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Answer :
We are given the following division problems:
1. [tex]$$5675 \div 3$$[/tex]
2. [tex]$$5676 \div 83$$[/tex]
3. [tex]$$5677 \div 83$$[/tex]
4. [tex]$$5678 \div 83$$[/tex]
Our goal is to identify which division leaves a remainder of [tex]$$34$$[/tex].
Let's calculate the remainder for each option:
1. When dividing [tex]$$5675$$[/tex] by [tex]$$3$$[/tex], the remainder is [tex]$$2$$[/tex].
2. When dividing [tex]$$5676$$[/tex] by [tex]$$83$$[/tex], the remainder is [tex]$$32$$[/tex].
3. When dividing [tex]$$5677$$[/tex] by [tex]$$83$$[/tex], the remainder is [tex]$$33$$[/tex].
4. When dividing [tex]$$5678$$[/tex] by [tex]$$83$$[/tex], the remainder is [tex]$$34$$[/tex].
Thus, the fourth option, [tex]$$\displaystyle 5678 \div 83$$[/tex], leaves a remainder of [tex]$$34$$[/tex].
The correct answer is: Option 4.
1. [tex]$$5675 \div 3$$[/tex]
2. [tex]$$5676 \div 83$$[/tex]
3. [tex]$$5677 \div 83$$[/tex]
4. [tex]$$5678 \div 83$$[/tex]
Our goal is to identify which division leaves a remainder of [tex]$$34$$[/tex].
Let's calculate the remainder for each option:
1. When dividing [tex]$$5675$$[/tex] by [tex]$$3$$[/tex], the remainder is [tex]$$2$$[/tex].
2. When dividing [tex]$$5676$$[/tex] by [tex]$$83$$[/tex], the remainder is [tex]$$32$$[/tex].
3. When dividing [tex]$$5677$$[/tex] by [tex]$$83$$[/tex], the remainder is [tex]$$33$$[/tex].
4. When dividing [tex]$$5678$$[/tex] by [tex]$$83$$[/tex], the remainder is [tex]$$34$$[/tex].
Thus, the fourth option, [tex]$$\displaystyle 5678 \div 83$$[/tex], leaves a remainder of [tex]$$34$$[/tex].
The correct answer is: Option 4.
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