Paper 1 · Data Interpretation
UGC NET December 2021 June 2022 (21.09.2022) Shift-II
Data
For six colleges A–F: pass percentage, and male:female ratio among passed and among failed students.
| College | Pass (%) | Passed M:F | Failed M:F |
|---|---|---|---|
| A | 40 | 12:13 | 12:5 |
| B | 55 | 5:3 | 11:14 |
| C | 70 | 7:5 | 5:3 |
| D | 45 | 4:1 | 7:3 |
| E | 50 | 2:1 | 1:2 |
| F | 37.5 | 3:2 | 2:1 |
If the number of male students who have passed from D and F are equal, then what is the ratio of the number of students in D and F respectively?
A8:5
B3:8
C8:3
D5:8 ✓ Correct
Correct answer: (D) 5:8 — The answer, matching the official key, is 5 to 8.
Explanation
★The answer, matching the official key, is 5 to 8.
★Males passed from D are the D total times 0.45 times 4 over 5, which is 0.36 of D.
★Males passed from F are the F total times 0.375 times 3 over 5, which is 0.225 of F.
★Setting these equal gives 0.36 of D equal to 0.225 of F.
★So the ratio of D to F is 0.225 to 0.36, which is 5 to 8.
★For example 5 and 8 give equal male passers of 1.8 units each.
★So the answer is 5 to 8.
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