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JEE MainMathematics

If 683 + 883 is divided by 49, then the remainder is

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(1 + 7)83 + (7 - 1)83 = (1 + 7)83 - (1 - 7)83
= = (2 · 7 · 83) + 49I

where I an integer

∴ 14 × 83 = 1162

[IMAGE] ∴ remainder is 35

Source: Grass-G / M-02 Mathematics Paper-2.docx

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