Question

    If the number 10293y8 is divisible by 11, then what is

    the value of y?
    A 6 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 2 Correct Answer Incorrect Answer

    Solution

    To determine if the number 10293y8 is divisible by 11, we apply the divisibility rule for 11: Calculate the alternating sum and difference: S1-0-2-93-y+8 Simplifying- S=(1+2+3+8)-(0+9+y) S=14-9-у S=5-y For the number to be divisible by 11, S must be divisible by 11 or equal to 0. Therefore: 5- y = 0 (mod 11) y =5.

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