CAT (QA) PYQs

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

In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2 : 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If $3600$ males in the village are literate, then the total number of females in the village is

In September, the incomes of Kamal, Amal and Vimal are in the ratio $8 : 6 : 5$. They rent a house together, and Kamal pays $15\%$, Amal pays $12\%$ and Vimal pays $18\%$ of their respective incomes to cover the total house rent in that month. In October, the house rent remains unchanged while their incomes increase by $10\%$, $12\%$ and $15\%$, respectively. In October, the percentage of their total income that will be paid as house rent, is nearest to