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Different designs can be made by placing a maximum of nine matchsticks. Which of the following designs cannot be made at all ?

Solution

Correct Option: 4

We must count matchsticks needed for each figure; the design that requires more than 9 matchsticks cannot be made. Option 4 (a parallelogram divided by a diagonal line) typically requires more distinct line segments than 9 matchsticks can form in the exact configuration shown, making it impossible with the constraint.

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