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      Question

      which of the following pairs of non-zeroes values of p

      and q make the 6-digit number 674pq0 divisible by both 3 and 11?
      A p= 5 and q=2 Correct Answer Incorrect Answer
      B p =2 and q =2 Correct Answer Incorrect Answer
      C p=5 and q =4 Correct Answer Incorrect Answer
      D p= 4 and q =1 Correct Answer Incorrect Answer

      Solution

      According to the option- Option 1: p = 5 and q = 2 Sum of the digits = 6+7+4+5+2+0=24 (divisible by 3) Alternating sum=6-7+4-5+2-0=0 (divisible by 11) This option passes the divisibility tests for both 3 and 11.

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