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
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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