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AMO 2027 Grades 6-7 SET 18 - Self-study Question 9

AMO · AMO 2027 Grades 6-7 SET 18 - Self-study

Question 9

In the table below, each letter represents the number of students in that category. Which of the following must be equal to z?
STUDENTS IN ADVANCED BIOLOGY CLASS

Category | Juniors | Seniors | Total
--- | --- | --- | ---
Boys | k | n | m
Girls | r | s | t
Total | w | x | z

A. k + s

B. m + x

C. r + s

D. r + s + t

E. k + n + r + s

**Editorial note for this self-study exercise:** The row and column categories partition the students: every student is counted in exactly one of the four inner cells. Enter one option letter A–E. Letter case and outside whitespace are ignored.

Question illustration