CAT (QA) PYQs

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3: 5$. If the total number of persons in the queue is less than $300$, then the maximum possible number of persons standing ahead of Pinky 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

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