Others Maths Puzzle

what is the remainder when 9^2013 is divided by 77??

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Others Other Question

The freight of machine amounts to 20% of its price. Had the price been 10% less than what it is, the total cost of the machine would have been Rs. 480 less. What is the price of the machine ? If a and b are positive integers such that 1/a + 1/2a + 1/3a = 1/(b^2 − 2b), then the smallest possible value of a + b is
(A) 8
(B) 6
(C) 96
(D) 10
(E) 50