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Combinatorics | Summation

Given below are two statements: Statement I: 5 divides n5 - n whenever n is a nonnegative integer. Statement II: 6 divides n3 - n whenever n is a nonnegative integer. In the light of the above statements. choose the correct answer from the options given below
What is the sum of the first 12 terms of an arithmetic progression if the first term is 5 and last term is 38?
What is the sum of the first 16 terms of an arithmetic progression if the first term is -9 and last term is 51?
The ratio of the 7th to the 3rd terms of an A.P. is 12 : 5. What is the ratio of the 13th to 4th term?
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