PYQ Vault

Day 355: NDA Maths

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

  1. Question 1

    Sequence & Series. Asked once: NDA 2 2017

    28
    If 1⋅3+2⋅32+3⋅33+…+n⋅3n=(2n−1)3a+b41\cdot 3 + 2\cdot 3^2 + 3\cdot 3^3 + \ldots + n\cdot 3^n = \dfrac{(2n-1)3^a + b}{4}, then aa and bb are respectively

    Tap an option to check your answer.

  2. Question 2

    Statistics. Asked once: NDA 1 2019

    116
    Consider the following statements: 1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero. 2. Arithmetic mean > Median > Mode for a symmetric distribution. Which of the above statements is/are correct?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2021

    27
    If 7sin⁡θ+24cos⁡θ=257\sin\theta + 24\cos\theta = 25, then what is the value of (sin⁡θ+cos⁡θ)(\sin\theta + \cos\theta)?

    Tap an option to check your answer.

  4. Question 4

    Vectors. Asked once: NDA 1 2019

    66
    If a⃗=i^−2j^+5k^\vec{a}=\hat{i}-2\hat{j}+5\hat{k} and b⃗=2i^+j^−3k^\vec{b}=2\hat{i}+\hat{j}-3\hat{k} then what is (b⃗−a⃗)⋅(3a⃗+b⃗)(\vec{b}-\vec{a})\cdot(3\vec{a}+\vec{b}) equal to?

    Tap an option to check your answer.

  5. Question 5

    Differentiation. Asked once: NDA 1 2018

    98
    If y=ex2sin⁡2xy=e^{x^2}\sin 2x, what is dy/dx at x=πx=\pi?

    Tap an option to check your answer.