Question

Q. Rakhi has made several machines that convert numbers. They are as follows.

1. Machine A doubles the number.

2. Machine B sutracts 5 From the numbers.

3. Machine C divides the number by 3

4. Machine D multiply the number by 3

5. Machine E adds 6 to the number.

She arranged some of the machines to get results as given below. Determine for each input wht combination of machines she used to get final output.

(a)

Input Machines Output 2 12 3 15 4 18 7 27

Answer 1

$$\begin{gathered} \mathrm{If}\mathrm{the}\mathrm{input}\mathrm{is}2\mathrm{and}\mathrm{output}\mathrm{is}12\mathrm{then}\mathrm{the}\mathrm{possibility}\mathrm{is}\mathrm{that} \\ \mathrm{AD} \\ \mathrm{Because}\mathrm{then}\mathrm{if}\mathrm{input}\mathrm{is}2\mathrm{A}\mathrm{operation}\mathrm{will}\mathrm{double}\mathrm{it}\mathrm{making}\mathrm{it}4\mathrm{and}\mathrm{then}\mathrm{D}\mathrm{operation}\mathrm{will} \\ \mathrm{multiply}3\mathrm{making}\mathrm{it}4\times 3=12. \\ \mathrm{Now}\mathrm{if}\mathrm{input}\mathrm{is}3\mathrm{and}\mathrm{out}\mathrm{put}\mathrm{is}15\mathrm{then},\mathrm{possibility}\mathrm{is} \\ \mathrm{DE}, \\ \mathrm{Because}3\times 3=9 \\ \mathrm{and}9+6=15. \\ \mathrm{Similarly}\mathrm{you}\mathrm{can}\mathrm{think}\mathrm{of}\mathrm{other}\mathrm{two}. \end{gathered}$$