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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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