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VTMO 2026 - Grade 7 - Semifinal - SET 8 - Self-study Question 19

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 8 - Self-study

Question 19

A box contains 400 blue, white, red, yellow and orange marbles. The ratio blue:white:red is $1:2:4$, and the ratio white:yellow:orange is $1:3:6$. What is the least number of marbles that Pi must draw without looking to guarantee 50 marbles of one colour?

Question illustration
  1. 50
  2. 115
  3. 148
  4. 196
  5. 246