PYQ Vault

Day 66: NDA Maths

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

  1. Question 1

    Matrices & Determinants. This type asked 2 times: NDA 2 2023, NDA 2 2024. This one: NDA 2 2024

    20
    If PP is a skew-symmetric matrix of order 3, then what is det⁡(P)\det(P) equal to?

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  2. Question 2

    Probability. This type asked 2 times: NDA 1 2023, NDA 2 2024. This one: NDA 2 2024

    114
    Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?

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  3. Question 3

    Probability. This type asked 2 times: NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    106
    A bowl contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability that all three are of the same colour?

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  4. Question 4

    Properties of Triangle. This type asked 2 times: NDA 2 2017, NDA 2 2024. This one: NDA 2 2024

    24
    The roots of the equation 7x2−6x+1=07x^2-6x+1=0 are tan⁡α\tan\alpha and tan⁡β\tan\beta, where 2α2\alpha and 2β2\beta are the angles of a triangle. Which one of the following is correct?

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  5. Question 5

    Sequence & Series. This type asked 2 times: NDA 2 2022, NDA 2 2024. This one: NDA 2 2024

    38
    In an AP, the ratio of the sum of the first pp terms to the sum of the first qq terms is p2:q2p^2:q^2. Which one of the following is correct?

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