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      Question

      A three-digit number 4c7 is added

      to the number 538 to give a three-digit number 9d5 which is divisible by 9. Find the value of (d - c).
      A 4 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Given: 4c7 + 538 = 9d5 9d5 is divisible by 9 Find = d−c Try c 407+538=945=9d5⇒d=4 Check divisibility by 9: 9+4+5=18 ⇒ ✅divisibleby9 Result = c=0, d=4 ⇒ d−c=4−0= 4

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