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A positive integer p when divided …

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A positive integer p when divided by 11 gives 6 as remainder. What will be the remainder when 4p + 5 is divided by 11.

    • Posted by Dhanush .N 4 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Adithya Dev A 4 years, 5 months ago

    Remainder = 33q + 29//

    0Thank You

    Adithya Dev A 4 years, 5 months ago

    P = 11 * q + 6 = 11q + 6// (where q is quotient) (According to Euclid's division algorithm ie, Divident = Quotient * Divisor + Remainder). Therefore, r = 4P + 5 - 11q = 4 (11q + 6) + 5 - 11q = 44q + 24 + 5 - 11q = 33q + 29// Therefore, remainder = 29.

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