PYQ Vault

Day 55: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Matrices & Determinants. This type asked 2 times: NDA 1 2023, NDA 2 2026. This one: NDA 2 2026

    21
    Let AA and BB be symmetric matrices of the same order. Which of the following statements is/are correct? I. (AB−BA)(AB - BA) is also a symmetric matrix. II. (BA−AB)(BA - AB) is a skew-symmetric matrix. Select the answer using the code given below.

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  2. Question 2

    Permutation & Combination. This type asked 2 times: NDA 2 2018, NDA 2 2026. This one: NDA 2 2026

    24
    4-digit numbers are formed with 1, 2, 3 and 4. What is the number of the 4-digit numbers in which at least one digit is repeated?

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  3. Question 3

    Sets & Relations. This type asked 2 times: NDA 2 2021, NDA 2 2026. This one: NDA 2 2026

    49
    Consider the following statements in respect of a relation RR from a set AA to a set BB : I. The set BB is called codomain of the relation RR. II. The range of the relation is always equal to codomain of the relation RR. III. The domain of the relation RR must be equal to the set AA. Which of the statements given above is/are correct?

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  4. Question 4

    Statistics. This type asked 2 times: NDA 1 2018, NDA 2 2026. This one: NDA 2 2026

    104
    If the correlation coefficient between the variables XX and YY is zero, then the two lines of regression are

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  5. Question 5 (case study, 2 parts)

    Trigonometric Identities. This type asked 2 times: NDA 1 2024, NDA 2 2026. This one: NDA 2 2026

    For the next two (02) items that follow : Let 4(A+B)=π4(A + B) = \pi.
    9
    What is (1+tan⁡A)(1+tan⁡B)(1 + \tan A)(1 + \tan B) equal to?

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    10
    What is (cot⁡A−1)(cot⁡B−1)(\cot A - 1)(\cot B - 1) equal to?

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