Question 2
A number of the form $\frac{p}{q}$ is said to be a rational number, if
(a) p and q are integers.
(b) p and q are integers and q ≠ 0
(c) p and q are integers and p ≠ 0
(d) p and q are integers and p ≠ 0 also q ≠ 0.

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Solution

A number of the form $\frac{p}{q}$ is said to be a rational number, if p and q are integers and $q \neq 0$ . Hence, the correct answer is option (b).

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A number of the form $\frac{p}{q}$ is said to be a rational number if ___ .

Question 19
The reciprocal of any rational number $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ is:
(a) $\frac{p}{q}$
(b) 1
(c) 0
(d) $\frac{q}{p}$

Question 19
The reciprocal of any rational number $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ is:
(a) $\frac{p}{q}$
(b) 1
(c) 0
(d) $\frac{q}{p}$

Q. If

\frac{p}{q}

is a rational number, then which of the following cannot be true?

A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and-

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Rational Numbers

Standard VIII Mathematics

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Question 2 A number of the form pq is said to be a rational number, if (a) p and q are integers. (b) p and q are integers and q ≠ 0 (c) p and q are integers and p ≠ 0 (d) p and q are integers and p ≠ 0 also q ≠ 0.

A number of the form pq is said to be a rational number, if p and q are integers and q≠0. Hence, the correct answer is option (b).

Question 2
A number of the form $\frac{p}{q}$ is said to be a rational number, if
(a) p and q are integers.
(b) p and q are integers and q ≠ 0
(c) p and q are integers and p ≠ 0
(d) p and q are integers and p ≠ 0 also q ≠ 0.

A number of the form $\frac{p}{q}$ is said to be a rational number, if p and q are integers and $q \neq 0$ . Hence, the correct answer is option (b).