Paper 1 · Data Interpretation
UGC NET June 2024 Re-Exam (23.08.2024) Shift-I
Passage
The table shows the proportion of students who passed in three graduation streams, namely Arts, Science and Commerce, from seven cities A to G, along with the ratio of males (M) to females (F) for the three streams. The Arts:Science:Commerce proportion and the M:F ratios for Arts, Science and Commerce respectively are: City A 2:4:5, with 31:14, 23:27 and 11:7; City B 7:2:4, with 37:33, 43:32 and 29:21; City C 1:4:2, with 34:16, 57:43 and 31:29; City D 5:7:4, with 17:13, 51:33 and 23:17; City E 4:3:8, with 23:17, 41:34 and 57:23; City F 2:4:3, with 47:28, 11:7 and 16:11; City G 3:5:4, with 29:21, 27:24 and 53:47. Based on the data, answer the questions that follow.
If the number of males who passed in Commerce from City-G is 2544, then what is the number of students who passed in Arts from City-G?
A3600 ✓ Correct
B4200
C4800
D3400
Correct answer: (A) 3600 — The number of Arts students from City-G is 3600, so that is the answer.
Explanation
★The number of Arts students from City-G is 3600, so that is the answer.
★City-G has the Arts:Science:Commerce proportion 3:5:4.
★In Commerce the M:F ratio is 53:47, so males are 53 of 100 parts of the Commerce group.
★Commerce is 4 parts, so Commerce males are 4x times 53 over 100, which equals 2544, giving x as 1200.
★Arts is 3 parts, which is 3 times 1200.
★That gives 3600.
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