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Playing with Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsPlaying with Numbers2 Marks
Question
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
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Answer

In the number 51439786, sum of digits is 5 + 1 + 4 + 3 + 9 + 7 + 8 + 6 = 43 and the given number is divided by 3.
$\therefore$ The sum of digits must by divisible by 3
$\therefore$ Divisible 43 by 3, the remainder will be = 1
Hence remainder = 1

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