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

A fruit seller has a total of 187 fruits consisting of apples, mangoes and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes and half of the oranges, the ratio of number of unsold apples to number of unsold oranges becomes 3: 2. The total number of unsold fruits is

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is $3: 2$, while the ratio of the shares of Sunil and Mita is $4: 5$. If the difference between the largest and the smallest of these three shares is Rs $400$, then Sunil's share, in rupees, is