Question

Which of the following rational number lies between irrational numbers $\mathrm{3.1488234.....}$ and $\mathrm{4.23213344333....}$ ?

• A. $5.2345$
• B. $\frac{7}{2}$
• C. $\frac{8}{15}$
• D. All of the above.

Answer 1

The correct option is B $\frac{7}{2}$

The numbers $\mathrm{3.1488234....}$ and $\mathrm{4.23213344333...}$ are represented on number line.

$\Rightarrow 5.2345>\mathrm{4.23213344333....}\Rightarrow \frac{7}{2}=3.5\text{here}\mathrm{3.1488234....}<3.5<\mathrm{4.23213344333...}\Rightarrow \frac{8}{15}=0.5\overline{3}<\mathrm{3.1488234....}$