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Day 93: NDA Maths

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: NDA 2 2026 (same type asked 6 times)

    102
    If the random variable XX has mean 5 and standard deviation 4, then what is the standard deviation of the random variable Y=3X+4Y = 3X + 4?

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  2. Question 2 (case study, 2 parts)

    3D Geometry. Asked once: NDA 2 2024 (same type asked 6 times)

    Let 2x2+2y2+2z2+3x+3y+3z−6=02x^2+2y^2+2z^2+3x+3y+3z-6=0 be a sphere.
    65
    What is the diameter of the sphere?

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    66
    The centre of the sphere lies on the plane

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  3. Question 3

    Sets & Relations. Asked once: NDA 1 2024 (same type asked 6 times)

    24
    For any three non-empty sets A,B,CA,B,C, what is (A∪B)−{(A−B)∪(B−A)∪(A∩B)}(A\cup B)-\{(A-B)\cup(B-A)\cup(A\cap B)\} equal to?

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  4. Question 4

    Differential Equations. Asked once: NDA 2 2019 (same type asked 6 times)

    74
    What is the degree of the differential equation d3ydx3+(dydx)2−x2(d4ydx4)=0\dfrac{d^{3}y}{dx^{3}} + \left(\dfrac{dy}{dx}\right)^{2} - x^{2}\left(\dfrac{d^{4}y}{dx^{4}}\right) = 0 ?

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  5. Question 5 (case study, 2 parts)

    Application of Derivatives. Asked once: NDA 1 2026 (same type asked 5 times)

    For the next two (02) items that follow: Let S and T be the sets where f(x)=x33−5x22+6x+7f(x)=\frac{x^3}{3}-\frac{5x^2}{2}+6x+7 decreases and increases respectively.
    85
    What is T equal to?

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    86
    What is S equal to?

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