In the question given, there are four statements which are to be taken as truth even if they do not seem to be so. There are conclusions numbered I, II, III and IV. Decide which of these logically follow from the given statements.
All students who like English also like Mathematics. Some students like Hindi.
All students who like Hindi do not like mathematics. Students who like Mathematics also like English.
I. Students who like Hindi also like English.
II. Students who like Mathematics also like Hindi.
III. Students who like Mathematics do not like Hindi.
IV. Students who like English do not like Hindi.

I and II

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I and III

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I and IV

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III and IV

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Solution

The correct option is D III and IV
Given statements can be represented in form of Venn diagram.
Students who like math like English and vice versa.
Thus, Students who like Mathematics do not like Hindi and Students who like English do not like Hindi seems to be true.
Hence, Option D is correct.

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The correct option is D III and IVGiven statements can be represented in form of Venn diagram.Students who like math like English and vice versa.Thus, Students who like Mathematics do not like Hindi and Students who like English do not like Hindi seems to be true.Hence, Option D is correct.

The correct option is D III and IV
Given statements can be represented in form of Venn diagram.
Students who like math like English and vice versa.
Thus, Students who like Mathematics do not like Hindi and Students who like English do not like Hindi seems to be true.
Hence, Option D is correct.