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Day 366: NDA Maths

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

  1. Question 1

    Probability. Asked once: NDA 2 2021

    118
    What is the probability that the roots of the equation x2+x+n=0x^{2}+x+n=0 are real, where n∈Nn\in\mathbb{N} and n<4n<4?

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  2. Question 2

    Statistics. Asked once: NDA 1 2018

    103
    If r=0.6, cov=27, var(y)=25, then what is var(x)?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2020

    96
    What is the minimum value of 3cos⁡(A+π3)3\cos\left(A+\frac{\pi}{3}\right) where A∈RA\in\mathbb{R}?

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  4. Question 4

    Vectors. Asked once: NDA 1 2018

    70
    If vectors k and A are parallel, what is kk⃗×A⃗k\vec{k}\times\vec{A} equal to?

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  5. Question 5

    Differentiation. Asked once: NDA 2 2017

    70
    Consider the following statements: 1. Derivative of f(x)f(x) may not exist at some point. 2. Derivative of f(x)f(x) may exist finitely at some point. 3. Derivative of f(x)f(x) may be infinite (geometrically) at some point. Which of the above statements are correct?

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