If p and q are integers- for pq to be a rational number- which of the following can be correct-

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If p and q ar...

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If p and q are integers, for $\frac{p}{q}$ to be a rational number, which of the following can be correct?

p = 0, q = 0

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p = 0, q ≠ 0

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p ≠ 0, q = 0

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p ≠ 0, q ≠ 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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\frac{p}{q}

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(i) A number which can be expressed in the form $p q$ , where $p$ and $q$ are integers and $q$ is not equal to zero, is called a .....

(ii) If the integers $p$ and $q$ have no common divisor other than 1 and $q$ is positive, then the rational number $p q$ is said to be in the ....

(iii) Two rational numbers are said to be equal, if they have the same .... form.

(vi) $\frac{a}{b} = \frac{a \div m}{b \div}$

(v) If $p$ and $q$ are positive integers, then $p q$ is a ..... rational number and $p - q$ is a ..... rational number.

(vi) The standard form of −1 is ...

(vii) If $p q$ is a rational number, then $q$ cannot be ....

What can be said about the following statements ? Statement 1 : \exists a natural number a such that a^{2} \leq a . Statement 2 : \forall rational numbers a, a = \frac{p}{q}, where p and q are integers and q \neq 0 .

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