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    Question

    If the seven-digit number 94x29y6 is divisible by 72,

    then what is the value of (2x+3y) for x ≠ y?
    A 35 Correct Answer Incorrect Answer
    B 21 Correct Answer Incorrect Answer
    C 37 Correct Answer Incorrect Answer
    D 23 Correct Answer Incorrect Answer

    Solution

    94x29y6 is divisible by 72 => 72 = 8 × 9 Last three digits should be divisible by 8. So only 936 and 976 are completely divisible. That means y = 3 or 7 Putting x = 3 (given that x ≠ y) We can only put y = 7 94x2976 = divisibility rule of 9 (sum of digits should be divisible by 9) => x = 8 and y = 7 Now, (2x+3y) = 2 × 8 + 3 × 7 = 16 + 21 = 37

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