JEE Main 2025 Mathematics question

MathematicsSequence and SeriesJEE Main 2025

Three distinct numbers are selected randomly from the set {1, 2, 3, …, 40}. If the probability, that the selected numbers are in an increasing G.P., is , gcd(m, n) = 1, then m + n is equal to .

Answer: 4949

Solution

Total favorable = 18 (from counting ratios 2,3,4,5,6). Probability = 18/9880 = 9/4940. m+n = 4949.

Question ID VK-002516