Day 196: NDA Maths

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

Question 1 (case study, 2 parts)
Functions. Asked once: NDA 2 2023 (same type asked 3 times)
Let $f(x)=x^2-1$ and $g\circ f(x)=x-\sqrt{x}+1$ .
41 $g(x)$
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42 $g(15)$
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Question 2
Permutation & Combination. Asked once: NDA 1 2021 (same type asked 3 times)
44 $In how many ways can a team of 5 players be selected from 8 players so as not to include a particular player?$
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Question 3
Probability. Asked once: NDA 2 2022 (same type asked 3 times)
105 $x + \frac{1}{x} > 2$
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Question 4 (case study, 2 parts)
Sets & Relations. Asked once: NDA 2 2018 (same type asked 3 times)
Consider the information given below and answer the two (02) items that follow: A survey was conducted among 300 students. It was found that 125 students like to play cricket, 145 students like to play football and 90 students like to play tennis. 32 students like to play exactly two games out of the three games.
8 $How many students like to play all the three games?$
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9 $How many students like to play exactly only one game?$
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Question 5
Trigonometric Identities. Asked once: NDA 1 2019 (same type asked 3 times)
32 $\tan 54°$
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Question 1 (case study, 2 parts)