PYQ Vault
EbooksTutor

Day 325: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Sequence & Series. Asked once: NDA 1 2021

    52
    If x2,x,−8x^2, x, -8 are in AP, then which one of the following is correct?

    Tap an option to check your answer.

  2. Question 2

    Statistics. Asked once: NDA 1 2021

    108
    Let xx be the HM and yy be the GM of two positive numbers mm and nn. If 5x=4y5x=4y, then which one of the following is correct?

    Tap an option to check your answer.

  3. Question 3

    Trigonometric Equations. Asked once: NDA 2 2018

    40
    A is an angle in the fourth quadrant. It satisfies the trigonometric equation 3(3−tan⁡2A−cot⁡A)2=13(3-\tan^2 A - \cot A)^2 = 1. Which one of the following is a value of A?

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Identities. Asked once: NDA 2 2022

    47
    What is the value of cos⁡ ⁣(5π17)+cos⁡ ⁣(7π17)+2cos⁡ ⁣(11π17)cos⁡ ⁣(π17)\cos\!\left(\frac{5\pi}{17}\right)+\cos\!\left(\frac{7\pi}{17}\right)+2\cos\!\left(\frac{11\pi}{17}\right)\cos\!\left(\frac{\pi}{17}\right)?

    Tap an option to check your answer.

  5. Question 5 (case study, 2 parts)

    Vectors. Asked once: NDA 1 2023

    Consider the following for the next two (02) items that follow: Let a⃗=3i^+3j^+3k^\vec{a}=3\hat{i}+3\hat{j}+3\hat{k} and c⃗=j^−k^\vec{c}=\hat{j}-\hat{k}. Let b⃗\vec{b} be such that a⃗⋅b⃗=27\vec{a}\cdot\vec{b}=27 and a⃗×b⃗=9c⃗\vec{a}\times\vec{b}=9\vec{c}.
    65
    What is b⃗\vec{b} equal to?

    Tap an option to check your answer.

    66
    What is the angle between (a⃗+b⃗)(\vec{a}+\vec{b}) and c⃗\vec{c}?

    Tap an option to check your answer.