Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q29
Let S ={4,6,9} and T ={9,10,11, …, 1000}. If A ={ a_1+ a_2+…+ a_k: k ∈ N, a_1, a_2, a_3, …, a_k. ε S}, then the sum of all the elements in the set T…
Let $\displaystyle \mathrm{S}=\{4,6,9\}$ and $\displaystyle \mathrm{T}=\{9,10,11, \ldots, 1000\}$. If $\displaystyle \mathrm{A}=\left\{\mathrm{a}_1+\mathrm{a}_2+\ldots+\mathrm{a}_{\mathrm{k}}: \mathrm{k} \in \mathbf{N}, \mathrm{a}_1, \mathrm{a}_2, \mathrm{a}_3, \ldots, \mathrm{a}_{\mathrm{k}}\right.$ $\displaystyle \epsilon S\}$, then the sum of all the elements in the set $\displaystyle \mathrm{T}-\mathrm{A}$ is equal to \_\_\_\_.
Official answer
11
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.