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MCQMediumJEE Main 2023 · 25 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 25 January, Shift 1

Let MM be the maximum value of the product of two positive integers when their sum is 6666. Let the sample space S={x∈Z:(66−x)x≥59M}S = \{x \in \mathbb{Z} : (66 - x)x \geq \frac{5}{9}M\} and the event A={x∈S:xA = \{x \in S : x is a multiple of 3}3\}. Then P(A)P(A) is equal to:

  • A

    1544\frac{15}{44}

  • B

    13\frac{1}{3}

  • C

    722\frac{7}{22}

  • D

    15\frac{1}{5}

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