Prepare GMAT' math does not require the knowledge of (1+1/2+1/3+1/4...+1/50) So how to handle this one? I will do like this first we can deduce this one easily 50-2(1/2+1/3+1/4+1/5+1/6....+1/51) now remeber it's impossible for us to work out a accurate answer, just follow these steps 1/2 = 0.5 1/3=0.33 1/4=0.25 1/5=0.125 1/6=0.16 1/7=0.14 1/8=0.125 ... 1/10=0.1 all of the first ten numbers sum up about less than 2 let's go on! 1/10+1/12+.....+1/19<10*0.1=1 1/20+1/22+.....+1/29<10*0.05=0.5 1/30+...+1/39<10*0.033=0.3 1/40+...+1/49<0.25 so,let's sum up .... en about 2 so we work out about 4 the final answer is 50-2*4 = 42 . So we can choose the answer near 42, I believe the five choices will like A 10 B 25 C 43 D 48 E 50 actually 1/2+1/3+...+1/51=ln51+0.57721-1=3.50903 the accurate answer is 50-2*3.5=43 But on one can calculate like that, all we can do just work out a approximate answer. The ability of estimation is very important for this examination when we encounter a question like this. |