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JEE Main202325 Jan 2023Evening ShiftMathematicsBinomial TheoremActual

The remainder when 2023 2023 is divided by 35 is

Correct answer

7

Step-by-step solution

To find the remainder when 2023 2023 is divided by 35 we will use binomial expansion, Now rewriting above expression we get, 2023 2023 = 2030 - 7 2023 ⇒ 2030 - 7 2023 = C 0 2023 2030 2023 - C 1 2023 2030 2022 × 7 + . . . . . - 7 2023 ⇒ 2030 - 7 2023 = 35 k - 7 2023 ; k ∈ Z . as   2030   is   multiple   of  35 Now remainder will be - 7 2023 . Rewriting - 7 2023 , we get - 7 2023 = - 7 3 674 × 7 = - 7 3 674 × 7 = - 343 674 × 7 = - 343 674 × 7 = - 350

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