Three statements are given followed by three conclusions (I), (II) and (III).…
2023
Three statements are given followed by three conclusions (I), (II) and (III). You have to take these statements to be true, even if they seem to be at variance from commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements. Statements: (1) Some plates are cups. (2) Some cups are tumblers. (3) All tumblers are spoons. Conclusions: (I) Some spoons are cups. (II) Some cups are plates. (III) Some spoons are plates.
- A.
Only conclusion (I) follows
- B.
Only conclusion (III) follows
- C.
Only conclusions (I) and (II) follow
- D.
Only conclusions (II) and (III) follow
Attempted by 156 students.
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Correct answer: C
From (2) and (3): Some cups are tumblers and all tumblers are spoons → those tumblers are spoons → Some cups are spoons, so Some spoons are cups (I) follows.
From (1): Some plates are cups → implies Some cups are plates (II) (reversible).
(III) does not follow because the plates that are cups need not overlap with spoons.