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↧↧↧ Detailed Video Solution to the Problem ↧↧↧



f(\(\sqrt{1}\)) = f(1) = Greatest integer less than or equal to 1 = 1
f(\(\sqrt{2}\)) = f(1.414) = Greatest integer less than or equal to 1.414 = 1
f(\(\sqrt{3}\)) = f(1.731) = 1
f(\(\sqrt{4}\)) = f(2) = 2
.
All values will be equal to 2 till we reach f(\(\sqrt{9}\))
f(\(\sqrt{9}\)) = f(3) = 3
.
All values will be 3 till we reach f(\(\sqrt{Next Square}\)) = f(\(\sqrt{16}\))
f(\(\sqrt{16}\)) = f(4) = 4
.
All values will be 4 till we reach f(\(\sqrt{25}\))
f(\(\sqrt{25}\)) = f(5) = 5
.
All values will be 5 till we reach f(\(\sqrt{36}\))
f(\(\sqrt{36}\)) = f(6) = 6
.
All values will be 6 till we reach f(\(\sqrt{49}\))
f(\(\sqrt{49}\)) = f(7) = 7
.
All values will be 7 till we reach f(\(\sqrt{64}\))
f(\(\sqrt{64}\)) = f(8) = 8
.
All values will be 8 till we reach f(\(\sqrt{81}\))
f(\(\sqrt{81}\)) = f(9) = 9
.
All values will be 9 till we reach f(\(\sqrt{100}\))
f(\(\sqrt{100}\)) = f(10) = 10
.

Now, look at the answer choices. Power of 7 is unique in all the options.
Let's find the power of 7

Value of the function is 7 from 49 to 63 (Inclusive)
=> Number of values = 63 - 49 + 1 = 15 values
=> We will have \(7^{15}\) in the answer

So, Answer will be C
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

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