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IKMC 2027 - Grades 11-12 - Self-study SET 9 - Thematic Batch 3 Question 22

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 9 - Thematic Batch 3

Question 22

The vertices of triangle PQR are lattice points on the surface of a 3×3×3 cube. P and Q lie on side faces, and R lies on the top face. If the triangle is right-angled at Q, which labelled point is R?

Original printed choices: A) At A; B) At B; C) At C; D) At D; E) At E

Editorial task: Use the lattice diagram to test all five candidates and determine whether the printed question has a unique answer. Explain what the source solution overlooks.

Question illustration