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IKMC 2027 - Grades 7-8 - Self-study SET 4 - Thematic Batch 3 Question 16

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 4 - Thematic Batch 3

Question 16

A shop has 200 pairs of red socks, 200 pairs of yellow socks and 200 pairs of black socks. For a sale, it places 600 socks in a bin: 300 right socks and 300 left socks. Find the largest N such that N matching pairs can always be selected. The socks within a pair must have the same colour; different pairs need not have the same colour.

Editorial note: A wearable pair consists of one left and one right sock of the same colour.

Question illustration
  1. 90
  2. 100
  3. 110
  4. 120
  5. 130