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Day 16: NDA Maths

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

  1. Question 1

    Functions. This type asked 4 times: NDA 1 2017, NDA 2 2022, NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    72
    If f(x)=4x+1f(x)=4x+1 and g(x)=kx+2g(x)=kx+2 such that f∘g(x)=g∘f(x)f\circ g(x)=g\circ f(x), then what is the value of kk?

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  2. Question 2

    Inverse Trigonometry. This type asked 4 times: NDA 1 2021, NDA 1 2022, NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    21
    If 4sin⁡−1x+cos⁡−1x=π4\sin^{-1}x+\cos^{-1}x=\pi, then what is sin⁡−1x+4cos⁡−1x\sin^{-1}x+4\cos^{-1}x equal to?

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  3. Question 3

    Probability. This type asked 4 times: NDA 2 2018, NDA 1 2019, NDA 1 2020, NDA 2 2024. This one: NDA 2 2024

    118
    Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?

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  4. Question 4

    Probability. This type asked 4 times: NDA 2 2021, NDA 2 2023, NDA 1 2024, NDA 2 2024. This one: NDA 2 2024

    108
    The letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur alternatively?

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  5. Question 5

    Sets & Relations. This type asked 4 times: NDA 1 2017, NDA 1 2021, NDA 2 2022, NDA 2 2024. This one: NDA 2 2024

    2
    Consider the following statements: A. The set of all irrational numbers between 12\sqrt{12} and 15\sqrt{15} is an infinite set. B. The set of all odd integers less than 1000 is a finite set. Which of the statements given above is/are correct?

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