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CAT 2023 Set-3 | Quantitative Aptitude | Question: 15

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The number of coins collected per week by two coin-collectors $A$ and $B$ are in the ratio $3: 4$. If the total number of coins collected by $A$ in $5$ weeks is a multiple of $7$, and the total number of coins collected by $B$ in $3$ weeks is a multiple of $24$, then the minimum possible number of coins collected by $A$ in one week is

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