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Let `E = [(1)/(3) + (1)/(50)]+[(1)/(3)+(2)/(50)]+[(1)/(3)+(3)/(50)]+……..` upto `50` terms where `[.]` denotes the greatest integer terms thenA. `E` is divisible by exactly `2` primesB. `E` is primeC. `E ge 30`D. `E le 35` |
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Answer» Correct Answer - B::D For `1 le x le 33` `(1)/(3) lt (1)/(3) + (x)/(50) lt 1 rArr [(1)/(3) + (x)/(50)] = 0` for `34 le x le 50` `1 lt 1/3 + x/50 lt 4/3` `1 lt [(1)/(3) + (x)/(50)] = 1` `:. E = 17` |
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