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Day 170: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2022 (same type asked 6 times)

    51
    If the sum of the first 9 terms of an AP is equal to sum of the first 11 terms, then what is the sum of the first 20 terms?

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  2. Question 2

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

    115
    The standard deviation of 100 observations is 10. If 5 is multiplied to each of the observations, then what is the new standard deviation?

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  3. Question 3

    3D Geometry. Asked once: NDA 2 2023 (same type asked 6 times)

    99
    What is the equation of the sphere concentric with x2+y2+z2−2x−6y−8z−5=0x^2+y^2+z^2-2x-6y-8z-5=0 and passing through the origin?

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  4. Question 4

    Sets & Relations. Asked once: NDA 2 2023 (same type asked 6 times)

    24
    Consider: (1) A=(A∪B)∪(A−B)A=(A\cup B)\cup(A-B). (2) A∪(B−A)=(A∪B)A\cup(B-A)=(A\cup B). (3) B=(A∪B)−(A−B)B=(A\cup B)-(A-B). Which are correct?

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  5. Question 5

    Differential Equations. Asked once: NDA 1 2019 (same type asked 6 times)

    90
    Consider the following in respect of the differential equation: d2ydx2+2(dydx)2+9y=x\dfrac{d^2y}{dx^2}+2\left(\dfrac{dy}{dx}\right)^2+9y=x. 1. The degree of the differential equation is 1. 2. The order of the differential equation is 2. Which of the above statements is/are correct?

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