MAT Exam 2024 Paper

Concept:Use the addition rule of probability for non-mutually exclusive events.Explanation:Total possible outcomes $= 25$.Multiples of 3 from 1 to 25: $3, 6, 9, 12, 15, 18, 21, 24$.So, favorable cases for multiple of 3 $= 8$.Multiples of 5 from 1 to 25: $5, 10, 15, 20, 25$.So, favorable cases for multiple of 5 $= 5$.Common multiples of 3 and 5 are multiples of 15: only $15$.So, common cases $= 1$.Total favorable outcomes $= 8 + 5 - 1 = 12$.Required probability $= \frac{12}{25}$.Answer:$\frac{12}{25}$, i.e., Option A.