PYQ Vault

Day 7: NDA Maths

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

  1. Question 1

    Differential Equations. This type asked 5 times: NDA 1 2020, NDA 1 2021, NDA 1 2022, NDA 1 2024, NDA 2 2025. This one: NDA 2 2025

    91
    What is the degree of the differential equation (d2ydx2)3/2=(dydx)5/2\left(\dfrac{d^2y}{dx^2}\right)^{3/2}=\left(\dfrac{dy}{dx}\right)^{5/2}?

    Tap an option to check your answer.

  2. Question 2

    Sequence & Series. This type asked 5 times: NDA 1 2020, NDA 2 2021, NDA 1 2023, NDA 2 2024, NDA 2 2025. This one: NDA 2 2025

    1
    If px=qy=rzp^x = q^y = r^z, where xx, yy and zz are in GP, then consider the following statements: I. pp, qq and rr are in AP. II. ln⁡p\ln p, ln⁡q\ln q and ln⁡r\ln r are in GP. Which of the statements given above is/are correct?

    Tap an option to check your answer.

  3. Question 3

    3D Geometry. This type asked 5 times: NDA 2 2019, NDA 1 2021, NDA 2 2022, NDA 1 2024, NDA 1 2025. This one: NDA 1 2025

    64
    If a line x+1p=y−1q=z−2r\frac{x+1}{p} = \frac{y-1}{q} = \frac{z-2}{r}, where p=2q=3rp = 2q = 3r, makes an angle θ\theta with the positive direction of yy-axis, then what is cos⁡2θ\cos 2\theta equal to?

    Tap an option to check your answer.

  4. Question 4

    Binomial Distribution. This type asked 5 times: NDA 2 2017, NDA 2 2018, NDA 2 2022, NDA 2 2024, NDA 1 2025. This one: NDA 1 2025

    118
    The probability of a man hitting a target is 15\frac{1}{5}. If the man fires 7 times, then what is the probability that he hits the target at least twice?

    Tap an option to check your answer.

  5. Question 5

    Statistics. This type asked 5 times: NDA 2 2019, NDA 1 2020, NDA 2 2021, NDA 2 2023, NDA 1 2025. This one: NDA 1 2025

    106
    The sum and the sum of squares of observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ΣX=200,ΣY=250,ΣX2=900\Sigma X = 200, \Sigma Y = 250, \Sigma X^2 = 900 and ΣY2=1400\Sigma Y^2 = 1400. Which one of the following statements is correct?

    Tap an option to check your answer.