JEE Main202225 Jul 2022Evening ShiftMathematicsBinomial TheoremActual

The remainder when 11 1011 + 1011 11 is divided by 9 is _____ .

Options

Correct answer

B. 8

Step-by-step solution

11 1011 = 11 3 327 = 9 k + 8 327 when divided by 9 is equivalent to the division of 8 327 = 9 - 1 327 i.e. remainder = - 1 + 9 = 8 Now, 1011 11 = 9 m + 3 11 when divided by 9 is equivalent to the division of 3 11 = 9 5 × 3 i.e. remainder = 0 ∴       11 1011 + 1011 11 has same remainder as 8 .

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