JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 June 2022, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

Let

S=\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}

. Define

f: S\to S

f(n)=\begin{cases}2n, & \text{if } n=1,2,3,4,5\\ 2n-11, & \text{if } n=6,7,8,9,10\end{cases}

Let

g: S\to S

be a function such that

fog(n)=\begin{cases}n+1, & \text{if } n \text{ is odd}\\ n-1, & \text{if } n \text{ is even}\end{cases}

, Then

g(10)\,(g(1)+g(2)+g(3)+g(4)+g(5))

is equal to ___________.

Official answer

190

NTA final key.