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IBPS PO Prelims 24 Aug 2025 Shift 1 Solved Paper

Question Numbers: 79-83

In school A, the number of students who like only art is 40 less than the number of students who like only music in school B. The ratio of the number of students who like both art and music in school A to B is 8:9. The number of students who like only music in school A is 200 less than the number of students who like only art in school. B. The ratio of the number of students who like only art in schools A and B is 8: 11. Number of students who like both art and music in school A is 1/3rd of the number of students who like only music in the same school. The number of students who like both art and music in school B is 1/4th of the number of students who like only music in the same school.

Question : 81 of 100

Marks: +1, -0

Ratio of boys and girls who like art in school A is 5:3. Find the difference between number of boys and girls who like art in school A?

Validate

Solution:

Concept:

When a total is divided in the ratio

a:b

, the difference between the two parts is

\frac{a-b}{a+b} \times \text{Total}

Explanation:

From the given caselet data, the total number of students who like art in school A is obtained as follows:

Only Art in A

= 320

Both Art and Music in A

= 80

Hence, Total Art lovers in A

= 320 + 80 = 400

The ratio of boys to girls who like art in school A is

5:3

Let the common multiplier be

x

Then Boys

= 5x

and Girls

= 3x

So,

5x + 3x = 8x = 400

, which gives

x = 50

Therefore, Boys

= 5 \times 50 = 250

and Girls

= 3 \times 50 = 150

Required difference

= 250 - 150 = 100

Answer:

100

(Option B)

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