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

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(#M40033898) 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 (3)

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Read Solution (3) :

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

Is this solution Helpfull? Yes (18) | No (3)  

sudharsana  (10 years ago)

76^77
77/4 reminder 1
76^1 = 76/7 reminder 6
answer = 6

Is this solution Helpfull? Yes (2) | No   

Sunny Kumar  (10 years ago)

76 mod 7=6
now,6^77 mod 7=0.
Answer is :0.

Is this solution Helpfull? Yes | No (5)  

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