Principal Mohan Lal and J.C. Nijhawan Solutions for Chapter: Operations on Rational Numbers, Exercise 8: BRAIN TEASERS

The multiplicative inverse of $6\frac{1}{3}$ is 

Write all rational numbers whose absolute values are $\frac{5}{9}$ 

Find the reciprocal of $\frac{4}{5}\times \left(\frac{3}{-8}\right)$

What should be added to $\frac{-5}{11}$ to get $\frac{26}{33}$ 

Subtract $6\frac{2}{3}$ from the sum of $\frac{-3}{7}$ and $2$

Find the value of $1+\frac{1}{1+{\displaystyle \frac{1}{6}}}$

If $\left|x\right|=0$, then $x$ has no reciprocal. 

If $x<y$ then $\left|x\right|<\left|y\right|$