Question

which expression can have a remainder greater than 7? 3,085 ÷ 2 5,427 ÷ 4 9,406 ÷ 5 4,337 ÷ 9

Explanation:

Step1: Recall remainder rule

The maximum possible remainder of a division $n\div d$ is $d-1$, where $d$ is the divisor.

Step2: Calculate max remainder for each option

• For $3,085\div2$: Max remainder $=2-1=1$
• For $9,406\div5$: Max remainder $=5-1=4$
• For $5,427\div4$: Max remainder $=4-1=3$
• For $4,337\div9$: Max remainder $=9-1=8$

Step3: Compare to 7

Only $8>7$, so this expression can have a remainder greater than 7.

Answer:

$4,337 \div 9$