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Question

The ratio of the number of boys and girls in a school is 12 : 13. If there are 372 boys, then the total number of students in the school is :

This question was previously asked in
CTET 2022 Paper 2 Maths Question Paper (Jan-27-2023) (Eng-Hin-Skt)
The correct answer is

775

Ratio of boys to girls = 12 : 13, and the number of boys = 372.

Since 12 parts correspond to 372 boys, 1 part = \(372 \div 12 = 31\).

Number of girls = 13 parts = \(31 \times 13 = 403\).

Total number of students = boys + girls = \(372 + 403 = 775\).

Hence, the total number of students in the school is 775.

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Important Questions from Ratio and proportion

  1. A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio 1/2 : 3/4 : 5/6 . What is the difference between the maximum share and the minimum share?

  2. In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?

  3. How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?

  4. In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

  5. The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)

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