UPSC Prelims 2023 · CSAT (Paper 2) · Q54
Basic Numeracy
Hard · Modular arithmetic
21 children are standing in a circle and one of them (say child-1) has a ring. The ring is passed clockwise. Child-1 passes it on to child-2, child-2 passes it on to child-4, child-4 passes it on to child-7 and so on. After how many such changes (including the pass made by child-1) will the ring be in the hands of child-1 again?