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Day 120: NDA Maths

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

  1. Question 1

    Binomial Distribution. Asked once: NDA 2 2024 (same type asked 3 times)

    120
    In a binomial distribution, if the mean is 6 and the standard deviation is 2\sqrt{2}, then what are the values of the parameters nn and pp respectively?

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  2. Question 2

    Inverse Trigonometry. Asked once: NDA 2 2018 (same type asked 3 times)

    45
    Consider the following values of x: 1. 8 2. −4-4 3. 16\frac{1}{6} 4. −14-\frac{1}{4} Which of the above values of x is/are the solution(s) of the equation tan⁡−1(2x)+tan⁡−1(3x)=π4\tan^{-1}(2x) + \tan^{-1}(3x) = \frac{\pi}{4}?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2020 (same type asked 3 times)

    12
    What is the value of the determinant ∣ii2i3i4i6i8i9i12i15∣\begin{vmatrix}i & i^2 & i^3 \\ i^4 & i^6 & i^8 \\ i^9 & i^{12} & i^{15}\end{vmatrix} where i=−1i=\sqrt{-1}?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2019 (same type asked 3 times)

    13
    If x+a+b+c=0x + a + b + c = 0, then what is the value of ∣x+abcax+bcabx+c∣\begin{vmatrix} x+a & b & c \\ a & x+b & c \\ a & b & x+c \end{vmatrix} ?

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  5. Question 5

    Sequence & Series. Asked once: NDA 1 2024 (same type asked 3 times)

    26
    If a,b,ca,b,c are in AP; b,c,db,c,d are in GP; c,d,ec,d,e are in HP, then which of the following is/are correct? (A) a,ca,c and ee are in GP. (B) 1a,1c,1e\dfrac{1}{a},\dfrac{1}{c},\dfrac{1}{e} are in GP. Select the correct answer using the code given below:

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