Question

In a certain code '$256$' means 'you are good'; '$637$' means 'we are bad' and '$358$' means 'good and bad’. What represents 'and' in that code?

Answer 1

Compute the required value:

Given:

$$\begin{gathered} \left(\mathrm{i}\right)\mathrm{You}\mathrm{are}\mathrm{good}=256 \\ \left(\mathrm{ii}\right)\mathrm{We}\mathrm{are}\mathrm{bad}=637 \\ \left(\mathrm{iii}\right)\mathrm{Good}\mathrm{and}\mathrm{bad}=358 \end{gathered}$$

In (i) and (iii), good is common in RHS and $5$ is common in LHS. Hence ‘good’ is coded as $5$

In (ii) and (iii), bad is common in RHS and $3$ is common in LHS. Hence ‘bad’ is coded as $3$

From (iii), ‘good’ is coded as $5$, ‘bad’ is coded as $3$. Hence ‘and’ is coded as $8$

Hence, 'and' represents $8$.