Day 243: NDA Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1
Matrices & Determinants. Asked once: NDA 2 2026
38 $ae + bg = cf + dh = p$
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Question 2
Permutation & Combination. Asked once: NDA 2 2026
25 $S = \{(x,\ y,\ z) \in R^3 : xyz = 210,\ x < y < z,$
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Question 3 (case study, 3 parts)
Probability. Asked once: NDA 2 2026
For the next three (03) items that follow : Five numbers are randomly picked from the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and arranged them in ascending order [ $x_1 < x_2 < x_3 < x_4 < x_5$ ; $x_1$ being the smallest number and $x_5$ being the largest number selected].
118 $P(x_1 = 4)$
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119 $P(x_3 = 6)$
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120 $P(x_1 = 2, x_2 = 3, x_3 = 8)$
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Question 4 (case study, 2 parts)
Properties of Triangle. Asked once: NDA 2 2026
For the next two (02) items that follow : In a triangle $ABC$ , $\frac{a + b}{13} = \frac{b + c}{11} = \frac{c + a}{12}$ .
5 $\sin A : \sin B : \sin C$
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6 $\cos A : \cos B : \cos C$
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Question 5
Quadratic Equations. Asked once: NDA 2 2026
28 $\frac{1}{2x + p} + \frac{1}{2x + q} = \frac{1}{r}$
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Question 1