• The product of two consecutive odd numbers is 19043. Which is the smaller one?

    A) 137

      B) 131

    C) 133

      D) 129

    Correct Answer:
    A) 137

    Description for Correct answer
    Let the two consecutive odd numbers are x and x + 2.

    According to the question,

    \( \Large x \left(x+2\right)=19043 \)

    \( \Large x^{2}+2x-19043=0 \)

    \( \Large x^{2}+139x-137x-19043=0 \)

    \( \Large x \left(x+139\right)-137 \left(x+139\right)=0 \)

    \( \Large \left(x+139\right) \left(x-137\right)=0 \)

    = x = 137, -139

    x = 137 [ignore -ve sign]

    So, the smallest one is 137.

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