Latest Elitmus Aptitude Question SOLUTION: (50^56^52) mod 11........ans is 5 but tell me the procedur common for other ques also

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(#M40040153) ELITMUS Numerical Ability question remainder Keep an EYE

(50^56^52) mod 11........ans is 5 but tell me the procedur common for other ques also

Asked In Elitmus ANANT VIKRAM SINGH (9 years ago)

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Mithun Kumar Kesari  (9 years ago)

let N=56^52

50^N/11= 6^N/11
now we have to make cycle of 6
6^1/11=6
6^2/11=3
6^3/11=7
6^4/11=9
6^5/11=10= -1(negative remainder)

so the cycle of 50^N(or 6^N) is 10

now, N/10= 56^52/10 gives remainder=6

this 6 will be the 6th term of the cycle 50^N

so the required remainder= 6th term/11= (6^3*6^3)/11= 49/11= 5

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beauty kumari  (9 years ago)

if p is a prime no then (a^(p-1))/p leaves rmdr=1
50^(10k+6)=(50^10k)*50^6/11
=1*6^6/11=36*36*36/11
3*3*3/11=27/11=5 ans

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