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VTMO 2026 - Grade 8 - Semifinal - SET 05 - Self-study Question 21

VTMO · VTMO 2026 - Grade 8 - Semifinal - SET 05 - Self-study

Question 21

A $15\times15$ table has entry $ij$ in row $i$, column $j$, for $1\le i,j\le15$, following the multiplication pattern shown. Find the absolute difference between the sums of the fifteen entries on its two main diagonals.

Question illustration