In each of the following questions two/three statements are given followed by two/four conclusions I, II, III and IV. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements :
(a) In our college, all first year students are cricket fans.
(b) of the first year students some are also tennis - fans.
(c) Some tennis fans are also football fans.
Conclusions : In our college.
I. All others, except first year students, are not fans of any game.
II. Some first year students play cricket.
III. All first year students are football fans.
IV. Some first year students are not football fans.

Options

A. Only conclusion I follows
B. Only conclusion II follows
C. Only conclusion III follows
D. Only conclusion IV follows

Answer

B

Explanation

All first year students are cricket fans. Some of the first year students are also tennis fans. Out of some tennis fans some are also football fans. Conclusions III and IV form complementary Pair. Therefore, either III or IV follows. Conclusion I is invalid as it mentions material fallacy. At most we can derive conclusion II.