IPMAT Indore 2023 (MCQ) PYQs

The probability that a randomly chosen positive divisor of $10 ^ {2023}$ is an integer multiple of $10 ^ {2001}$ is

The probability that a randomly chosen factor of $10^{19}$ is a multiple of $10^{15}$ is

From a pack of 52 cards, we draw one by one, without replacement. If $f(n)$ is the probability that an Ace will appear at the $n^{\text{th}}$ turn, then