self Maths Puzzle

plz explain the approch to solve tis type of questions x^y or x^y! divided by z them remainder is..

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self Other Question

(BE)^2=MPB, WHERE M,P,B,E ARE THE DISTINCT INTEGERS, THN M= ???? Tomorrow I have TCS placements in college .. Guys pls give all your suggestions.. I have solved many questions from this site also doing lots of homework about company .. I am ECE branch. Pls tell hw will technical round be?