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

$3.1,3.2,3.8,3.9$

Four rational numbers between $3$ and $4$ are the decimal numbers that can be written in the form $\frac{p}{q},p,q$are integers and $q\ne 0$

i.e. $3.1,3.2,3.3,3.4,3.5,3.6,3.7,3.8,3.9$ ………(i)

Correct option:

$3.1,3.2,3.8,3.9$ lies in (i)

$\therefore$Option D is correct.

Incorrect options:

$\frac{3}{5},\frac{4}{5},1,\frac{6}{5}=0.6,0.8,1.0,1.2$

$\frac{13}{5},\frac{14}{5},\frac{16}{5},\frac{17}{5}=2.6,2.8,3.2,3.4$

$3.1,3.2,4.1,4.2$

All the numbers in the above options are either less than 3 or greater than 4 but not exactly lying between 3 and 4.

Hence, these are incorrect.