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In the following question below some statements are given followed by some conclusions. 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. Statement: I. All red is green. II. All green is white. Conclusion: I. Some red is white. II. Some white is green.

In the following question below some statements are given followed by some conclusions. 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. Statement: I. All red is green. II. All green is white. Conclusion: I. Some red is white. II. Some white is green. Correct Answer Both conclusions I and II follow.

Concept:

  • Meaning of "Some A are B" in Syllogism - there is at least one point in A which is in B.
  • Meaning of "All A are B" in Syllogism - each point of A is in B.
  • This explains why "some" can be considered as a subset of "all".
  • Therefore, if "All A are B" is true, then "some A are B" is always true.

Least possible Venn diagram is :

I. Some red is white → True (As, All red is green and All green is white then All red is also white. When all Red is white, Some Red is white also correct.)

II. Some white is green → True (All green is white)

Hence, both conclusions I and II follow.

 Mistake Points

'Some’ is a subset of ‘All’. If in statements it is given that ‘All A is B’ then the conclusion ‘Some A is B’ would always be True. And 'some B are A ' is always true.

Additional Information

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