If $3\dfrac{3}{4}$ m of cloth is required for one suit, then how many suits can be prepared from 30 m of cloth?

1. 4
2. 5
3. 8
4. 9

Fill in the blanks :

(i) The multiplicative inverse of a rational number is also called its …………… .

(ii) Every negative rational number is …………… than 0.

(iii) A rational number $\dfrac{p}{q}$ is said to be in standard form, if q is …………… and p and q have no common divisor other than 1.

(iv) $\dfrac{-5}{-9}$ is a …………… rational number.

(v) The additive inverse of a rational number $\dfrac{a}{b}$ is …………… .

State True or False :

(i) There exists a rational number which is neither positive nor negative.

(ii) Every rational number has a multiplicative inverse.

(iii) Every rational number when expressed in its standard form has its denominator greater than the numerator.

(iv) The sum of a rational number and its additive inverse is always

(v) The product of a rational number and its multiplicative inverse is always

(vi) Any two equivalent rational numbers have the same standard form.

(vii) The product of any two rational numbers is also a rational number.

(viii) A rational number when divided by another rational number always gives a rational number.

(ix) Every rational number can be represented on a number line.

(x) The rational numbers smaller than a given rational number $\dfrac{p}{q}$ lie to the left of $\dfrac{p}{q}$.

Assertion: Two rational numbers with different numerators can never be equal.

Reason: A rational number $\dfrac{p}{q}$ is said to be in standard form if q is positive and p and q have no common factor other than 1.

1. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
3. Assertion (A) is true but Reason (R) is false.
4. Assertion (A) is false but Reason (R) is true.