Day 377: NDA Maths

5 questions (7 parts). Try each one first, then open its answer.

Question 1
Probability. Asked once: NDA 1 2019
120 $If A and B are two events, then what is the probability of occurrence of either event A or event B?$
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Question 2
Statistics. Asked once: NDA 1 2017
112 $If the data are moderately non-symmetrical, then which one of the following empirical relationships is correct?$
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Question 3 (case study, 3 parts)
Trigonometric Identities. Asked once: NDA 1 2019
Consider the following for the next 03 (three) items: If $p = X\cos\theta - Y\sin\theta$ , $q = X\sin\theta + Y\cos\theta$ and $p^2 + 4pq + q^2 = AX^2 + BY^2$ , $0 \leq \theta \leq \dfrac{\pi}{2}$ .
33 $\theta$
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34 $What is the value of A?$
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35 $What is the value of B?$
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Question 4
Matrices & Determinants. Asked once: NDA 1 2021
20 $f(x) = \begin{vmatrix}1 & x & x+1\\2x & x(x-1) & x(x+1)\\3x(x-1) & 2(x-1)(x-2) & x(x+1)(x-1)\end{vmatrix}$
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Question 5
Probability. Asked once: NDA 1 2019
115 $\bar{A}$
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Question 1