Day 288: NDA Maths

5 questions (6 parts). Try each one first, then open its answer.

Question 1
Probability. Asked once: NDA 2 2025
111 $A fair coin is tossed 4 times. What is the probability that two heads do not occur consecutively?$
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Question 2 (case study, 2 parts)
Properties of Triangle. Asked once: NDA 1 2023
Consider the following for the next two (02) items that follow: In a triangle $PQR$ , $P$ is the largest angle and $\cos P=\frac{1}{3}$ . Further the in-circle of the triangle touches the sides $PQ$ , $QR$ and $RP$ at $N$ , $L$ and $M$ respectively such that the lengths $PN$ , $QL$ and $RM$ are $n$ , $n+2$ , $n+4$ respectively where $n$ is an integer.
45 $n$
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46 $What is the length of the smallest side?$
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Question 3
Quadratic Equations. Asked once: NDA 2 2024
16 $n$
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Question 4
Sequence & Series. Asked once: NDA 2 2023
2 $1! + 3! + 5! + 7! + \cdots + 199!$
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Question 5
Sets & Relations. Asked once: NDA 2 2017
9 $|a|$
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Question 1