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Day 381: NDA Maths

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

  1. Question 1

    Probability. Asked once: NDA 2 2018

    112
    If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct? 1. P(Aˉ)+P(Bˉ)=2−2p−qP(\bar{A})+P(\bar{B})=2-2p-q 2. P(Aˉ∩Bˉ)=1−p−qP(\bar{A}\cap\bar{B})=1-p-q Select the correct answer using the code given below:

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  2. Question 2

    Trigonometric Identities. Asked once: NDA 2 2018

    38
    If A+B+C=180°A + B + C = 180°, then what is sin⁡2A−sin⁡2B−sin⁡2C\sin 2A - \sin 2B - \sin 2C equal to?

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  3. Question 3

    Matrices & Determinants. Asked once: NDA 2 2019

    11
    What is the value of the determinant ∣1!2!3!2!3!4!3!4!5!∣\begin{vmatrix} 1! & 2! & 3! \\ 2! & 3! & 4! \\ 3! & 4! & 5! \end{vmatrix} ?

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  4. Question 4

    Probability. Asked once: NDA 2 2018

    108
    Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. The probability that the three selected consist of 1 girl and 2 boys is

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  5. Question 5

    Trigonometric Identities. Asked once: NDA 2 2018

    50
    If A=sin⁡2θ+cos⁡4θA = \sin^2\theta + \cos^4\theta, then for all real θ\theta, which one of the following is correct?

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