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The remainder on dividing 1234⁵⁶⁷+89¹⁰¹¹ by 12 is

Options

  1. A1
  2. B5
  3. C9
  4. Dnone of these

Correct answer

C. 9

Step-by-step solution

1234=3 n+1 so 1234⁵⁶⁷=3 m+1,89=3 k-1 , so 89¹⁰¹¹=3 p-1 . Hence 1234⁵⁶⁷+89¹⁰¹¹=3 n 1234 is even, So 1234⁵⁶⁷=4 q. 89=4 r+1 , so 89¹⁰¹¹=4 t+1 Hence 1234⁵⁶⁷+89¹⁰¹¹=4 I+1 . So it is 9 x+1 .

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