Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss!
Author 
Message 
TAGS:

Hide Tags

Senior SC Moderator
Joined: 14 Nov 2016
Posts: 1348
Location: Malaysia

If you are buying a product by rounding up to a $1 digit, is the sum o
[#permalink]
Show Tags
24 Feb 2017, 01:08
Question Stats:
14% (02:00) correct 86% (02:08) wrong based on 173 sessions
HideShow timer Statistics
If you are buying a product by rounding up to a $1 digit, is the sum of the differences between buying a product as its actual price and buying a product by rounding up to a $1 digit less than $12? 1) The sum of the differences in the total of 80% of the products bought is less than $10. 2) A total of 20 products were bought
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
"Be challenged at EVERY MOMENT."“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”"Each stage of the journey is crucial to attaining new heights of knowledge."Rules for posting in verbal forum  Please DO NOT post short answer in your post! Advanced Search : https://gmatclub.com/forum/advancedsearch/



Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4472

Re: If you are buying a product by rounding up to a $1 digit, is the sum o
[#permalink]
Show Tags
24 Feb 2017, 16:24
AustinKL wrote: If you are buying a product by rounding up to a $1 digit, is the sum of the differences between buying a product as its actual price and buying a product by rounding up to a $1 digit less than $12?
1) The sum of the differences in the total of 80% of the products bought is less than $10.
2) A total of 20 products were bought Dear AustinKL, I'm happy to respond. My friend, the wording on this problem is truly atrocious. If the author was trying to write a GMAT Quant problem, then I would give the author a grade of an F for his efforts. It may well be that the author is a nonnative speaker who doesn't understand the implications of different phrasing and how they impact the clarity and precision of the problem. The wording is exceptionally unclear. Also, absolutely no official GMAT Quant question is addressed to " you." There are many ways this question gives evidence of absolutely no careful knowledge of the GMAT. Here is a complete rewriting of the prompt, in an attempt to make clear what this flawed question is trying to ask Samantha bought N of the same product, each at the same price. She estimated the total price of the set of N products by rounding the price of the individual product up to the nearest dollar, and multiplying this rounded price by N: call this estimate E. The actual total price of the set N products is the real unrounded price of each product times N: call this actual total price T. Is E  T < $12?
Statement #1: If Samantha had bought only 80% of N products, the difference between the same estimate and true price would be less than $10. Statement #2: N = 20 Now, to solve this: Statement #1: Everything is proportional, so if Samantha bought 80% of N, the difference in that case would be 80% of the total difference, E  T .80(E  T) < 10 (4/5)(E  T) < 10 E  T < 10(5/4) E  T < 5(5/2) E  T < 25/2 E  T < 12.5 If something is less than 12.5, it could be less than 12, or it could be greater, that is, between 12 and 12.5. We cannot draw a conclusion for this statement. This statement is insufficient. Statement #2: N = 20 Well, if the price of an individual item is $0.95, so the different for an individual item is $.05, so for twenty, the difference would be (0.05)*20 = $1, which of course is less than $12. This produces a "yes" answer to the prompt. The prompt very specifically says that we are going to round UP, regardless of the actual price. Thus, the price could be, say $.20, and we would round up to $1, a different of $0.80. The difference for N = 20 would be 20*$0.80) = $16, which is more than $12. Two different choices produce two different answers to the prompt. This statement is not sufficient. I will not continue with the solution. Clearly, even my rewrite is not what the author of the question had it mind. I suspect that the problem is in the rounding. I think what the author was trying to say was that the individual item had such a price that would be rounded up rather than down. That is very different from what he actually said in the problem. There are a few more elegant ways to express this information, but clearly the language problems in the original question are many. This is a truly atrocious question. Does all this make sense? Mike
_________________
Mike McGarry Magoosh Test PrepEducation is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)



Intern
Joined: 09 Jan 2014
Posts: 13
Location: India
GMAT 1: 690 Q48 V37 GMAT 2: 730 Q50 V39
GPA: 4
WE: General Management (Manufacturing)

Re: If you are buying a product by rounding up to a $1 digit, is the sum o
[#permalink]
Show Tags
11 Mar 2018, 08:18
mikemcgarry wrote: AustinKL wrote: If you are buying a product by rounding up to a $1 digit, is the sum of the differences between buying a product as its actual price and buying a product by rounding up to a $1 digit less than $12?
1) The sum of the differences in the total of 80% of the products bought is less than $10.
2) A total of 20 products were bought Dear AustinKL, I'm happy to respond. My friend, the wording on this problem is truly atrocious. If the author was trying to write a GMAT Quant problem, then I would give the author a grade of an F for his efforts. It may well be that the author is a nonnative speaker who doesn't understand the implications of different phrasing and how they impact the clarity and precision of the problem. The wording is exceptionally unclear. Also, absolutely no official GMAT Quant question is addressed to " you." There are many ways this question gives evidence of absolutely no careful knowledge of the GMAT. Here is a complete rewriting of the prompt, in an attempt to make clear what this flawed question is trying to ask Samantha bought N of the same product, each at the same price. She estimated the total price of the set of N products by rounding the price of the individual product up to the nearest dollar, and multiplying this rounded price by N: call this estimate E. The actual total price of the set N products is the real unrounded price of each product times N: call this actual total price T. Is E  T < $12?
Statement #1: If Samantha had bought only 80% of N products, the difference between the same estimate and true price would be less than $10. Statement #2: N = 20 Now, to solve this: Statement #1: Everything is proportional, so if Samantha bought 80% of N, the difference in that case would be 80% of the total difference, E  T .80(E  T) < 10 (4/5)(E  T) < 10 E  T < 10(5/4) E  T < 5(5/2) E  T < 25/2 E  T < 12.5 If something is less than 12.5, it could be less than 12, or it could be greater, that is, between 12 and 12.5. We cannot draw a conclusion for this statement. This statement is insufficient. Statement #2: N = 20 Well, if the price of an individual item is $0.95, so the different for an individual item is $.05, so for twenty, the difference would be (0.05)*20 = $1, which of course is less than $12. This produces a "yes" answer to the prompt. The prompt very specifically says that we are going to round UP, regardless of the actual price. Thus, the price could be, say $.20, and we would round up to $1, a different of $0.80. The difference for N = 20 would be 20*$0.80) = $16, which is more than $12. Two different choices produce two different answers to the prompt. This statement is not sufficient. I will not continue with the solution. Clearly, even my rewrite is not what the author of the question had it mind. I suspect that the problem is in the rounding. I think what the author was trying to say was that the individual item had such a price that would be rounded up rather than down. That is very different from what he actually said in the problem. There are a few more elegant ways to express this information, but clearly the language problems in the original question are many. This is a truly atrocious question. Does all this make sense? Mike Hi Mike, I guess, to know whether ET is less than $12 or not we only require the number of products purchased. For 1 product maximum value of ET can be $0.50 (more than 0.50 it will round off to next dollar value). Therefore for 20 products maximum value of ET can be 20x0.50= 10, which is less than 12. Thus IMO statement B is sufficient.



Retired Moderator
Joined: 22 Aug 2013
Posts: 1428
Location: India

Re: If you are buying a product by rounding up to a $1 digit, is the sum o
[#permalink]
Show Tags
11 Mar 2018, 11:00
Pradeeps0013 wrote: mikemcgarry wrote: AustinKL wrote: If you are buying a product by rounding up to a $1 digit, is the sum of the differences between buying a product as its actual price and buying a product by rounding up to a $1 digit less than $12?
1) The sum of the differences in the total of 80% of the products bought is less than $10.
2) A total of 20 products were bought Dear AustinKL, I'm happy to respond. My friend, the wording on this problem is truly atrocious. If the author was trying to write a GMAT Quant problem, then I would give the author a grade of an F for his efforts. It may well be that the author is a nonnative speaker who doesn't understand the implications of different phrasing and how they impact the clarity and precision of the problem. The wording is exceptionally unclear. Also, absolutely no official GMAT Quant question is addressed to " you." There are many ways this question gives evidence of absolutely no careful knowledge of the GMAT. Here is a complete rewriting of the prompt, in an attempt to make clear what this flawed question is trying to ask Samantha bought N of the same product, each at the same price. She estimated the total price of the set of N products by rounding the price of the individual product up to the nearest dollar, and multiplying this rounded price by N: call this estimate E. The actual total price of the set N products is the real unrounded price of each product times N: call this actual total price T. Is E  T < $12?
Statement #1: If Samantha had bought only 80% of N products, the difference between the same estimate and true price would be less than $10. Statement #2: N = 20 Now, to solve this: Statement #1: Everything is proportional, so if Samantha bought 80% of N, the difference in that case would be 80% of the total difference, E  T .80(E  T) < 10 (4/5)(E  T) < 10 E  T < 10(5/4) E  T < 5(5/2) E  T < 25/2 E  T < 12.5 If something is less than 12.5, it could be less than 12, or it could be greater, that is, between 12 and 12.5. We cannot draw a conclusion for this statement. This statement is insufficient. Statement #2: N = 20 Well, if the price of an individual item is $0.95, so the different for an individual item is $.05, so for twenty, the difference would be (0.05)*20 = $1, which of course is less than $12. This produces a "yes" answer to the prompt. The prompt very specifically says that we are going to round UP, regardless of the actual price. Thus, the price could be, say $.20, and we would round up to $1, a different of $0.80. The difference for N = 20 would be 20*$0.80) = $16, which is more than $12. Two different choices produce two different answers to the prompt. This statement is not sufficient. I will not continue with the solution. Clearly, even my rewrite is not what the author of the question had it mind. I suspect that the problem is in the rounding. I think what the author was trying to say was that the individual item had such a price that would be rounded up rather than down. That is very different from what he actually said in the problem. There are a few more elegant ways to express this information, but clearly the language problems in the original question are many. This is a truly atrocious question. Does all this make sense? Mike Hi Mike, I guess, to know whether ET is less than $12 or not we only require the number of products purchased. For 1 product maximum value of ET can be $0.50 (more than 0.50 it will round off to next dollar value). Therefore for 20 products maximum value of ET can be 20x0.50= 10, which is less than 12. Thus IMO statement B is sufficient. Hello I think what you are saying makes sense IF the question had stated that "you are buying a product by rounding off to a $1 digit..." in that case we would have applied the rounding off method, and anything which ends in .5 or above would be rounded up to the nearest dollar, while anything that ends in lower than .5 would be rounded down to the nearest dollar But the original question says, "you are buying a product by rounding up to a $1 digit".. This means regardless of the value, we always have to round up to the nearest dollar. So as per the question, 8.5 will be rounded up to 9, 8.1 will also be rounded up to 9. I guess thats why what Mike said makes sense




Re: If you are buying a product by rounding up to a $1 digit, is the sum o
[#permalink]
11 Mar 2018, 11:00






