Answer & Explanation Answer: A) 24 : 25

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

7 3734
Q:

A’s salary is 50% more than B’s. How much percent is B’s salary less than A’s?

A) 24.5% B) 29.5%
C) 31.3% D) 33.3%
 
Answer & Explanation Answer: D) 33.3%

Explanation:

Let the salary of B be 100

Salary of A = 150%

B’s salary less than A = (150-100)/150 X 100 = 100/3 = 33.33%

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Filed Under: Percentage
Exam Prep: Bank Exams

2 3733