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Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
I. Some dates are hazelnuts.
II. All hazelnuts are walnuts.
Conclusions:
I. Some dates are walnuts.
II. Some walnuts are hazelnuts.

Option 1: Both conclusions follow

Option 2: Only conclusion I follows

Option 3: Neither conclusion I nor II follows

Option 4: Only conclusion II follows


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: Both conclusions follow


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

Let's analyse the conclusions –
Conclusion (I): Some dates are walnuts – From the Venn diagram, it is evident that the circles representing dates and walnuts intersect and have some parts of their area in common. Thus, it can be concluded that some dates are walnuts​​​​​​.
Conclusion (II): Some walnuts are hazelnuts – From the Venn diagram, it is evident that some parts of the circle representing walnuts lie inside the circle representing hazelnuts while some lie outside. Thus, it can be concluded that some walnuts are hazelnuts.

So, both conclusions follow. Hence, the first option is correct.

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