Question

If 'x' satisfies equation [x+0.19] + [x+0.20] + -----+ [x +0.91] =542 then [100x] is (where [.] repersents greatest integer function)

Answer 1

Total 73 terms. So 542 $=73\times 7+31$
So some terms have [.] value as 7 & some have 8.
So least 31 terms should have value 8.
So $\underset{7\times 42}{\underset{}{\left[\right]+----+}}\underset{8\times 91}{\underset{}{[x+61]+----+[0+91]}}$
$x+0.61=8$
$x=7.39$
So x will be 7.39.....
So 100x =739.....
So [100x] =739