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please explain fully …...please …...hey image attached please tell the method which is used in solution …..please sir .maam …..please anyone …...

please explain fully …...please …...hey image attached please tell the method which is used in solution …..please sir .maam …..please anyone …...

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Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
8 years ago
Ans:

Hello student,
Please find the answer to your question below
[] is greatest integer function.
L = [\frac{3}{4}]+[\frac{3}{4}+\frac{1}{100}]+[\frac{3}{4}+\frac{2}{100}]+............+[\frac{3}{4}+\frac{99}{100}]
[t] = 0, 0 <=t < 1
[t] = 1, 1 <= t < 2
Now looking at the problem in hand
[\frac{3}{4}+\frac{x}{100}] = 0, 0 <= x < 25
[\frac{3}{4}+\frac{x}{100}] = 0, 25 <= x < 99
There are total 100 term in L out of which 25 terms are zero. Rest all the terms are equal to 1. So the sum is 75.

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