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 |
In the B.Com. programme, 44 percent of the total students passed. If the total number of boys in B.Com. is 200, then what is the total number of girls in B.Com.?
A50 ✓ Correct
B52
C66
D60
Correct answer: (A) 50 — In B.Com. boys pass at 40 percent and girls at 60 percent, while the combined pass rate is 44 percent.
Explanation
★In B.Com. boys pass at 40 percent and girls at 60 percent, while the combined pass rate is 44 percent.
★Passed boys equal 200 times 0.40, which is 80 boys.
★Let the number of girls be y, so passed girls equal 0.60y.
★The total passed equals 44 percent of the total students, giving 0.44 times (200 plus y).
★The equation 80 plus 0.60y equals 0.44 times (200 plus y) solves to y equals 50.
★Weighted average problems balance the group rates against the overall rate to find the missing group size.
★Here the low overall rate near the boys rate signals that boys dominate the mix, so girls must be few.
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