Question of the Day-Quantitative Ability

QUESTION:-

In a certain laboratory, the amount of time spent in doing unyielding research is equal to the square root of the number of experiments performed. The condition for optimum number of experiments, N, is that the time spent in doing unyielding research at the optimum number of experiments should differ from that at (N – 1) number of experiments by less than 0.01. What is the smallest number of experiments for which the optimum condition is satisfied?

OPTIONS

1) 2500

2) 1001

3) 2501
4) None of these

SOLUTION

Since N has to be an integer, 2501 is the smallest number of experiments at which the optimum condition is satisfied.

∴ N = 2501
Hence, option 3.

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