Others Maths Puzzle

Find Remainder N= (39^39)/41
a) 1
b) 20
c) 0
d) 11

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Others Other Question

The largest 4 digit number which can be added to 7249 in order to make the derived number divisible by each of 12,14,21,33 and 54 will be? How many sets of three distinct factors of the number N = 2^6 × 3^4 × 5^2 can be made such that the factors in each set has a highest common factor of 1 with respect to every other factor in that set?
a.236 b.360 c.104 d.380 e.NOT