Extreme Quant Problem of the Day for May 28th, 2021

[Aditya_Tiwari]

So regarding the question I answered it as D

Here’s my reasoning:
S is sum of all fractions and t is less than 50.

So I took,
t=1, S1 = 1 - 1/2 = 1/2
t=2, S2 = 1 - 1/2 + 1 - 1/3 = 2 -(1/2 + 1/3) = 7/6
at t=1 or 2 S < 42

Make a pattern
t=49, S3 = 49 - ( 1/2 + 1/3 + 1/4 + 1/5 … + 1/50) > 42
Used similar logic as Greg did and thought it would be bigger than 42.

So why did Greg consider only 1 case ie for 49?
Shouldn’t multiple cases for t be used?

[Leaderboard]

Given that this is the sum of all terms, the answer cannot be D. In your case, if you’re getting > 42, the answer is conclusively A as it means that the sum is greater than 42, which is what we are looking for.

[Aditya_Tiwari]

Ok understood

Made a mistake in understanding the question, I was also thinking of individual cases.