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Day 379: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 1 2021

    14
    If AA and BB are square matrices of order 2 such that det⁡(AB)=det⁡(BA)\det(AB) = \det(BA), then which one of the following is correct?

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  2. Question 2

    Probability. Asked once: NDA 1 2019

    111
    Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?

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  3. Question 3

    Trigonometric Identities. Asked once: NDA 1 2019

    48
    What is (1+tan⁡αtan⁡β)2+(tan⁡α−tan⁡β)2−sec⁡2αsec⁡2β(1+\tan\alpha\tan\beta)^2+(\tan\alpha-\tan\beta)^2-\sec^2\alpha\sec^2\beta equal to?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 1 2021

    54
    The element in the iith row and the jjth column of a determinant of third order is equal to 2(i+j)2(i+j). What is the value of the determinant?

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  5. Question 5

    Probability. Asked once: NDA 1 2019

    104
    A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?

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