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Day 168: NDA Maths

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

  1. Question 1

    Probability. Asked once: NDA 2 2023 (same type asked 7 times)

    110
    A building may collapse due to faulty design (prob 0.1) or not (prob 0.9). Collapse prob: 0.95 if faulty, 0.45 if not. If building collapsed, what is probability it was due to faulty design?

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  2. Question 2

    Sequence & Series. Asked once: NDA 2 2024 (same type asked 7 times)

    13
    If the sum of the first nn terms of a series is n(2n+1)n(2n+1), then what is the nthn^{th} term?

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  3. Question 3

    Application of Derivatives. Asked once: NDA 1 2023 (same type asked 7 times)

    91
    Consider the following statements: 1. f(x)=ln⁡xf(x)=\ln x is increasing in (0,∞)(0,\infty) 2. g(x)=ex+e1/xg(x)=e^{x}+e^{1/x} is decreasing in (0,∞)(0,\infty) Which of the statements given above is/are correct?

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  4. Question 4

    Probability. Asked once: NDA 2 2022 (same type asked 7 times)

    107
    If P(A)=0.5P(A) = 0.5, P(B)=0.7P(B) = 0.7 and P(A∩B)=0.3P(A\cap B) = 0.3, then what is the value of P(A′∩B′)+P(A′∩B)+P(A∩B′)P(A'\cap B')+P(A'\cap B)+P(A\cap B')?

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  5. Question 5

    Binomial Distribution. Asked once: NDA 1 2018 (same type asked 6 times)

    101
    In Binomial distribution, mean is three times variance. What is the probability of exactly 3 successes in 5 trials?

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