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 ratio of students in B and C is 2:3, then what is the ratio between the number of males who passed from B and the number of females who failed from C?
A2:1
B1:2
C55:27 ✓ Correct
D27:55
Correct answer: (C) 55:27 — The answer is 55 to 27.
Explanation
★The answer is 55 to 27.
★Let the totals in B and C be 2 and 3 units.
★Males passed from B are 55 percent of 2, times 5 over 8, which is 6.875 units.
★Females failed from C are 30 percent of 3, times 3 over 8, which is 3.375 units.
★So the ratio is 6.875 to 3.375, or 55 to 27.
★That is the required ratio.
★So the answer is 55 to 27.
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