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In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: I. Only a few irrational is rational II. No rational is integer Conclusions: I. Some irrational is not rational II. No integer is rational

In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: I. Only a few irrational is rational II. No rational is integer Conclusions: I. Some irrational is not rational II. No integer is rational Correct Answer Both conclusions I and II follow

The least possible Venn diagram for the given statements is as follows,

I. Some irrational is not rational → True (It is definite)

II. No integer is rational → True (It is definite)

Hence, both conclusions I and II follow.

Additional Information

‘Only a few’ is equivalent to ‘Some’ + ‘Some not’.

If it is given that ‘Only a few A are B’ then conclusions ‘Some A are B’ and Some A are not B’ would always be considered as True.

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