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Day 387: NDA Maths

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

  1. Question 1

    Probability. Asked once: NDA 2 2017

    111
    What is the probability that at least two persons out of a group of three persons were born in the same month (disregard year)?

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  2. Question 2

    Matrices & Determinants. Asked once: NDA 2 2017

    11
    If A=(4i−610i14i6+4i)A = \begin{pmatrix}4i-6 & 10i \\ 14i & 6+4i\end{pmatrix} and k=12ik = \dfrac{1}{2i}, where i=−1i = \sqrt{-1}, then kAkA is equal to

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  3. Question 3

    Probability. Asked once: NDA 1 2017

    115
    Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?

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  4. Question 4

    Matrices & Determinants. Asked once: NDA 2 2017

    8
    If α\alpha and β\beta are the roots of the equation 1+x+x2=01 + x + x^2 = 0, then the matrix product (1βαα)(αβ1β)\begin{pmatrix}1 & \beta \\ \alpha & \alpha\end{pmatrix}\begin{pmatrix}\alpha & \beta \\ 1 & \beta\end{pmatrix} is equal to

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  5. Question 5

    Probability. Asked once: NDA 1 2017

    106
    For two dependent events AA and BB, it is given that P(A)=0.2P(A)=0.2 and P(B)=0.5P(B)=0.5. If A⊆BA\subseteq B, then the values of conditional probabilities P(A∣B)P(A|B) and P(B∣A)P(B|A) are respectively

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