Let M be the maximum value of the product of two positive integers when their sum is 66 . Let the sample space S= \{x \in Z: x(66-x) \geq \frac{5}{9} M\} and the event {\A}=\{ {\x} \in {\S}: {\x} is a multiple of 3\}. Then {\P}( {\A}) is equal to [25-Jan-2023 Shift 1]

JEE Mains 25-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 61 of 90

Marks: +1, -0

Let M be the maximum value of the product of two positive integers when their sum is 66 . Let the sample space S={x∈Z:x(66−x)≥‌

M} and the event A={x∈S:x is a multiple of 3}. Then P(A) is equal to

[25-Jan-2023 Shift 1]

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