Latest TCS Aptitude Question SOLUTION: 76^77 divided by 7 then what will be the remainder.

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(#M40033899) TCS Numerical Ability question remainder Keep an EYE

76^77 divided by 7 then what will be the remainder.

Asked In TCS abhinay yadav (10 years ago)

Solved Saraswathy Read Solution (4)

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Read Solution (4) :

Saraswathy  (10 years ago)

76^77/7 ==> [76*76*76....upto 77times]/7

76^1/7=6 [remainder(6) wen v divide 76/7]

Therefore [6*6*6*....upto 77times]/7

use cyclic remainder theory

6^1/7= 6
6^2/7= 36/7= 1
6^3/7= 216/7= 6
6^4/7= 1296/7= 1
so it follows like 6,1,6,1

we ll get d remainder as 6 for all odd powers of 6 nd 1 for all d even power of 6

so 76^77 which has an odd power
so the remainder ll be 6

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prabhakar kumar  (10 years ago)

76^77/7=(-1)^77/7=-1/7=6ans

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Sunny Kumar  (10 years ago)

ANS:76 mod 7=6
Now,6^77 mod 7=0
So,the remainder will be 0.

Is this solution Helpfull? Yes (1) | No (3)  

Shruti  (9 years ago)

ans is 6.
(ax-1)^n/a = 1 if n is even and a-1 if power is odd. so 76^77/7=(11*7-1)^77/7 hence remainder will be 7-1=6.

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