CAT (QA) PYQs

If $a, b, c$ are three positive integers such that a and b are in the ratio $3 : 4$ while $b$ and $c$ are in the ratio $2:1$, then which one of the following is a possible value of $(a + b + c)$?

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

The scores of Amal and Bimal in an examination are in the ratio $11:14$. After an appeal, their scores increase by the same amount and their new scores are in the ratio $47 : 56$. The ratio of Bimal's new score to that of his original score is