Find the minimum number of straight lines required to make the given figure.
2023
Find the minimum number of straight lines required to make the given figure.

- A.
13
- B.
15
- C.
17
- D.
19
Attempted by 4 students.
Show answer & explanation
Correct answer: A
Concept: To count the minimum number of straight lines in a figure, every line that runs the full length it was drawn — even where other lines cross it — is counted as exactly ONE line. A line that appears broken into pieces by intersections is still a single line; only genuinely distinct lines (different position or orientation, or a stroke that actually stops and a new one starts) are counted separately.
Label the figure as shown:

Count the horizontal lines from top to bottom: IJ, AB, EF, MN, HG, DC and LK — 7 lines in all (MN is the extra line drawn horizontally through the centre O, in addition to the top and bottom side of each of the three overlapping squares).
Count the vertical lines: AD, EH, IL on the left side and FG, BC, JK on the right side — 6 lines in all (the two vertical sides of each of the three overlapping squares).
Add the two counts: 7 + 6 = 13.
Cross-check independently: the figure is built from 3 overlapping squares — outer IJKL, middle ABCD and inner EFGH. Each square contributes exactly 4 sides (2 horizontal + 2 vertical), so the three squares alone give 3 × 4 = 12 straight lines. The figure has one further straight line, MN, drawn horizontally through the centre O in addition to the squares' own sides, giving 12 + 1 = 13 — matching the direct count above.
Hence, the minimum number of straight lines required to draw the figure is 13.