Question

    If the seven-digit number 52A6B7C is divisible by 33 and A, B, C are primes then the maximum value of 3A+2B+5C?

    A 26 Correct Answer Incorrect Answer
    B 24 Correct Answer Incorrect Answer
    C 29 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer

    Solution

    Given number- 52A6B7C. Difference between even and odd places numbers  sum  will be divisible by 11 ,0  or multiple of 11  5+A+B+C – 2+6+7=  11a A+B+C – 10 =11a       maximum or 0 is minimum So 3A+2B+5C = 3×3+2×5+5×2=9+10+10=29

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