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CUET Mathematics Mock Test - 3

Medium 50 Questions 50 min 50 marks

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50 min · 50 marks · Full test mode with leaderboard

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Question No: 26Difficulty: mediumMarks: 1mcq

Find lim_{n \to \infty} (\frac{1}{n} + \frac{1}{n + 1} + \frac{1}{n + 2} + \dots + \frac{1}{3 n})

Question No: 27Difficulty: mediumMarks: 1mcq

If a matrix A is such that 3 A^{3} + 2 A^{2} + 5 A + I = O, then what is A^{- 1} equal to?

Question No: 28Difficulty: mediumMarks: 1mcq

Let A and B be two events such that P (\overset{ˉ}{A \cup B}) = \frac{1}{6}, P (A \cap B) = \frac{1}{4} and P (\overset{ˉ}{A}) = \frac{1}{4} . Then, events A and B are:

Question No: 29Difficulty: mediumMarks: 1mcq

Maximize Z = 2 X_{1} + 3 X_{2} subject to 2 X_{1} + X_{2} \leq 6, X_{1} - X_{2} \geq 3, X_{1}, X_{2} \geq 0 . The solution to the LPP is:

Question No: 30Difficulty: mediumMarks: 1mcq

Which of the following is NOT true for matrices A, B, C (assuming dimensions allow operations)?

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