PYQ Vault

Day 108: NDA Maths

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

  1. Question 1

    3D Geometry. Asked once: NDA 1 2021 (same type asked 4 times)

    69
    What is the number of possible values of kk for which the line joining the points (k,1,3)(k, 1, 3) and (1,−2,k+1)(1, -2, k+1) also passes through the point (15,2,−4)(15, 2, -4)?

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  2. Question 2

    Complex Numbers. Asked once: NDA 2 2019 (same type asked 4 times)

    18
    If α\alpha and β\beta are the roots of x2+x+1=0x^{2} + x + 1 = 0, then what is ∑j=03(αj+βj)\sum_{j=0}^{3}\left(\alpha^{j} + \beta^{j}\right) equal to ?

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  3. Question 3

    Complex Numbers. Asked once: NDA 1 2022 (same type asked 4 times)

    46
    What is the principal argument of 11+i\frac{1}{1+i} where i=−1i=\sqrt{-1}?

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  4. Question 4

    Statistics. Asked once: NDA 1 2021 (same type asked 4 times)

    102
    The numbers of Science, Arts and Commerce graduates working in a company are 30, 70 and 50 respectively. If these figures are represented by a pie chart, then what is the angle corresponding to Science graduates?

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  5. Question 5

    Trigonometric Identities. Asked once: NDA 1 2019 (same type asked 4 times)

    43
    What is the value of tan⁡75°+cot⁡75°\tan 75° + \cot 75°?

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