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What is the ratio of students participating in carrom from B and C together to the…

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.

ClassTotalNeitherChess:Carrom
A4201194:3
B330887:4
C2401108:5
D125452:3
E3901308:5
What is the ratio of students participating in carrom from B and C together to the students participating in chess from A and D together?
A19:35
B20:37
C23:34 ✓ Correct
D22:35
Correct answer: (C) 23:34 — The answer is 23 to 34.
Explanation
The answer is 23 to 34.
Carrom from B is 4 of 11 of 242, which is 88, and from C is 5 of 13 of 130, which is 50.
So carrom from B and C together is 138.
Chess from A is 4 of 7 of 301, which is 172, and from D is 2 of 5 of 80, which is 32.
So chess from A and D together is 204, giving the ratio 138 to 204.
Dividing both by 6 gives 23 to 34.
So the answer is 23 to 34.

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