Statement-I The reciprocal of a positive rational number is positive.
Statement-II The reciprocal of a negative rational number is positive.

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Statement I is False, Statement II is True

Statement I is True, Statement II is True

Statement I is True, Statement II is False

Statement I is False, Statement II is False

answer is C.

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Detailed Solution

To understand this better, let us consider examples:

The reciprocal of a positive rational number is positive.
- For the positive number 2, its reciprocal is 1/2. Here, both 2 and 1/2 are positive, proving that the reciprocal of a positive rational number is positive.
- For another positive number 3/5, its reciprocal is 5/3. Again, both numbers are positive, showing the same result.
The reciprocal of a negative rational number remains negative.
- For the negative number -3, its reciprocal is −1/3. This example shows that the reciprocal of a negative rational number does not become positive; it remains negative.
- For another negative number −4/7, its reciprocal is −7/4. Again, both numbers are negative, confirming that Statement-II is incorrect.