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Question

3232329 will leave a remainder

A
4
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B
7
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C
1
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D
2
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Solution

The correct option is A 4
323232÷953232÷9=56n+x÷9. We write this in the form of 56n+x because 56 leaves a remainder of 1 when divided by 9. When we try to see 3232 as 6n +x, we can find the value of x as the remainder of 232 when divided by 6. The following thought process would help us find this value:
232÷6=231÷3 Remanider =2 (by the an÷(a+1) rule). Thus, 232÷6 would have a remainder of 2×2=4.
Hence, the required remainder would be 54÷9, which is 4.

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