Latest TCS Aptitude Question SOLUTION: what is the reminder when 6^17 +17^6 is devide by 7 ??? i) 1 ii)6 iii)3 iv) 0

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what is the reminder when 6^17 +17^6 is devide by 7 ???
i) 1
ii)6
iii)3
iv) 0

Asked In TCS luna dutta (8 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Ishwarkumar  (8 years ago)

6^17 mod 7=(7-1)^17 mod 7=(-1)^17 mod 7=-1
17^6 mod 7=(7*2+3)^6 mod 7= (3)^6 mod 7=729 mod 7=1
the remainder when 6^17+17^6 is divided by 7 is
1-1=0(ans)
Read more at http://www.m4maths.com/10628-What-is-the-remainder-when-6-17-17-6-is-divided-by-7-a-1-b-6-c-0-d.html#41g3aLjzPGye6U6y.99

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chandana donthu  (8 years ago)

ans is 0 (36*36*36*36)^2*6+(17*17*17)^2/7
then remainder for dividing each 36 with 7 and 17 with 7 is:
((1*1*1*1)^2*6+(3*3*3)^2)/7
6+1=7/7=0 so, ans is 0

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vaibhav  (8 years ago)

Correct answer is C

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Souvik Guin  (8 years ago)

6/7 reminder 6. 6*17=102. 102/7 reminder 4.
17/7 reminder 3. 3*6=18. 18/7 reminder 4.
4+4=8. hence it is greater than 7 then 8/7 reminder 1.
1 is the answer

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kundan prasad  (8 years ago)

Ans: iv) 0 (Zero)

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