MCQ
State $T$ for true and $F$ for false.
$(i).$ Every rational number can be expressed with a positive numerator.
$(ii). \frac{3}{11}$ cannot be represented as a non$-$terminating repeating decimal.
$(iii).$ If $ \frac{\text{p}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two terminating decimals, then $ \frac{\text{p}}{\text{q}}\times\frac{\text{r}}{\text{s}}$ is also a terminating decimal.
$(iv).$ If $\frac{\text{p}}{\text{q}}$ is non$-$terminating repeating decimal and $\frac{\text{r}}{\text{s}}$ is a terminating decimal, then $\Big(\frac{\text{p}}{\text{q}}\div\frac{\text{r}}{\text{s}}\Big)$ is a terminating decimal.
$(i).$ Every rational number can be expressed with a positive numerator.
$(ii). \frac{3}{11}$ cannot be represented as a non$-$terminating repeating decimal.
$(iii).$ If $ \frac{\text{p}}{\text{q}}$ and $\frac{\text{r}}{\text{s}}$ are two terminating decimals, then $ \frac{\text{p}}{\text{q}}\times\frac{\text{r}}{\text{s}}$ is also a terminating decimal.
$(iv).$ If $\frac{\text{p}}{\text{q}}$ is non$-$terminating repeating decimal and $\frac{\text{r}}{\text{s}}$ is a terminating decimal, then $\Big(\frac{\text{p}}{\text{q}}\div\frac{\text{r}}{\text{s}}\Big)$ is a terminating decimal.
- A$\ce{F, F, F, T}$
- B$\ce{F, T, F, T}$
- ✓$\ce{T, F, T, F}$
- D$\ce{T, F, F, T}$