CSAT 2020

Q. Consider the following data:
Girls’s Average marks in English = 9
Girls’s Average marks in Hindi = 8
Boys’s Average marks in English = 8
Boys’s Average marks in Hindi = 7
Overall Average marks in English = 8.8

What is the value of Overall Average marks in Hindi?

(a) 7.8
(b) 7.6
(c) 7.4
(d) 7.2
Correct Answer: (a) 7.8

Question from UPSC Prelims 2020 CSAT Paper

Explanation : 

Overall Average marks in Hindi

Let’s solve this step by step:

1. Given:
x = number of girls
y = number of boys

2. English marks equation:
Total marks = (9x + 8y)
Average = 8.8
Therefore: (9x + 8y)/(x + y) = 8.8 … (1)

3. Hindi marks:
Total marks = (8x + 7y)
From equation (1), we found: x = 4y

4. Substituting x = 4y in Hindi marks:
Total marks = 8(4y) + 7y
= 32y + 7y
= 39y

5. Final calculation:
Average Hindi marks = 39y/(5y)
= 7.8

Therefore, the overall average marks in Hindi is 7.8.

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