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Day 210: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 2 2021 (same type asked 6 times)

    44
    Let SkS_{k} denote the sum of first kk terms of an AP. What is S30S20−S10\frac{S_{30}}{S_{20}-S_{10}} equal to?

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  2. Question 2

    Statistics. Asked once: NDA 1 2026 (same type asked 6 times)

    117
    If the random variable X has mean 3 and standard deviation 5, then what is the variance of the random variable Y=2X-5?

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  3. Question 3

    3D Geometry. Asked once: NDA 2 2022 (same type asked 6 times)

    63
    Consider the equation of a sphere x2+y2+z2−4x−6y−8z−16=0x^2 + y^2 + z^2 - 4x - 6y - 8z - 16 = 0. Which of the following statements is/are correct? 1. z-axis is tangent to the sphere. 2. The centre of the sphere lies on the plane x+y+z−9=0x + y + z - 9 = 0. Select the correct answer using the code given below:

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  4. Question 4

    Sets & Relations. Asked once: NDA 1 2019 (same type asked 6 times)

    5
    Consider the following statements for the two non-empty sets A and B: 1. (A∩B)∪(A∩Bˉ)∪(Aˉ∩B)=A∪B(A \cap B) \cup (A \cap \bar{B}) \cup (\bar{A} \cap B) = A \cup B 2. (A∪(Aˉ∩Bˉ))=A∪B(A \cup (\bar{A} \cap \bar{B})) = A \cup B Which of the above statements is/are correct?

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  5. Question 5

    Differential Equations. Asked once: NDA 1 2018 (same type asked 6 times)

    100
    What are order and degree of (d3ydx3)2=y4+(dydx)5\left(\frac{d^3y}{dx^3}\right)^2=y^4+\left(\frac{dy}{dx}\right)^5?

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