Question

without performing actual addition and division write the quotient when the sum of 79 & 97 is divided by 16

Answer 1

$$\begin{gathered} \frac{79+97}{16} \\ \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{nearest}\mathrm{multiple}\mathrm{of}16\mathrm{to}79\mathrm{is}64\mathrm{leaving}\mathrm{a}\mathrm{remainder} \\ 15\mathrm{and}\mathrm{for}97\mathrm{it}\mathrm{is}96\mathrm{leaving}\mathrm{remainder}1 \\ \mathrm{So}\mathrm{we}\mathrm{get}, \\ \frac{79+97}{16}=\frac{15+1}{16}\mathrm{Now}\mathrm{we}\mathrm{know}\mathrm{that}\mathrm{this}\mathrm{will}\mathrm{get}\mathrm{remainder}0 \\ \mathrm{and}\mathrm{quient}\mathrm{is}6+4+1=11 \end{gathered}$$