Aspire Faculty ID #15012 · Topic: UGC NET Computer Science 26 June 2025 (Paper II) · Just now
UGC NET Computer Science 26 June 2025 (Paper II)

A positive integer is selected at random from the set of positive integers not exceeding 200. What is the probability that the selected number is divisible by either 2 or 5?

Solution

Let total numbers = 200 Divisible by 2 → 200/2 = 100 Divisible by 5 → 200/5 = 40 Divisible by both (LCM 10) → 200/10 = 20 Using inclusion–exclusion: n(2 ∪ 5) = 100 + 40 − 20 = 120 Probability = 120 / 200 = 3/5

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