JEE Main202529 Jan 2025Evening ShiftMathematicsBinomial TheoremActual

The remainder, when 7¹⁰³ is divided by 23 , is equal to :

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Correct answer

D. 14

Step-by-step solution

aligned & 7¹⁰³=7 (7¹⁰² )=7(343)³⁴=7(345-2)³⁴ & 7¹⁰³=23 ~K ₁+7.2³⁴ aligned Now 7.2³⁴=7.2^2 2³² aligned & =28 (256)^4 & =28(253+3)^4 & 28 81 (23+5)(69+12) & 23 ~K ₂+60 & Remainder =14 aligned

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