PYQ Vault

Day 157: NDA Maths

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

  1. Question 1

    Sets & Relations. Asked once: NDA 1 2019 (same type asked 2 times)

    15
    If A={λ,{λ,μ}}A = \{\lambda, \{\lambda, \mu\}\}, then the power set of A is

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  2. Question 2

    Sets & Relations. Asked once: NDA 1 2020 (same type asked 2 times)

    47
    Consider the proper subsets of {1,2,3,4}\{1,2,3,4\}. How many of these proper subsets are superset of the set {3}\{3\}?

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  3. Question 3

    Statistics. Asked once: NDA 1 2020 (same type asked 2 times)

    101
    The numbers 4 and 9 have frequencies xx and (x−1)(x-1) respectively. If their arithmetic mean is 6, then what is the value of xx?

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  4. Question 4

    Vectors. Asked once: NDA 2 2019 (same type asked 2 times)

    50
    If a⃗\vec{a} and b⃗\vec{b} are unit vectors and θ\theta is the angle between them, then what is sin⁡2(θ2)\sin^{2}\left(\dfrac{\theta}{2}\right) equal to ?

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  5. Question 5

    3D Geometry. Asked once: NDA 1 2020 (same type asked 2 times)

    65
    What is the equation of the plane which cuts an intercept 5 units on the z-axis and is parallel to xy-plane?

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