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Day 234: NDA Maths

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

  1. Question 1

    Matrices & Determinants. Asked once: NDA 1 2019 (same type asked 6 times)

    19
    A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?

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  2. Question 2

    Sequence & Series. Asked once: NDA 1 2017 (same type asked 6 times)

    10
    If the sum of mm terms of an AP is nn and the sum of nn terms is mm, then the sum of (m+n)(m+n) terms is

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  3. Question 3

    Statistics. Asked once: NDA 1 2025 (same type asked 6 times)

    114
    The standard deviation of 100 observations is 10. If 5 is added to each observation and then divided by 20, then what will be the new standard deviation?

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  4. Question 4

    3D Geometry. Asked once: NDA 1 2018 (same type asked 6 times)

    65
    What is the equation of the sphere with centre (-2,3,4) and radius 6?

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  5. Question 5

    Sets & Relations. Asked once: NDA 1 2017 (same type asked 6 times)

    23
    Consider the following in respect of sets AA and BB: 1. (A−B)∪B=A(A-B) \cup B = A 2. (A−B)∪A=A(A-B) \cup A = A 3. (A−B)∩B=ϕ(A-B) \cap B = \phi 4. A⊆B⇒A∪B=BA \subseteq B \Rightarrow A \cup B = B Which of the above are correct?

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