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tmua.fyi Mock Paper 2 · Q11

Paper 2Logic & proofNumber & counting

For a positive integer nn, let RnR_n be the repunit consisting of nn ones (so R1=1R_1=1, R2=11R_2=11, R3=111R_3=111, and so on). The statement ‘33 divides RnR_n’ is true if and only if:

Ann is even
B33 divides nn
C99 divides nn
Dnn is odd
En>3n>3

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