The number is formed by writing first 67 natural numbers in front of each other as 123456789.... What is the remainder when this number is divided by 8
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,
It is not completely divisible and the remainder is 6
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Solution :-
We know that,
- When last three digits of a number are divisible by 8 , the number also divisible by 8 .
- If we get a remainder when we divide last three digits by 8, it will be the remainder when we divide the entire number by 8 .
So,
→ (1234567891011_______6667) ÷ 8
→ 667 ÷ 8
→ 83 × 8 + 3
→ 3 Remainder (Ans.)
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