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Mathematics · 2022

JEE Main · 29 July 2022, Shift 1 · Q1

Let R be a relation from the set {1,2,3, …, 60} to itself such that R ={( a, b ): b = pq, where p, q ≥ 3 are prime numbers }. Then, the number of…

Let $\displaystyle R$ be a relation from the set $\displaystyle \{1,2,3, \ldots, 60\}$ to itself such that $\displaystyle \mathrm{R}=\{(\mathrm{a}, \mathrm{b}): \mathrm{b}=\mathrm{pq}$, where $\displaystyle \mathrm{p}, \mathrm{q} \geqslant 3$ are prime numbers $\displaystyle \}$. Then, the number of elements in R is :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.