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Jee Main 2025 — Medium JEE math MCQ

Let \(A = \{1, 2, 3, \ldots, 10\}\) and \(B = \left\{ \frac{m}{n} : m, n \in A, m < n \text{ and } \gcd(m, n) = 1 \right\}\). Then \(n(B)\) is equal to
  1. A. \(36\)
  2. B. \(31\)
  3. C. \(37\)
  4. D. \(29\)

Solution

The correct option is **B**. (B. \(31\))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let A={1,2,3,…,10}A = \{1, 2, 3, \ldots, 10\} and B={mn:m,n∈A,m<n and gcd⁡(m,n)=1}B = \left\{ \frac{m}{n} : m, n \in A, m < n \text{ and } \gcd(m, n) = 1 \right\}. Then n(B)n(B) is equal to
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep