Consider the following data : | Average marks in English | Average marks in Hindi Girls | 9 | 8 Boys | 8 | 7 Overall average marks | 8·8 | x What is the value of x in the above table?
- (a) 7·8 ✓ UPSC's answer
- (b) 7·6
- (c) 7·4
- (d) 7·2
Why the answer is (a)
• Let there be g girls and b boys.
• English: 9g + 8b = 8·8(g + b), so 0·2g = 0·8b and g = 4b.
• Hindi: x = (8g + 7b)/(g + b) = (32b + 7b)/5b = 39/5 = 7·8.
• Hence option (a).
Why the other options are wrong
- (b) 7·6
- Option (b) 7.6 is incorrect because the correct calculation yields 7.8.
- (c) 7·4
- Option (c) 7.4 is incorrect because the correct calculation yields 7.8.
- (d) 7·2
- Option (d) 7.2 is incorrect because the correct calculation yields 7.8.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2020, held on 4 October 2020. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.