Mathematics · 2025
JEE Main · 22 January 2025, Shift 1 · Q22
If Σ_r=0^5 (^11 C_2 r +1)/(2 r +2)=m/n, gcd ( m, n )=1, then m - n is equal to ____.
If $\displaystyle \sum_{r=0}^5 \frac{{ }^{11} \mathrm{C}_{2 \mathrm{r}+1}}{2 \mathrm{r}+2}=\frac{\mathrm{m}}{\mathrm{n}}, \operatorname{gcd}(\mathrm{m}, \mathrm{n})=1$, then $\displaystyle \mathrm{m}-\mathrm{n}$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
2035
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.