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Question

If y is a positive number, what is the value of y?
I. |y - 4| = 3
II. y2=y+6


A

If the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.

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B

If the question can be answered by using either statement alone.

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C

If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

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D

If the question cannot be answered even by using both the statements together.

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Solution

The correct option is A

If the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.


y > 0
Statement (I): |y - 4| = 3
y could be 1 or 7.
Statement (I) alone is not sufficient.
Statement (II):
y2=y+6y2y6=0(y3)(y+2)=0 y3=0 or y+2=0y=3 or y=2
As y is positive => y = 3
Statement (II) alone is sufficient.


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