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IKMC 2027 - Grades 5-6 - Self-study SET 9 - Thematic Batch 3 Question 11

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 9 - Thematic Batch 3

Question 11

Every cell of a 5×5 board contains one ladybug. At a signal, each moves diagonally to a cell sharing a corner with its starting cell, as illustrated. Some cells may receive several ladybugs and some become empty. What is the greatest possible number of empty cells?

Question illustration

Original source choices (retained):

A. 1

B. 3

C. 5

D. 6

E. 7

Source consistency task: solve the literal maximum problem, give a bound and construction, and explain why the printed source choice C=5 does not answer it. The original stem and choices are retained.