book Maths Puzzle Numerical Ability

PLEASE HELP ME UNDERSTAND THIS!!!!!
Let S be the set of intergers divisible by both 6 and 15. Which of the following is NOT a divisor of every member of S?

A. 2
B. 5
C. 9
D. 10
E. 30
PLease explain your answer

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what is the gradient of a line perpendicular to y=3x if a^b=b^a and a=2b then find the value of a^2+b^2