Cez005
Which of the following is closest to (1)/(1.001)?
A. 0.997
B. 0.998
C. 0.999
D. 1.000
E. 1.001
This question has been posted previously; however, the thread is short and discontinued. I'm looking for a clear approach for solving this type of problem besides back-solving. Thanks!
\(\frac{1}{1.001} = \frac{1000}{1001}\)
which is slightly less than 1.
\(.999 = \frac{999}{1000}\)
which is slightly less than 1 too. When we add 1 to both the numerator and denominator of 999/1000, we get 1000/1001. This number will be closer to 1 than 999/1000.
So on the number line, we have .997, .998, .999, 1000/1001, 1.000, 1.001 in that order. Closest to 1000/1001 is either .999 or 1.
From 999/1000, we go to 1000/1001 by adding 1 to both numerator and denominator.
But from 1000/1001 to 1, we go by adding 1 to numerator alone. So 1 will be much greater than 1000/1001 (relatively speaking).
Hence closest to 1000/1001 is .999.
Answer (C)
Check this post for this concept:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... round-one/