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Day 60: NDA Maths

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

  1. Question 1

    Lines. This type asked 2 times: NDA 1 2021, NDA 2 2025. This one: NDA 2 2025

    57
    For different values of mm, the equation 4y=mx−m+24y=mx-m+2 represents

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  2. Question 2

    Matrices & Determinants. This type asked 2 times: NDA 2 2018, NDA 2 2025. This one: NDA 2 2025

    15
    Consider the following in respect of non-singular matrices AA and BB: I. (AB)−1=A−1B−1(AB)^{-1}=A^{-1}B^{-1} II. (BA)(AB)−1=I(BA)(AB)^{-1}=I, where II is the identity matrix III. (AB)T=ATBT(AB)^T = A^T B^T. How many of the above are correct?

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  3. Question 3

    Probability. This type asked 2 times: NDA 2 2019, NDA 2 2025. This one: NDA 2 2025

    108
    The probability that a student passes Physics test is 2/3 and the probability that he passes both Physics test and English test is 11/15. The probability that he passes at least one test is 4/5. What is the probability that he passes English test?

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  4. Question 4

    Probability. This type asked 2 times: NDA 2 2022, NDA 2 2025. This one: NDA 2 2025

    114
    Out of 50 consecutive natural numbers, two integers are chosen at random. What is the probability that their sum is odd?

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  5. Question 5

    Probability. This type asked 2 times: NDA 2 2017, NDA 2 2025. This one: NDA 2 2025

    113
    An integer is chosen at random from the first 50 integers. What is the probability that the integer is neither divisible by 5 nor 9?

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