The University of Dunning gives students the flexibility to specialize in one or two areas out of four – Commerce, Humanities, Medicine and Science. It is known that in a batch of 300, 50 specialize in only Commerce and half of those who specialize in Commerce specialize in Humanities also. No one who specializes in Medicine specializes in Humanities where as everyone who specializes in Science also opts for a specialization in Commerce. 1. What is the maximum number of students who specialize in only Humanities, if it is known that every area has at least ten students specializing in it? (A) 185 (B) 200 (C) 170 (D) 180 2. By how much is the maximum number of students who can specialize in Commerce more/less than the maximum number of students who can specialize in Medicine? (A) 50 more (B) 50 less (C) 100 more (D) 100 less 3. The ratio of the number of students who opted for both Commerce and Science or both Commerce and Medicine, to the number of students who opted for both Commerce and Humanities can be ___. 4. The number of students specializing in exactly one area among Commerce, Humanities, Science or Medicine is _. (A) 300 (B) at least 75 (C) at least 100 (D) at least 50 5. The maximum number of students who specialize in Science is ___. (A) 100 (B) 105 (C) 95 (D) 125

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