Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Find five rational numbers between $1$ and 2.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

\frac{6}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{12}{7}

\frac{8}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{13}{7}

\frac{7}{7}, \frac{8}{7}, \frac{9}{7}, \frac{11}{7}, \frac{12}{7}

\frac{8}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{12}{7}

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given rational numbers are 1 and 2.
We need to find the rational numbers between them.
As per the given options, let us multiply both numbers by

\frac{7}{7}

to make the denominator 7.

∴ 1 = 1 \times \frac{7}{7} = \frac{7}{7}

2 = 2 \times \frac{7}{7} = \frac{14}{7}

Thus 1 and 2 become

\frac{7}{7}

and

\frac{14}{7}

respectively.
We know,

7 < 8 < 9 < 10 < 11 < 12 < 13 < 14

∴ 1 = \frac{7}{7} < \frac{8}{7} < \frac{9}{7} < \frac{10}{7} < \frac{11}{7} < \frac{12}{7} < \frac{13}{7} < \frac{14}{7} = 2

Hence, five rational numbers are

\frac{8}{7}, \frac{9}{7}, \frac{10}{7}, \frac{11}{7}, \frac{12}{7} .

Hence, option 4 is correct.

JEE

NEET

Foundation JEE

Foundation NEET

CBSE