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Question

Identify the conclusions which can be concluded by using given statement
Statement I All kings are jacks.
Statement II Some jacks are queens.
Conclusion A Some kings are queens.
Conclusion B No king is a queen.
Conclusion C All kings are queens.
Conclusion D Some queens are not jacks.

A
Both A and B follow
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B
Either A or B follows
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C
Either C or D follows
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D
All follow
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E
None of these
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Solution

The correct option is B Either A or B follows
Statement I All kings are jacks.
Statement II Some jacks are queens.
Conclusion A Some kings are queens.
Conclusion B No king is a queen.
All kings are jacks and Some jacks are queens. The jacks that are queens may or may not be the kings that are jacks.
Either A or B follows.
Conclusion C All kings are queens. False, All kings are jacks and Some jacks are queens. The jacks that are queens may or may not be the kings that are jacks.
Conclusion D Some queens are not jacks. False, We know that some jacks are queens, but all queens may or may not be jacks.

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