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What is the difference between the average marks obtained in subjects A and E by all…

Paper 1 · Data Interpretation UGC NET December 2023 Re-Exam (14.12.2023) Shift-II
Passage
The following table shows the number of employees working in five different colleges A to E, along with the ratio of Males to Females (M:F) among them. Based on the data in the table, answer the questions that follow. College A: 3040 employees, ratio 13:6. College B: 3360 employees, ratio 4:3. College C: 2920 employees, ratio 9:11. College D: 2760 employees, ratio 10:13. College E: 2840 employees, ratio 13:7.
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 — The difference between the average marks in A and E is 52, so that is the answer.
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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