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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## gmat prep question ##### This topic has 1 expert reply and 3 member replies if N denotes a number to the left of 0 on the number line such that the square of N is less than that the square of N is less than 1/100, then the recipricol of N must be less than -10 between -1 and -1/10 between -1/10 and 0 between 0 and 1/10 greater than 10 explain to me how you interpret this, please Master | Next Rank: 500 Posts Joined 25 Apr 2007 Posted: 147 messages Followed by: 1 members Upvotes: 19 Test Date: Jan-2-2008 Target GMAT Score: 750 Hi, Here is how I would solve it: 1) The number is left of 0 on the number line, therefore it's negative. 2) The square is less than 1/100, this implies that the number is a negative fraction. From 1 & 2 we have that N is a negative fraction. Therefore, the reciprocal of N is also negative. This eliminates choices D & E. You can eliminate C, if you take reciprocal of N = -1/9 then N = -9 and N^2 > 1/100 You can also eliminate B, -1/2 < -1/10 and -1/2 > -1. The reciprocal is -2 and the square is 4. Therefore the answer is A. Hope this helps. Master | Next Rank: 500 Posts Joined 07 Feb 2007 Posted: 144 messages ok , but if its less than -10 would it be the same as the others? I mean squaring any number less than -10 would still make it greater than 1/100 am I missing something here? or does it mean less than the reciprical of -10 Legendary Member Joined 27 Mar 2007 Posted: 559 messages Followed by: 2 members Upvotes: 5 Since the number is to the left of the number line, it is negative and the square of N is less than 1/100 n^2 < 100 Therefore sqr rt of n^2 < sqr rt of 1/100 n<-1/10 (it can't be 1/10...we already know it's negative); so n<-1/10 So reciprocal of n i.e. 1/n < -10 Hence clear choice A ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 yvonne12 wrote: if N denotes a number to the left of 0 on the number line such that the square of N is less than that the square of N is less than 1/100, then the recipricol of N must be less than -10 between -1 and -1/10 between -1/10 and 0 between 0 and 1/10 greater than 10 We are given that N denotes a number to the left of 0 on the number line such that the square of N is less than 1/100. This means N is negative, and it is between 0 and -1/10 since (-1/10)^2 = 1/100. Thus, N could be equal to values such as -1/11, -1/12, -1/13, etc. Notice that when we square these values, they are all less than 1/100. Let’s take the reciprocal of any of these values listed. The reciprocal of -1/11 is -11. Similarly, the reciprocal of -1/12 is -12, and the reciprocal of -1/13 is -13. Since these reciprocals are all less than -10, answer choice A is correct. Alternate Solution: Let’s find a value for N such that N is negative and the square of N is less than 1/100. If we take N = -1/20, we see that N^2 = 1/400, which is less than 1/100. Now, the reciprocal of N is 1/N = -20, which is less than -10. Answer: A • Award-winning private GMAT tutoring Register now and save up to$200

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