PYQ Vault

Day 154: NDA Maths

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

  1. Question 1

    Indefinite Integration. Asked once: NDA 2 2022 (same type asked 2 times)

    74
    What is ∫(xx)2(1+ln⁡x) dx\int (x^x)^2(1+\ln x)\,dx equal to?

    Tap an option to check your answer.

  2. Question 2

    Limits & Continuity. Asked once: NDA 2 2018 (same type asked 2 times)

    79
    What is lim⁡θ→01−cos⁡θθ\lim_{\theta\to0}\frac{\sqrt{1-\cos\theta}}{\theta} equal to?

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: NDA 1 2018 (same type asked 2 times)

    117
    One bag: 3W 2B; another: 5W 3B. Bag chosen randomly, ball drawn. P(white)?

    Tap an option to check your answer.

  4. Question 4

    Quadratic Equations. Asked once: NDA 2 2019 (same type asked 2 times)

    5
    What is the value of kk for which the sum of the squares of the roots of 2x2−2(k−2)x−(k+1)=02x^{2} - 2(k-2)x - (k+1) = 0 is minimum ?

    Tap an option to check your answer.

  5. Question 5

    Application of Derivatives. Asked once: NDA 1 2019 (same type asked 2 times)

    93
    What is the minimum value of a2x+b2ya^2x+b^2y where xy=c2xy=c^2?

    Tap an option to check your answer.