Paper 1 · Data Interpretation
UGC NET December 2021 June 2022 (22.09.2022) Shift-I
Data
For five classes A–E: total students, number in neither chess nor carrom, and chess:carrom ratio among the rest.
| Class | Total | Neither | Chess:Carrom |
|---|---|---|---|
| A | 420 | 119 | 4:3 |
| B | 330 | 88 | 7:4 |
| C | 240 | 110 | 8:5 |
| D | 125 | 45 | 2:3 |
| E | 390 | 130 | 8:5 |
If the students who do not participate in both chess and carrom from A is increased by 300/17 percent, then the number of students participating in chess from A is decreased by what percent, given that the chess to carrom ratio for A remains the same?
A200/43%
B300/41%
C300/43% ✓ Correct
D400/47%
Correct answer: (C) 300/43% — The marked answer is three hundred over forty three percent.
Explanation
★The marked answer is three hundred over forty three percent.
★The non-players from A rise from 119 by 300 over 17 percent, which adds 21 to give 140.
★Following the book's working, the chess figure it compares against A's chess total of 172 changes by 12.
★As a percent of 172 this change is 12 divided by 172 times 100.
★That simplifies to three hundred over forty three percent.
★This matches the marked key.
★So the answer is three hundred over forty three percent.
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