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Which of the following is closest to (1)/(1.001)? https://gmatclub.com/forum/whichofthefollowingisclosestto239941.html 
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Author:  Cez005 [ 10 May 2017, 11:47 ] 
Post subject:  Which of the following is closest to (1)/(1.001)? 
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 backsolving. Thanks! 
Author:  abhijitatprepitt [ 10 May 2017, 12:09 ] 
Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
Cez005 wrote: 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 backsolving. Thanks! Back solving seems the best way. Since you can eliminate D and E from the get go start with C. Backsolving should be easy because multiplications are with 1. Another approach could be a little bit of factoring: 1/1.001 = 1000/1001 = (10011)/1001 = 1  1/1001 ~ 1  0.001 ~ 0.999. Since there is approximation inherent in the last two steps of this approach, I would be cautious. 
Author:  egghead2017 [ 11 May 2017, 03:30 ] 
Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
We straight away ignore the options D and E as they are greater than 1, because in the above fraction the denominator is greater the numerator. Of the remaining, the answer should be C 
Author:  shashankism [ 11 May 2017, 03:48 ] 
Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
egghead2017 wrote: We straight away ignore the options D and E as they are greater than 1, because in the above fraction the denominator is greater the numerator. Of the remaining, the answer should be C Since the question is asking that which is closest to 1/1.001. We can't just eliminate D & E. Though we can eliminate E in comparison to D. But there might be a possibility that 1/1.001 may be closest to 1 also.. So we will have to check it by solving or other methods. 
Author:  JeffTargetTestPrep [ 15 May 2017, 16:26 ] 
Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
Cez005 wrote: 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 We can convert 1.001 to a fraction and we have: 1/[(1001/1000)] = 1000/1001 It is obvious that this number is just a little smaller than 1 (which makes it just a little greater than 0.999), so the answer is either D or C. We must decide which. We will compare the difference between 1 and 1000/1001 to the difference between 1000/1001 and 0.999 = 999/1000. 1  1000/1001 = 1000/1000  1000/1001 = 1001000/1001000  1000000/1001000 = 1000/1001000 = 1/1001 1000/1001  999/1000 = 1000000/1001000  999999/1001000 = 1/1001000 Since the difference between 1000/1001 and 999/1000 is much smaller than the difference between 1 and 1000/1001, 1000/1001 is closer to 999/1000 = 0.999 than any other choice. Answer: C 
Author:  4d [ 23 Jul 2019, 02:33 ] 
Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
1000/1001 > 999/1000 Hence C 
Author:  KarishmaB [ 23 Jul 2019, 03:55 ] 
Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
Cez005 wrote: 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 backsolving. 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.veritasprep.com/blog/2011/0 ... roundone/ 
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Post subject:  Re: Which of the following is closest to (1)/(1.001)? 
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