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IKMC 2027 - Grades 9-10 - Self-study SET 2 - Thematic Batch 3 Question 15

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 2 - Thematic Batch 3

Question 15

Twelve guests leave their shoes on a rack before entering a party. There are six pairs of men’s shoes and six pairs of women’s shoes, six brown pairs and six black pairs. Some shoes are stolen. Among the stolen shoes are five men’s shoes and five brown shoes. What are the smallest and largest possible numbers of guests who have at least one shoe stolen?

Question illustration

Original choices (retained for reference):
A. 3 and 5
B. 3 and 6
C. 3 and 10
D. 6 and 6
E. 5 and 5