Let S=\{1,2,3,4,5,6,7,8,9,10\} . Define f: S \to S as f(n)=\{\table 2 n , \text{, if } n=\text{1,},\text{2,},\text{3,},\text{4,},\text{5} ; 2 n-11 , \text{, if } n=\text{6,} ,\text{7,},\text{8,},\text{9,},\text{10,} Let {\g}: {\S} \to {\S} be a function such that {\fog}(n)=\{\table n+1 , \text{ , if n is odd } ; n-1 , \text{, if n is even } Then g(10) g(1)+g(2)+g(3)+g(4)+g(5)) is equal to [27-Jun-2022-Shift-2]

JEE Main 27 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let S={1,2,3,4,5,6,7,8,9,10} . Define f:S→S as
f(n)={

2n	, if ‌n=1,	2,	3,	4,	5
2n−11	, if ‌n=6,	7,	8,	9,	10,

Let g:S→S be a function such that fog(n)={

n+1	‌ , if n is odd ‌
n−1	, if n is even

Then g(10)g(1)+g(2)+g(3)+g(4)+g(5)) is equal to

[27-Jun-2022-Shift-2]

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n+1	‌	‌ if ‌n‌ is odd ‌
n−1	‌	‌ if ‌n‌ is even ‌