IPMAT Indore 2022 (MCQ) PYQs

The highest possible value of the ratio of a four-digit number and the sum of its four digits is

Three friends divided some apples in the ratio $3 : 5 : 7$. After consuming 16 apples they found that the remaining number of apples with them was equal to the largest number of apples received by one of them at the beginning. The total number of apples these friends initially had was

Let $a, b, c, d$ be positive integers such that $a + b + c + d = 2023$. If $a: b = 2:5$ and $c:d=5:2$, then the maximum possible value of $a + c$ is