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Day 113: NDA Maths

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

  1. Question 1

    Probability. Asked once: NDA 2 2021 (same type asked 3 times)

    101
    Consider the following relations for two events EE and FF: 1. P(E∩F)≥P(E)+P(F)−1P(E\cap F)\ge P(E)+P(F)-1 2. P(E∪F)=P(E)+P(F)+P(E∩F)P(E\cup F)=P(E)+P(F)+P(E\cap F) 3. P(E∪F)≤P(E)+P(F)P(E\cup F)\le P(E)+P(F) Which of the above relations is/are correct?

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  2. Question 2

    Sets & Relations. Asked once: NDA 1 2024 (same type asked 3 times)

    23
    Let RR be a relation on the open interval (−1,1)(-1,1) and is given by R={(x,y):∣x+y∣<2}R=\{(x,y):|x+y|<2\}. Then which of the following is correct?

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  3. Question 3

    Sets & Relations. Asked once: NDA 2 2019 (same type asked 3 times)

    9
    If a set AA contains 3 elements and another set BB contains 6 elements, then what is the minimum number of elements that (A∪B)(A \cup B) can have ?

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  4. Question 4

    Sets & Relations. Asked once: NDA 1 2022 (same type asked 3 times)

    42
    Consider the following statements in respect of two non-empty sets AA and BB: 1. x∉(A∪B)⇒x∉Ax\notin(A\cup B)\Rightarrow x\notin A or x∉Bx\notin B 2. x∉(A∩B)⇒x∉Ax\notin(A\cap B)\Rightarrow x\notin A and x∉Bx\notin B Which of the above statements is/are correct?

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  5. Question 5

    Statistics. Asked once: NDA 1 2020 (same type asked 3 times)

    117
    Let X and Y represent prices (in ₹) of a commodity in Kolkata and Mumbai respectively. It is given that Xˉ=65\bar{X}=65, Yˉ=67\bar{Y}=67, σX=2.5\sigma_X=2.5, σY=3.5\sigma_Y=3.5 and r(X,Y)=0.8r(X,Y)=0.8. What is the equation of regression of Y on X?

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