JEE Main 2022 — Sets And Relations Question with Solution
From: JEE Main 2022 (Online) 24th June Evening Shift
Question
The sum of all the elements of the set is __________.
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Show full solutionCorrect answer: 1633
Step-by-step explanation
The numbers upto 24 which gives g.c.d. with 24 equals to 1 are 1, 5, 7, 11, 13, 17, 19 and 23.
Sum of these numbers = 96
There are four such blocks and a number 97 is there upto 100.
Complete sum
= 96 + (24 8 + 96) + (48 8 + 96) + (72 8 + 96) + 97
= 1633
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