Subject
Govt.Jobs
Topic
জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা (NSI) সহকারী পরিচালক - ২৩.০৫.২০২৫
Find the remainder when 711+ 7111+ 71111is divided by 8.
Find the remainder when 711+ 7111+ 71111is divided by 8.
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7Explanation
When, 7 is divided by 8 then remainder = 7 When, 7 2 is divided by 8 then remainder = 1 When, 7 3 is divided by 8 then remainder = 7 When, 7 4 is divided by 8 then remainder = 1 Odd exponents give remainder = 7 Even exponents give remainder = 1 In 1st term, exponent is 11, which is odd so remainder = 7 In 2nd term, exponent is 111, which is also odd so remainder = 7 In 3rd term, exponent is 1111, which is odd so remainder = 7 So, (7 11 + 7 111 + 7 1111 ) mod 8 = (7 + 7 + 7) mod 8 = 21 mod 8 = 5Related questions
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