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Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. All R is P.
II. All P is J.
Conclusions:
I. All P is R.
II. All J is P.
III. All R is J.

Option 1: Only conclusion II follows

Option 2: Only conclusion I follows

Option 3: All conclusion follows

Option 4: Only conclusion III follows


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: Only conclusion III follows


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

Let's analyse the conclusions –
Conclusion (I):
All P is R – From the Venn diagram, it is evident that some parts of the circle representing P lie inside the circle representing R while some lie outside. So, from, this, it can be concluded that some P is R . Thus, this conclusion doesn't follow.
Conclusion (II): All J is P – From the Venn diagram, it is evident that some parts of the circle representing J lie inside the circle representing P while some lie outside. So, from, this, it can be concluded that some J is P . Thus, this conclusion doesn't follow.
Conclusion (III): All R is J – From the Venn diagram, it is evident that the circle representing R completely lies inside the circle representing J. So, from this, it can be concluded that a ll R is J.

So, the only conclusion III follows. Hence, the fourth option is correct.

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