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Day 77: NDA Maths

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

  1. Question 1

    Probability. This type asked 2 times: NDA 1 2018, NDA 2 2022. This one: NDA 2 2022

    115
    The completion of a construction job may be delayed due to strike. The probability of strike is 0.6. The probability that the construction job gets completed on time if there is no strike is 0.85 and the probability that the construction job gets completed on time if there is a strike is 0.35. What is the probability that the construction job will not be completed on time?

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  2. Question 2

    Quadratic Equations. This type asked 2 times: NDA 2 2019, NDA 2 2022. This one: NDA 2 2022

    11
    Let p,qp, q (p>qp > q) be the roots of the quadratic equation x2+bx+c=0x^2 + bx + c = 0 where c>0c > 0. If p2+q2−11pq=0p^2 + q^2 - 11pq = 0, then what is p−qp - q equal to?

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  3. Question 3

    Application of Derivatives. This type asked 2 times: NDA 1 2019, NDA 1 2022. This one: NDA 1 2022

    79
    If xy=4225xy=4225 where x,yx, y are natural numbers, then what is the minimum value of x+yx+y?

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  4. Question 4

    Binary Numbers. This type asked 2 times: NDA 2 2017, NDA 1 2022. This one: NDA 1 2022

    53
    What is (1110011)2÷(10111)2(1110011)_2\div(10111)_2 equal to?

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  5. Question 5

    Differential Equations. This type asked 2 times: NDA 1 2021, NDA 1 2022. This one: NDA 1 2022

    72
    If dydx=(ln⁡5)y\frac{dy}{dx}=(\ln5)y with y(0)=ln⁡5y(0)=\ln5, then what is y(1)y(1) equal to?

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