IPMAT Indore (MCQ) PYQs

$\dfrac{(a + b)}{(b + c)} = \dfrac{(c + d)}{(d + a)}$ which of the following statements is always true?

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

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