The number of ways of selecting two numbers \(a\) and \(b, a\) \(\in\{2,4,6, \ldots, 100\}\) and \(b \in\{1,3,5, \ldots .99\}\) such that \(2\) is the remainder when \(a+b\) is divided by \(23\) is

[JEE Main 2023, 30 Jan (Shift 2)]

Question

The number of ways of selecting two numbers \(a\) and \(b, a\) \(\in\{2,4,6, \ldots, 100\}\) and \(b \in\{1,3,5, \ldots .99\}\) such that \(2\) is the remainder when \(a+b\) is divided by \(23\) is

[JEE Main 2023, 30 Jan (Shift 2)]

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The number of ways of selecting two numbers \(a\) and \(b, a\) \(\in\{2,4,6, \ldots, 100\}\) and \(b \in\{1,3,5, \ldots …

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