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 C 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+6y2−y−6=0(y−3)(y+2)=0∴ y−3=0 or y+2=0y=3 or y=−2 As y is positive => y = 3 Statement (II) alone is sufficient.

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