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Is rst = 1 ? (1) rs = 1 (2) st = 1
Last edited by Bunuel on 07 Dec 2012, 09:01, edited 1 time in total.
Renamed the topic and edited the question.
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Re: GMAT Paper test - Test Code 14 [#permalink]
10 Feb 2010, 13:56
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loki wrote: piyatiwari wrote: Answer: "E" : Both statements not sufficient
Now if both statements are taken together, r=1/3 s=3 and t=1/3 => rst not equal to 1.
hence both the statements are not sufficient. But from your response above combining the two statements tells us conclusively that rst not eqaul to 1. Therefore combining the two statements is sufficient to answer the question as a 'NO'. So shouldn't the answer be 'C' Is rst = 1 ?(1) rs = 1 (2) st = 1 Try r=s=t=1, both statements hold true and rst=1. Try r=s=t=-1, both statements hold true and rst=-1. Two different answers. Not sufficient. Answer: E.
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Re: OG DS 95, explain how my logic is wrong [#permalink]
14 Feb 2010, 11:34
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Currency wrote: Ok, without a doubt my number property skills are my achillies heel when is comes to GMAT quant. I was reviewing my error log today. Tell me why my logic is wrong. 95. Is rst=1 (1) rs=1 (2) st=1 I attacked it by rearranging the original equations, dividing both sides by t. so, rs=1/tthen sub in rs=1 so, 1=1/t then cross multiply t=1 Combined with what we already know (rs=1) we have 1*1=1 Therefore, sufficient. Same logic can be applied to statment 2. Therefore my answer was D. OA is actually E and I understand how they got it, but I also fail to see why my strategy was wrong. I feel like I'm probably overlooking some basic rule that governs all equations here but if someone could help me out that'd be great. Thanks The highlighted part is the mistake. The question is asking u to prove that... and you are considering the same as True. This isnt the correct approach. The Answer E is correct... Is rst = 1? S1: rs = 1, t can be 2 ... then rst is not equal to 1... t can be 1... then rst is equal to 1... Hence IN SUFF S2: st =1 , r can be 2 ... then rst is not equal to 1.. r can be 1 .. then rst is equal to 1... Hence IN SUFF... combining I and 2... we can have .. r = 2, s = 1/2, t = 2 Then rst = 2 but we can also have r = 1, s = 1, t =1 Then rst = 1.. Hence E... Hope this helps!
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Re: GMAT Paper test - Test Code 14 [#permalink]
10 Feb 2010, 12:56
Answer: "E" : Both statements not sufficient
Reason: (plugging in method)
Statement 1: Say r = 1/3 and s = 3
satisfies statement 1 i.e. rs = 1 but cant comment about value of rst as t is still unknown.
Statement 2: Say t = 1/3 and s = 3
satisfies statement 1 i.e. st = 1 but cant comment about value of rst as t is still unknown.
Now if both statements are taken together, r=1/3 s=3 and t=1/3 => rst not equal to 1.
hence both the statements are not sufficient.
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Re: GMAT Paper test - Test Code 14 [#permalink]
10 Feb 2010, 13:21
piyatiwari wrote: Answer: "E" : Both statements not sufficient
Now if both statements are taken together, r=1/3 s=3 and t=1/3 => rst not equal to 1.
hence both the statements are not sufficient. But from your response above combining the two statements tells us conclusively that rst not eqaul to 1. Therefore combining the two statements is sufficient to answer the question as a 'NO'. So shouldn't the answer be 'C'
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Re: GMAT Paper test - Test Code 14 [#permalink]
10 Feb 2010, 13:51
loki wrote: piyatiwari wrote: Answer: "E" : Both statements not sufficient
Now if both statements are taken together, r=1/3 s=3 and t=1/3 => rst not equal to 1.
hence both the statements are not sufficient. But from your response above combining the two statements tells us conclusively that rst not eqaul to 1. Therefore combining the two statements is sufficient to answer the question as a 'NO'. So shouldn't the answer be 'C' Oh yes. My usual mistake  . Thanks so much Loki. This goes directly to my error log. So the answer is "C"
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Re: GMAT Paper test - Test Code 14 [#permalink]
10 Feb 2010, 14:04
Bunuel wrote: loki wrote: piyatiwari wrote: Answer: "E" : Both statements not sufficient
Now if both statements are taken together, r=1/3 s=3 and t=1/3 => rst not equal to 1.
hence both the statements are not sufficient. But from your response above combining the two statements tells us conclusively that rst not eqaul to 1. Therefore combining the two statements is sufficient to answer the question as a 'NO'. So shouldn't the answer be 'C' Try r=s=t=1, both statement hold true and rst=1. Try r=s=t=-1, both statement hold true and rst=-1. Two different answers. Not sufficient. Answer: E. OA is E. I get it now! Thank you!
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OG DS 95, explain how my logic is wrong [#permalink]
14 Feb 2010, 11:19
Ok, without a doubt my number property skills are my achillies heel when is comes to GMAT quant. I was reviewing my error log today. Tell me why my logic is wrong. 95. Is rst=1 (1) rs=1 (2) st=1 I attacked it by rearranging the original equations, dividing both sides by t. so, rs=1/t then sub in rs=1 so, 1=1/t then cross multiply t=1 Combined with what we already know (rs=1) we have 1*1=1 Therefore, sufficient. Same logic can be applied to statment 2. Therefore my answer was D. OA is actually E and I understand how they got it, but I also fail to see why my strategy was wrong. I feel like I'm probably overlooking some basic rule that governs all equations here but if someone could help me out that'd be great. Thanks
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Re: OG DS 95, explain how my logic is wrong [#permalink]
14 Feb 2010, 11:36
Currency wrote: Ok, without a doubt my number property skills are my achillies heel when is comes to GMAT quant. I was reviewing my error log today. Tell me why my logic is wrong. 95. Is rst=1 (1) rs=1 (2) st=1 I attacked it by rearranging the original equations, dividing both sides by t. so, rs=1/t then sub in rs=1 so, 1=1/t then cross multiply t=1 Combined with what we already know (rs=1) we have 1*1=1 Therefore, sufficient. Same logic can be applied to statment 2. Therefore my answer was D. OA is actually E and I understand how they got it, but I also fail to see why my strategy was wrong. I feel like I'm probably overlooking some basic rule that governs all equations here but if someone could help me out that'd be great. Thanks Okay, you can really deal with this much simpler. But, let's review what you've done. I attacked it by rearranging the original equations, dividing both sides by t. so, rs=1/t your question then changes to -- Is rs=1/t? 1. Does this give the vale of t? No. Even if you use (1), you get -- 1=1/t -> t=1. Does this answer your question. No. A/D out 2. Similarly, does the value of st=1, help us in answering the question? No. B out Hope this helps.
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Re: OG DS 95, explain how my logic is wrong [#permalink]
14 Feb 2010, 11:41
Quote: "The question is asking u to prove that... and you are considering the same as True. This isnt the correct approach." This is what I was missing. Normally I'd instinctively follow that, but I think cause it was in my error log I over-thought it and got fancy - effectively confusing myself. Ha! Thanks for the quick repsonses guys, much appreciated!
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Re: OG DS 95, explain how my logic is wrong [#permalink]
15 Feb 2010, 06:32
i) rs=1 r=1/3 s=3 and t=7 so ans is no r=1/3 s=3 and t=1 so ans is yes not suff.
ii) st=1 s=1/3 and t=3 and r=7 so ans is no r=1/3 s=3 and t=1 so ans is yes
not sufficient
combining both 1 and 2
s=1/3 r=3 and t=3 still it satisfies both eq but rst is not 1
if s=1 r=1 and t=1 it satisifies both eq. and rst is 1
so ans is E
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Re: Is rst=1? Statement 1: rs=1 Statement 2: st=1 [#permalink]
29 Nov 2011, 12:31
i) rs=1 As we don't know anything about value of t so we cant answer if rst = 1. Insufficient.
ii) st=1 As we don't know anything about value of r so we cant answer if rst = 1. Insufficient.
Combining both 1 and 2
(rs)(st) = 1 (rst)s = 1 rst = 1/s
As we don't know the value of s. rst can be anything (1 or something else). we cannot answer "Is rst = 1?"
Insufficient Ans: E
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Its clear that 1 and 2 do not lead to a solution. then, Cant this be solved by observing that we have 2 equations and 3 unknown variables. hence not sufficient and hence E?
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statement 1: don't know anything about t. not sufficient statement 2: don't know anything about r. not sufficient
put them together: rst could equal (1)(1)(1) in which case would be 1. or rst could equal (1/2)(2)(1/2) in which case rst = 1/2. Not sufficient
Answer: E
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