The table shows the percentage of marks obtained by six students in six subjects A–F of an MCA programme (maximum marks in brackets).
| Student | A (150) | B (100) | C (150) | D (125) | E (75) | F (50) |
|---|---|---|---|---|---|---|
| Anil | 66% | 75% | 88% | 56% | 56% | 90% |
| Arman | 82% | 76% | 84% | 96% | 92% | 88% |
| Arpit | 76% | 66% | 78% | 88% | 72% | 70% |
| Gaurav | 90% | 88% | 96% | 76% | 84% | 86% |
| Gurjit | 64% | 70% | 68% | 72% | 68% | 74% |
| Priya | 48% | 56% | 50% | 64% | 64% | 58% |
What is the difference between the average marks obtained in subjects A and E by all six students together?
A48
B50
C52 ✓ Correct
D54
Correct answer: (C) 52
Explanation
The difference between the average marks in A and E is 52, so that is the answer.
Subject A has maximum 150, and the six percentages give marks summing to 1278.
Dividing 1278 by 6 gives the average in A equal to 106.5.
Subject E has maximum 75, with an average already found as 54.5.
The difference is 106.5 minus 54.5.
This equals 52.
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