Question

Four rational numbers between $3$ and $4$ are

• A. $\frac{3}{5},\frac{4}{5},1,\frac{6}{5}$
• B. $\frac{13}{5},\frac{14}{5},\frac{16}{5},\frac{17}{5}$
• C. $3.1,3.2,4.1,4.2$
• D. $3.1,3.2,3.8,3.9$

Answer 1

The correct option is D

$3.1,3.2,3.8,3.9$

To find four rational numbers between $3$ and $4,$ multiply and divide $3$ and $4$ by $5$, we get
$\frac{3\times 5}{5}$ and $\frac{4\times 5}{5}$
$\Rightarrow \frac{15}{5}$ and $\frac{20}{5}$
Between $\frac{15}{5}$ and $\frac{20}{5}$ lies $\frac{16}{5},\frac{17}{5},\frac{18}{5},\frac{19}{5}$
Now, from the given options (A) and (B) does not contain rational number between $3$ and $4.$
(C) has $4.1$ and $4.2$ that does not lie between $3$ and $4.$