Request a call back

Join NOW to get access to exclusive study material for best results

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, 03:33: PM
JEE main - Maths
.
Asked by swayamagarwal2114 | 01 Aug, 2022, 01:47: AM
ANSWERED BY EXPERT
JEE main - Maths
Asked by chinna99tv | 14 Jul, 2022, 07:08: AM
ANSWERED BY EXPERT
JEE main - Maths
Asked by farhanaedavath | 22 Jun, 2022, 07:43: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by rohan1234rathor | 07 Jun, 2022, 08:20: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by khanmohammad20510 | 18 Jan, 2022, 10:58: AM
ANSWERED BY EXPERT
JEE main - Maths
Asked by yashodakasarla9876 | 20 Sep, 2021, 11:12: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by Surjitsp6u | 23 Aug, 2019, 03:10: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by Surjitsp6u | 22 Aug, 2019, 09:26: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by Surjitsp6u | 14 Aug, 2019, 09:20: PM
ANSWERED BY EXPERT
JEE main - Maths
Asked by sanjaysingh.srct | 12 Aug, 2019, 09:48: AM
ANSWERED BY EXPERT

Start your hassle free Education Franchisee and grow your business!

Know more
×