PYQ Vault

Day 282: NDA Maths

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

  1. Question 1

    Lines. Asked once: NDA 2 2025

    60
    What is the sum of the intercepts of the line xa2+yb2=2a2+b2\dfrac{x}{a^2}+\dfrac{y}{b^2}=\dfrac{2}{a^2+b^2} on the coordinate axes?

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  2. Question 2

    Logarithms. Asked once: NDA 1 2023

    14
    If log⁡xa\log_x a, axa^x and log⁡bx\log_b x are in GP, then what is xx equal to?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 1 2026

    22
    If M is a square matrix such that M3=MM^3=M, then how many values of ∣M∣|M| are possible?

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  4. Question 4

    Permutation & Combination. Asked once: NDA 2 2023

    14
    A set SS contains (2n+1)(2n+1) elements. There are 4096 subsets of SS which contain at most nn elements. What is nn equal to?

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  5. Question 5

    Probability. Asked once: NDA 2 2025

    109
    An event XX can happen with probability pp and event YY can happen with probability qq. Further, XX and YY are independent events. Which of the following statements is/are correct? I. The probability that exactly one of the events happens is p+q−pqp+q-pq. II. The probability that at least one of the events happens is p+q−2pqp+q-2pq. Select the answer using the code given below.

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