Paper 1 · Data Interpretation
UGC NET December 2021 June 2022 (11.07.2022) Shift-I
Data
Percentage of students (Boys and Girls) who successfully completed their programmes in a college.
| Programme | Boys (%) | Girls (%) |
|---|---|---|
| B.A. | 80 | 60 |
| B.Sc. | 80 | 70 |
| B.Com | 40 | 60 |
| B.B.A. | 90 | 60 |
| B.C.A. | 70 | 80 |
| B.Tech. | 70 | 80 |
If the ratio between the number of boys to the number of girls in the B.C.A. programme is 4:1, then what is the ratio between the number of boys who have successfully completed B.C.A. to the number of girls who have successfully completed B.C.A.?
A9:4
B9:5
C6:7
D7:2 ✓ Correct
Correct answer: (D) 7:2 — In B.C.A. boys pass at 70 percent and girls at 80 percent, while the admitted ratio of boys to girls is 4:1.
Explanation
★In B.C.A. boys pass at 70 percent and girls at 80 percent, while the admitted ratio of boys to girls is 4:1.
★Take boys as 4x and girls as x for the admitted counts.
★Passed boys equal 4x times 0.70, which is 2.8x.
★Passed girls equal x times 0.80, which is 0.8x.
★The ratio 2.8x to 0.8x simplifies to 28 to 8, that is 7:2.
★Combining an admission ratio with different pass rates requires applying each rate before taking the final ratio.
★The variable x cancels, so the answer depends only on the ratio and the two percentages.
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