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      Question

      If 94*6714 is divisible by 11, where * is a digit, then

      * is equal to
      A 4 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 2 Correct Answer Incorrect Answer

      Solution

      A number is divisible by 11, if the difference between the sum of its digit at even places and the sum of its digits at odd places is either 0 or a number divisible by 11.  ( 9 + * +  7 + 4 ) – ( 4 + 6 + 1 ) = 0 or multiple of 11 ⇒ 20 +  * - 11 = 11 ⇒ * + 9 = 11 * = 11 - 9  = 2 * = 2

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