Question
When a number is divided by 29 remainder is 18. Find the
remainder when eight times of the same number is divided by 29.Solution
Number = (29A + 18), where 'A' is constant. Therefore, required remainder = [8 × (29A + 18)] ÷ 29 = (232A + 144) ÷ 29 = (232A + 116 + 28) ÷ 29 = 28
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