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Day 374: NDA Maths

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

  1. Question 1

    Functions. Asked once: NDA 2 2017

    86
    Which one of the following graphs represents the function f(x)=xx, x≠0f(x) = \dfrac{x}{x},\ x \neq 0?

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  2. Question 2

    Matrices & Determinants. Asked once: NDA 2 2021

    11
    If A=(1a01)A=\begin{pmatrix}1&a\\0&1\end{pmatrix} where a∈Na\in\mathbb{N}, then what is A100−A50−2A25A^{100}-A^{50}-2A^{25} equal to?

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  3. Question 3

    Probability. Asked once: NDA 2 2019

    109
    If a coin is tossed till the first head appears, then what will be the sample space ?

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  4. Question 4

    Statistics. Asked once: NDA 2 2017

    106
    Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of the following is the arithmetic mean of the smallest five observations in the data?

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  5. Question 5

    Trigonometric Identities. Asked once: NDA 1 2019

    96
    If sin⁡θ+cos⁡θ=2cos⁡θ\sin\theta+\cos\theta=\sqrt{2}\cos\theta, then what is (cos⁡θ−sin⁡θ)(\cos\theta-\sin\theta) equal to?

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