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Mathematics · 2023

JEE Main · 1 February 2023, Shift 2 · Q83

The sum of the common terms of the following three arithmetic progressions. 3,7,11,15, … …, 399, 2,5,8,11, … …, 359 and 2,7,12,17, … …, 197, is equal…

The sum of the common terms of the following three arithmetic progressions. $\displaystyle 3,7,11,15, \ldots \ldots, 399$, $\displaystyle 2,5,8,11, \ldots \ldots, 359$ and $\displaystyle 2,7,12,17, \ldots \ldots, 197$, is equal to $\displaystyle \_\_\_\_$.
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