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For $x \in R$ , let $[x]$ denote the greatest integer $\leq x .$ Largest natural number $n$ for which
$E = [\frac{π}{2}] + [\frac{1}{100} + \frac{π}{2}] + [\frac{2}{100} + \frac{π}{2}] \dots + [\frac{n}{100} + \frac{π}{2}] < 43,$ is

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Correct option is A

Since 3.14<π<3.142,1.57<π/2<1.571Thus, π2+n100=1 for n=0, 1, 2,......, 42Thus, largest natural number n for which E<43 is 41.

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For x∈R, let x denote the greatest integer ≤x. Largest natural number n for which E=π2+1100+π2+2100+π2…+n100+π2<43, is

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For $x \in R$ , let $[x]$ denote the greatest integer $\leq x .$ Largest natural number $n$ for which
$E = [\frac{π}{2}] + [\frac{1}{100} + \frac{π}{2}] + [\frac{2}{100} + \frac{π}{2}] \dots + [\frac{n}{100} + \frac{π}{2}] < 43,$ is