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Question : Directions: Three 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 conclusions logically follow(s) from the statements.
Statements:
Some dates are weeks.
Some weeks are months.
All months are years.
Conclusions:
I. No date is a month.
II. Some weeks are years.
III. All years can never be dates.

Option 1: Only conclusion III follows

Option 2: Only conclusions I and II follow

Option 3: Only conclusion II follows

Option 4: Only conclusions II and III follow


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Only conclusion II follows


Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusions (I): No date is a month – From the Venn diagram, it is evident that there is no direct relation between date and month. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusions (II): Some weeks are years – From the Venn diagram, it is evident that the circles representing weeks and years overlap and have some parts of their area in common. So, it can be concluded that some weeks are years. Thus, this conclusion follows.
Conclusions (III): All years can never be dates – From the Venn diagram, it is evident that there is no direct relation between date and year. So, no definite relation can be drawn. Thus, this conclusion does not follow.

So, only conclusion II follows. Hence, the third option is correct.

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