Which of the following statements is true?
1 and -1 are reciprocal of themselves.
Zero has no reciprocal.
All of these
The product of the two middle rational numbers is a rational number.

Zero has no reciprocal.

All of these

1 and -1 are reciprocal of themselves.

The product of the two middle rational numbers is a rational number.

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Solution

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Option A
Reciprocal of a number is the number obtained by dividing it by $1$ .
Here, reciprocal of $1 = \frac{1}{1} = 1$ and reciprocal of $- 1 = \frac{1}{- 1} = - 1$
Hence, they are both the reciprocals of themselves.

Option B
Reciprocal of $0$ can be denoted as $\frac{1}{0}$ which isn't defined. Anything divided by $0$ is not defined.

Option C
Addition, subtraction, multiplication or division of a rational number with another rational number always gives a rational number.

$∴$ All the statements are correct.

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Which of the following statements is true?
1 and -1 are reciprocal of themselves.
Zero has no reciprocal.
All of these
The product of the two middle rational numbers is a rational number.