Question
Download Solution PDFThree 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 reds are pinks.
All whites are pinks.
All pinks are oranges.
Conclusions:
I. All whites are oranges.
II. All oranges are reds.
III. Some oranges are whites.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatements:
All reds are pinks.
All whites are pinks.
All pinks are oranges.
Venn diagram:
Conclusions:
I. All whites are oranges → Follow → Since 'all whites are pinks' & 'all pinks are oranges' thus the conclusion follows.
II. All oranges are reds → Does not follow → From the diagram we can see that all reds are oranges but all oranges are not red therefore the conclusion does not follow.
III. Some oranges are whites → Follow → We have 'all whites are pink' and 'all pinks are oranges' so some oranges will be definitely whites.
So, only conclusions I and III follow.
Hence, the correct answer is "Option 1".
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