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 number of boys and girls successfully completing the B.A. programme are the same, then what is the ratio between the number of boys to the number of girls admitted in the B.A. programme?
A4:3
B5:3
C4:9
D3:4 ✓ Correct
Correct answer: (D) 3:4 — The pass rate for B.A. is 80 percent for boys and 60 percent for girls, so passers are 0.8x boys and 0.6y girls.
Explanation
★The pass rate for B.A. is 80 percent for boys and 60 percent for girls, so passers are 0.8x boys and 0.6y girls.
★Setting the passing counts equal gives 0.8x equals 0.6y, which simplifies to 4x equals 3y.
★Rearranging, the admitted ratio of boys to girls x:y becomes 3:4, which is the required answer.
★The trick is that the question asks for the admitted numbers, not the passed numbers, so the pass percentages must be reversed.
★A higher boys pass rate means fewer boys need to be admitted to match the girls output.
★Ratio and proportion problems set the two given quantities equal and then solve for the requested unknown ratio.
★Such data interpretation items reward reading whether the table figure is an input or an output before computing.
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