Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All breads are cakes.
All eggs are cakes.
Conclusions:
I. Some cakes are breads.
II. Some breads are eggs.
III. No bread is an egg.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Conclusion I and either conclusion II or III follow.
We can draw the following Venn diagram from the given statements:
I. Some cakes are breads: True (As All bread are cake, so some cake are bread is true).
II. Some breads are eggs: False (This is possible but not definite, as no direct relationship between the two is given).
III. No bread is an egg: False (This is possible but not definite, as no direct relationship between the two is given).
Conclusion II and III form a complementary pair.
Hence, Conclusion I and either conclusion II or III follow.