Question

Ramesh got an average of 81 marks in Mathematics and English. He got an average of 78 marks in English and Science and an average of 93 marks in Science and Mathematics. How many marks did Ramesh get in Mathematics?
1. 90
2. 95
3. 96
4. 88

Answer 1

Correct Answer - Option 3 : 96

Concept:

Average = (Sum of all items)/(Total number of items)

Calculation:

Let be assume he score p, q, and r marks in English, Mathematics, and Science respectively

⇒ p + q = 81 × 2 = 162 .... (1)

⇒ p + r = 78 × 2 = 156 .... (2)

⇒ q + r = 93 × 2 = 186 .... (3)

⇒ By solving equation (1), (2) and (3)

⇒ q = 96, p = 66, r = 90

⇒ Rameh score in mathematics = q = 96

∴ The required result will be 96.