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tmua.me Medium Set C Paper 1 · Q19

Paper 1Probability

A positive divisor dd of 360360 is chosen at random, with every positive divisor equally likely.

What is the probability that the highest common factor of dd and 360/d360/d is 66?

A112\dfrac1{12}
B16\dfrac16
C14\dfrac14
D13\dfrac13
E12\dfrac12
F23\dfrac23

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