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Mathematics · 2026

JEE Main · 23 January 2026, Shift 2 · Q2

Consider two sets A ={x ∈ Z:|(|x-3|-3)| ≤ 1} and B ={x ∈ R -{1,2}: ((x-2)(x-4))/(x-1) log_e(|x-2|)=0}. Then the number of onto functions f: A → B is…

Consider two sets $\displaystyle \mathrm{A}=\{x \in \mathrm{Z}:|(|x-3|-3)| \leq 1\}$ and $\displaystyle \mathrm{B}=\left\{x \in \mathbb{R}-\{1,2\}: \frac{(x-2)(x-4)}{x-1} \log _e(|x-2|)=0\right\}$. Then the number of onto functions $\displaystyle f: \mathrm{A} \rightarrow \mathrm{B}$ is equal to
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.