Problem Solving (PS) | Re: What is the remainder when 7^11 + 7^111 + 7^1111 is divided by 8?

7^1=Remainder is 7 when divided by 8
7^2=Remainder is 1 when divided by 8
7^3=Remainder is -1 when divided by 8
7^4=Remainder is 1 when divided by 8
7^5=Remainder is 7 when divided by 8
7^6=Remainder is 1 when divided by 8
7^7=Remainder is -1 when divided by 8
7^8=Remainder is 1 when divided by 8
7^9=Remainder is 7 when divided by 8
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​pattern will continue, for eg; 7^3 = 343/8 remainder will -1 , 7^3=-1

Now 7^11 + 7^111 + 7^1111 = -1+-1+-1

Therefore, 8-3 = 5
IMO=D

Statistics : Posted by PranavVyas • on 08 Feb 2024, 01:30 • Replies 2 • Views 94

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