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Mathematics · 2020

JEE Main · 7 January 2020, Shift 2 · Q71

Let X ={ n ∈ N: 1 ≤ n ≤ 50}. If A ={ n ∈ X: n is a multiple of 2 } and B ={ n ∈ X: n is a multiple of 7 }, then the number of elements in the…

Let $\displaystyle \mathrm{X}=\{\mathrm{n} \in \mathrm{N}: 1 \leq \mathrm{n} \leq 50\}$. If $\displaystyle \mathrm{A}=\{\mathrm{n} \in \mathrm{X}: \mathrm{n}$ is a multiple of $\displaystyle 2 \}$ and $\displaystyle \mathrm{B}=\{\mathrm{n} \in \mathrm{X}: \mathrm{n}$ is a multiple of $\displaystyle 7 \}$, then the number of elements in the smallest subset of X containing both A and B is \_\_\_\_.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.