In the following question, two statements are given and these statements are…
2024
In the following question, two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statement:
(I) Some bags are hots.
(II) All hots are cakes.
Conclusion:
(I) All cakes are bags
(II) All bags are cakes.
- A.
If only conclusion I follows
- B.
If only conclusion II follows
- C.
If neither Conclusion I nor Conclusion II follows
- D.
If either Conclusion I or Conclusion II follows
Attempted by 1718 students.
Show answer & explanation
Correct answer: C
Answer: Neither Conclusion I nor Conclusion II follows.
Reasoning:
From the premises: Some bags are hots, and all hots are cakes. Therefore, some bags are cakes.
Evaluate 'All cakes are bags': This does not follow because the premises do not state that every cake must be a bag. Cakes could include items that are not bags.
Evaluate 'All bags are cakes': This does not follow because only some bags are given to be hots (and hence cakes). There is no basis to conclude that every bag is a cake.
Conclusion: Only the statement 'some bags are cakes' is provable; therefore neither of the two given conclusions follows.