Latest TCS Aptitude Question SOLUTION: 76^77 / 7. what is the reminder

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76^77 / 7. what is the reminder

Asked In TCS prakhar prashant (10 years ago)

Solved RAKESH Read Solution (10)

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Read Solution (10) :

RAKESH  (10 years ago)

76^77 / 7
=>(7*11-1)^77 / 7
=> (-1)^77/7
=> -1/7
=> 6/7 => remainder = 6

Is this solution Helpfull? Yes (19) | No (1)  

koushik kumar dey  (9 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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awanish  (10 years ago)

6...since 76^77= -1^77= -1 so ans will be 6

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sutapa mukherjee  (9 years ago)

as we know,the remainder of 6^anything is 6.hence the ans will b 6 as the unit digit of 76 is 6.

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Nikita Rastogi  (10 years ago)

cycle of 6 always leave 6 in the LSB
so,76^77 leaves 6 in the LSB so,6/7 will give remainder=6

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Shruti  (9 years ago)

ans is 6.

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sudheer  (9 years ago)

in 76 ---- the unit digit is 6^77 is always 6
so 6/7 reminder is 6 only

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sudheer  (9 years ago)

answer is 6

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Ritika Shrivastava  (9 years ago)

6 is the remainder

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ABHISHEK KUMAR  (9 years ago)

76 have 6 at unit place
so 6^77 will have 6 at unit place
thus 6/7=6
(since 6 appears at unit place as many no. of times you multiply)

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