Question 24

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All purses are rupees.
Some rupees are coins.
Conclusions:
I. Some purses are coins.
II. No purse is coin.
III. No rupee is coin.

Solution

From the given statements, the basic diagram is

I. Some purses are coins

From the basic diagram, No purse is coin. Hence Conclusion I do not follow.

II. No purse is coin

From the above possibility diagram, Some purses are coins. Hence Conclusion II do not follow.

Both conclusions are false but when Conclusion I is false Conclusion II is true, when Conclusion I is true Conclusion II is false.

$$\therefore\ $$Either Conclusion I or Conclusion II follows the given statements

III. No rupee is coin

From the basic diagram, Some rupees are coins. Hence Conclusion III do not follow.

Hence, the correct answer is Option D


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