PYQ Vault

Day 188: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 2 2018 (same type asked 3 times)

    30
    Let matrix B be the adjoint of a square matrix A, ll be the identity matrix of same order as A. If kk (≠0)(\neq 0) is the determinant of the matrix A, then what is AB equal to?

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  2. Question 2

    Probability. Asked once: NDA 1 2021 (same type asked 3 times)

    110
    Let two events AA and BB be such that P(A)=LP(A)=L and P(B)=MP(B)=M. Which one of the following is correct?

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  3. Question 3

    Sets & Relations. Asked once: NDA 1 2020 (same type asked 3 times)

    11
    Let S={1,2,3,…}S=\{1,2,3,\ldots\}. A relation RR on S×SS\times S is defined by xRyxRy if log⁡ax>log⁡ay\log_a x > \log_a y when a=12a=\frac{1}{2}. Then the relation is

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  4. Question 4

    Sets & Relations. Asked once: NDA 1 2019 (same type asked 3 times)

    6
    Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements: 1. A⊂C⇒(A∩B)⊂(C∩B), (A∪B)⊂(C∪B)A \subset C \Rightarrow (A \cap B) \subset (C \cap B),\ (A \cup B) \subset (C \cup B) 2. (A∩B)⊂(C∩B)(A \cap B) \subset (C \cap B) for all sets B⇒A⊂CB \Rightarrow A \subset C 3. (A∪B)⊂(C∪B)(A \cup B) \subset (C \cup B) for all sets B⇒A⊂CB \Rightarrow A \subset C Which of the above statements are correct?

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  5. Question 5

    Statistics. Asked once: NDA 2 2017 (same type asked 3 times)

    112
    It is given that Xˉ=10\bar{X}=10, Yˉ=90\bar{Y}=90, σX=3\sigma_X=3, σY=12\sigma_Y=12 and rXY=0.8r_{XY}=0.8. The regression equation of XX on YY is

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