In the following question below are given some statements followed by conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. All R are M.
II. Some S are R.
Conclusion:
I. Some R are S.
II. Some M are not R.
III. Some R are M.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Both conclusions I and III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some R are S → True (As some S are R, so, some R are S is also true.)
II. Some M are not R → False (As all R are M, so, some M are R.)
III. Some R are M → True (As all R are M, so, some R are M is also true.)
Hence, Both conclusions I and III follows.