JEE Class main Answered
.
Asked by swayamagarwal2114 | 01 Aug, 2022, 01:47: AM
Expert Answer
When we change the value of x, the given expression [2x] + [4x]+ [6x] + [8x] changes only for rational values like p/q where q is divisible by the numbers 2, 4, 6, 8
So, we need to look for the numbers of the form p/lcm(2, 4, 6, 8) = p/24
For 1/24, 2/24, we get 0 such cases.
For 3/24, we get 1 case
FOr 4/24, 5/24, we get 2 cases
Similalrly, for the rest
Finally we get 12 out of first 20 integers.
So, total = 12 x 50 = 600
Thus, k is divisble by 100
Answered by Renu Varma | 10 Aug, 2022, 15:33: PM
JEE main - Maths
Asked by kareenakumariktq2008 | 28 May, 2024, 12:47: PM
ANSWERED BY EXPERTJEE main - Maths
Asked by aniyoggavhane38 | 03 May, 2024, 21:41: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by msriramulu508 | 15 Mar, 2024, 08:50: AM
ANSWERED BY EXPERTJEE main - Maths
Asked by sushmaakhila55 | 07 Mar, 2024, 06:00: AM
ANSWERED BY EXPERTJEE main - Maths
Asked by budiga1949 | 07 Feb, 2024, 19:34: PM
ANSWERED BY EXPERT