PYQ Vault

Day 137: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Mathematical Logic. Asked 2 times: 10 May 2023 S1, 9 May 2024 S2 See all 2 times it was asked

    111
    Negation of the statement: 'The payment will be made if and only if the work is finished in time.' is

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  2. Question 2

    Probability Distribution. Asked 2 times: 10 May 2023 S2*, 9 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    148
    A random variable X assumes values 1,2,3,…,n1,2,3,\ldots,n with equal probabilities, if Var(X)=E(X)\text{Var}(X) = E(X), then nn is

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  3. Question 3

    Probability Distribution. Asked 2 times: 9 May 2023 S2*, 9 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    142
    A problem in statistics is given to three students A, B and C. Their probabilities of solving the problem are 12,13\frac{1}{2},\frac{1}{3} and 14\frac{1}{4} respectively. If all of them try independently, then the probability that the problem is solved is

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  4. Question 4

    Straight Line. Asked 2 times: 10 May 2023 S2*, 9 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    105
    The equation of a line, whose perpendicular distance from the origin is 7 units and the angle which the perpendicular to the line from the origin makes is 120∘120^\circ with positive X-axis, is

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  5. Question 5

    Vectors. Asked 2 times: May 2022 S1*, 9 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    120
    The magnitude of the projection of the vector 2i^+j^+k^2\hat{i}+\hat{j}+\hat{k} on the vector perpendicular to the plane containing the vectors i^+j^+k^\hat{i}+\hat{j}+\hat{k} and i^+2j^+3k^\hat{i}+2\hat{j}+3\hat{k} is

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