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Question

Choose the correct option about conclusion drawn from the statements given below.
Statements:
Some red are blue.
Some blue are grey.
All grey are white.
No white is black.

Conclusions:
(I) No black is grey.
(II) Some blue are white.
(III) Some black are red.
(IV) No black is red.

A
Only I and II follow
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B
Only either III or IV follows
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C
Only I and either III or IV follow
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D
Only I, II and either III or IV follow
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E
None of the above
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Solution

The correct option is D Only I, II and either III or IV follow
As per given statements :
From statements (iii) and (iv), we can conclude that No black is grey.
From (ii) and (iii), we can conclude that some blue are white.
And we can have either Some black are red or No black is red.
Hence, conclusion (I) and (II) follows.
But from (iii) and (iv), either of the both follows.
Hence, option D is correct.

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