PYQ Vault
EbooksTutor

Day 221: NDA Maths

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

  1. Question 1

    3D Geometry. Asked once: NDA 2 2017 (same type asked 4 times)

    53
    If the angle between the lines whose direction ratios are ⟨2,−1,2⟩\langle 2, -1, 2\rangle and ⟨x,3,5⟩\langle x, 3, 5\rangle is π4\dfrac{\pi}{4}, then the smaller value of xx is

    Tap an option to check your answer.

  2. Question 2

    Binomial Distribution. Asked once: NDA 2 2019 (same type asked 4 times)

    115
    If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes ?

    Tap an option to check your answer.

  3. Question 3

    Statistics. Asked once: NDA 1 2019 (same type asked 4 times)

    117
    Let the correlation coefficient between X and Y be 0.6. Random variables Z and W are defined as Z=X+5Z=X+5 and W=Y3W=\dfrac{Y}{3}. What is the correlation coefficient between Z and W?

    Tap an option to check your answer.

  4. Question 4

    3D Geometry. Asked once: NDA 1 2017 (same type asked 4 times)

    63
    The points P(3,2,4)P(3, 2, 4), Q(4,5,2)Q(4, 5, 2), R(5,8,0)R(5, 8, 0) and S(2,−1,6)S(2, -1, 6) are

    Tap an option to check your answer.

  5. Question 5

    Complex Numbers. Asked once: NDA 2 2018 (same type asked 4 times)

    15
    What is the value of (−1+i32)3n+(−1−i32)3n\left(\frac{-1+i\sqrt{3}}{2}\right)^{3n} + \left(\frac{-1-i\sqrt{3}}{2}\right)^{3n}, where i=−1i = \sqrt{-1}?

    Tap an option to check your answer.