Multiple choice

The average marks of a student in 5 subjects was 76. In which the highest marks are 4 more than the second highest marks. If these two subjects are eliminated, the average marks of the remaining subjects are 72. What is the highest marks in a subject? 5 विषयों में एक विद्यार्थी के औसत अंक 76 थे । इनमे से अधिकतम अंक दूसरे सबसे अधिक अंक से 4 अधिक है । यदि इनमे से दो विषयों को निकाल दिया जाए, तो शेष विषयों का औसत अंक 72 हो जाता है। पांचो विषयों में से अधिकतम अंक कितने थे?

  1. 80

  2. 85

  3. 81

  4. 84

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total marks for 5 subjects = 5 × 76 = 380. Removing 2 subjects gives average 72 for 3 subjects, so their total = 3 × 72 = 216. The two removed subjects total = 380 - 216 = 164. Let second highest = x, then highest = x + 4. So x + (x + 4) = 164, giving 2x = 160, x = 80. Highest marks = 80 + 4 = 84.