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CBSE Class 10 Answered

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Asked by arindeep.singh | 15 Jul, 2020, 09:42: PM
answered-by-expert Expert Answer
Q: A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13?
Solution:
Let the number be x
When x is divided by 143, it leaves remainder 31
i.e. x = 143p + 31
rightwards double arrow straight x equals 13 cross times 11 straight p plus 31
rightwards double arrow straight x equals 13 cross times 11 straight p plus 26 plus 5
rightwards double arrow straight x equals 13 cross times 11 straight p plus 13 cross times 2 plus 5
rightwards double arrow straight x equals 13 open parentheses 11 straight p plus 2 close parentheses plus 5
So comma space when space straight x space is space divided space by space 13 comma space it space leaves space remainder space 5.
Answered by Renu Varma | 16 Jul, 2020, 12:19: PM
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