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Question

In each of the questions below are given two/three 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. Give answer
Statements: No spade is a club.
All clubs are diamonds.
All spades are hearts
Conclusions: I. Some spades which are diamonds may also be clubs.
II. Some hearts, if they are clubs, must be diamonds.

A
if only conclusion I follows.
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B
if only conclusion II follows.
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C
if either conclusion I or conclusion II follows.
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D
if neither conclusion I nor conclusion II follows.
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E
if both conclusion I and conclusion II follow.
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Solution

The correct option is B if only conclusion II follows.
There are two cases possible.
Some spade which are diamonds can never be clubs.
This is not possibility.
Some hearts which clubs are also diamonds.
This is a possibility, but not always correct.
Thus only conclusion II is correct.
Hence, Option B is correct.

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