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Question

In these questions, there are two statements followed by three conclusions numbered, I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusion logically follows from the given statements.

Statements
Some years are decades.
All centuries are decades.

Conclusions
I. Some centuries are years.
II. Some decades are years.
III. No century is a year.

A
Only either I or III and II follow
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B
Both II & III follow
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C
Only I follow
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D
Only II follow
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Solution

The correct option is A Only either I or III and II follow
From the Venn diagram,


Conclusions :
From fig. (i): Some centuries are years.
From fig. (ii): No century is a year.
From fig. (iii): Some decades are centuries.
II. Some years are decades.
Clearly, the given conclusions I and II make a complementary pair hence either I or III follows and also conclusion II follows.

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