Mathematics · 2022
JEE Main · 27 June 2022, Shift 2 · Q23
Let A be a matrix of order 2 × 2, whose entries are from the set {0,1,2,3,4,5}. If the sum of all the entries of A is a prime number p, 2<p<8, then…
Let $\displaystyle A$ be a matrix of order $\displaystyle 2 \times 2$, whose entries are from the set $\displaystyle \{0,1,2,3,4,5\}$. If the sum of all the entries of $\displaystyle A$ is a prime number $\displaystyle p, 2<p<8$, then the number of such matrices $\displaystyle A$ is \_\_\_\_.
Official answer
180
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.