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SASMO 2022 Grade 5 Question 22

SASMO · SASMO 2022 Grade 5

Question 22

Ninety students, numbered 1 to 90, stand in a straight line. The first student leaves, the second stays, the third leaves, the fourth stays, and so on. This process is repeated until only one student remains. What is that student's number?

The initial order is 1, 2, …, 90. At every new pass, restart at the front of the remaining line and remove its first, third, fifth, … students.

Answer entry: enter the whole number only, without units. The paper uses four shaded digits with leading zeros; ordinary integer entry is accepted here.