Given: If you plant four rose plants in a line and make five such lines in the same way.
According to the question,
1st Line → 4 Plants
2nd Line → 3 new plants (1 shared + 3 new plants = Total 4 plants in the line)
3rd Line → 3 new plants (1 shared + 3 new plants = Total 4 plants in the line)
4th Line → 3 new plants (1 shared + 3 new plants = Total 4 plants in the line)
5th Line → 3 new plants (1 shared + 3 new plants = Total 4 plants in the line)
So, the minimum number of rose plants required to achieve this arrangement = 4 + 3 + 3 + 3 + 3 → 16
Hence, "Option 2" is the correct answer.
Alternate Method
According to the question,
Each subsequent line has → 4 Plants
However, 1 plant at the start of each line is already counted from the previous line as it mentioned that the lines are connected.
∴ each new line adds → (4 - 1) 3 Plants
So,
1st Line has → 4 Plants
The next 4 lines have → 4 × 3 = 12 Plants
Thus, the minimum number of rose plants required to achieve this arrangement = 4 + 12 → 16