PYQ Vault

Day 24: NDA Maths

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

  1. Question 1

    Lines. This type asked 3 times: NDA 1 2020, NDA 1 2021, NDA 2 2026. This one: NDA 2 2026

    58
    ABCDABCD is a square. The equations of ABAB, ADAD and BDBD are y=0y = 0, x=0x = 0 and x+y−4=0x + y - 4 = 0 respectively. What is the equation of ACAC?

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  2. Question 2

    Matrices & Determinants. This type asked 3 times: NDA 2 2018, NDA 1 2022, NDA 2 2026. This one: NDA 2 2026

    17
    If AA is a square matrix of order 3 such that A(adjA)=[640006400064]A(\text{adj} A) = \begin{bmatrix} 64 & 0 & 0 \\ 0 & 64 & 0 \\ 0 & 0 & 64 \end{bmatrix} then what is ∣A∣|A| equal to?

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  3. Question 3

    Probability. This type asked 3 times: NDA 1 2021, NDA 2 2021, NDA 2 2026. This one: NDA 2 2026

    112
    Consider the following statements for three events AA, BB and CC : I. P(A∩B∩C)≤P(A)+P(B)+P(C)−2P(A \cap B \cap C) \le P(A) + P(B) + P(C) - 2 II. P(A∪B∪C)≥P(A)+P(B)+P(C)P(A \cup B \cup C) \ge P(A) + P(B) + P(C) Which of the statements given above is/are correct?

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  4. Question 4

    Sets & Relations. This type asked 3 times: NDA 1 2020, NDA 1 2024, NDA 2 2026. This one: NDA 2 2026

    23
    Let SS be the set of all real numbers and RR be a relation on SS defined by xRy⇒∣x∣≤yxRy \Rightarrow |x| \le y. Then RR is

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  5. Question 5

    Sets & Relations. This type asked 3 times: NDA 1 2018, NDA 2 2019, NDA 2 2026. This one: NDA 2 2026

    47
    A research group conducted a survey of 500 consumers and reported that 370 consumers preferred product XX and 240 consumers preferred product YY. What is the least number that must have preferred both the products?

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