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Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.

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Bunuel wrote:
Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. Kudos for a correct solution. Target question: Did the sum of the prices of three shirts exceed$60?

Statement 1: The price of the most expensive of the shirts exceeded $30 This statement doesn't FEEL sufficient, so I'll TEST some values. Case a: the shirt prices are$31, $32 and$33, in which case the sum of the 3 prices EXCEEDS $60 Case b: the shirt prices are$11, $12 and$33, in which case the sum of the 3 prices DOES NOT exceed $60 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/dat ... lug-values Statement 2: The price of the least expensive of the shirts exceeded$20
If the least expensive shirt costs 20+ dollars, then the other 2 shirts also cost 20+ dollars each
(20+ dollars) + (20+ dollars) + (20+ dollars) = 60+ dollars

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1
1
Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. B 1) If the most expensive shirt exceeds$30, then lets say the most expensive shirt is $31. Then the two lesser shirts can cost$30 a piece. This will bring the total over $60. But the two lesser shirts can also be$5 a piece, bringing the total under $60. Not Sufficient. 2) If the least expensive shirt exceeds$20, then lets say the least expensive shirt is $21. Then the two more expensive shirts can cost$22. This will bring the total over $60. The price of the two more expensive shirts can only go up making the sum of the three over$60. Sufficient.
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Re: Did the sum of the prices of three shirts exceed $60? [#permalink] ### Show Tags What if all shirts cost$20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above$20?
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1) Kaplanprep 450 Q27 V21
2) Manhattan 530 Q35 V28
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Re: Did the sum of the prices of three shirts exceed $60? [#permalink] ### Show Tags 1 zxcvbnmas wrote: What if all shirts cost$20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above$20?

Hi Zxcvbnmas,

The Question says :

Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. Using option (2) , we know the cost of least exp shirt exceeded 20 , which means they can be 20.01 too , Even if all the 3 costed the same , the total cost will be greater than 60 Kudos if it helped Manager  Joined: 06 Jun 2014 Posts: 85 Location: United States Concentration: Finance, General Management GMAT 1: 450 Q27 V21 GPA: 3.47 Re: Did the sum of the prices of three shirts exceed$60?  [#permalink]

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ashwini86 wrote:
zxcvbnmas wrote:
What if all shirts cost $20 each, then the answer can be C? or it has to be the price of the least expensive shirt cost$20 and other shirts above $20? Hi Zxcvbnmas, The Question says : Did the sum of the prices of three shirts exceed$60?

(1) The price of the most expensive of the shirts exceeded $30. (2) The price of the least expensive of the shirts exceeded$20.

Using option (2) , we know the cost of least exp shirt exceeded 20 , which means they can be 20.01 too , Even if all the 3 costed the same , the total cost will be greater than 60

Kudos if it helped

if all three shirts cost $20, so 20+20+20=$60
60 cannot be greater than 60!
Where am I going wrong?? _________________
1) Kaplanprep 450 Q27 V21
2) Manhattan 530 Q35 V28
3) GmatPrep 450 Q33, V19
4) Veritas 460 Q31, V23
5) Veritas 440 Q 30, V21
6) Veritas 500 Q34, V 25
7) Gmat 420 Q27, V23
8) Veritas 520 Q36, V26 2/2
9) Veritas 540 Q37, V28 4/19
10)Manhattan 560 Q40, V28 4/28
Intern  Joined: 26 May 2016
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Re: Did the sum of the prices of three shirts exceed $60? [#permalink] ### Show Tags zxcvbnmas wrote: ashwini86 wrote: zxcvbnmas wrote: What if all shirts cost$20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above$20?

Hi Zxcvbnmas,

The Question says :

Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. Using option (2) , we know the cost of least exp shirt exceeded 20 , which means they can be 20.01 too , Even if all the 3 costed the same , the total cost will be greater than 60 Kudos if it helped if all three shirts cost$20, so 20+20+20=$60 60 cannot be greater than 60! Where am I going wrong?? But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise Manager  Joined: 06 Jun 2014 Posts: 85 Location: United States Concentration: Finance, General Management GMAT 1: 450 Q27 V21 GPA: 3.47 Re: Did the sum of the prices of three shirts exceed$60?  [#permalink]

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ashwini86 wrote:

But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise

The question is asking whether the cost is greater than $60. stmt (1) is clearly insufficient stmt (2) the lowest value is$20
if all three shirts cost 20 each then the total value will be equal to 60
if not all three shirts equal to 20 then the total value will be greater than 60.
My question is can we assume that the least value and other two values are the same even though the statement 2 specifically stated the word "least"?
_________________
1) Kaplanprep 450 Q27 V21
2) Manhattan 530 Q35 V28
3) GmatPrep 450 Q33, V19
4) Veritas 460 Q31, V23
5) Veritas 440 Q 30, V21
6) Veritas 500 Q34, V 25
7) Gmat 420 Q27, V23
8) Veritas 520 Q36, V26 2/2
9) Veritas 540 Q37, V28 4/19
10)Manhattan 560 Q40, V28 4/28
Intern  Joined: 26 May 2016
Posts: 39
Location: India
Concentration: Strategy, Technology
Schools: IIMA (A)
GMAT 1: 650 Q49 V32 GPA: 3.65
WE: Information Technology (Computer Software)
Re: Did the sum of the prices of three shirts exceed $60? [#permalink] ### Show Tags 1 zxcvbnmas wrote: ashwini86 wrote: But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise The question is asking whether the cost is greater than$60.
stmt (1) is clearly insufficient
stmt (2) the lowest value is $20 if all three shirts cost 20 each then the total value will be equal to 60 if not all three shirts equal to 20 then the total value will be greater than 60. My question is can we assume that the least value and other two values are the same even though the statement 2 specifically stated the word "least"? thanks in advance! 2) The price of the least expensive of the shirts exceeded$20.

The question doesn't mention the cost to be 20 anywhere , how are you deducing the cost to be 20 from the 2nd statement ?
Manager  Joined: 06 Jun 2014
Posts: 85
Location: United States
Concentration: Finance, General Management
GMAT 1: 450 Q27 V21 GPA: 3.47
Re: Did the sum of the prices of three shirts exceed $60? [#permalink] ### Show Tags ashwini86 wrote: zxcvbnmas wrote: ashwini86 wrote: But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise The question is asking whether the cost is greater than$60.
stmt (1) is clearly insufficient
stmt (2) the lowest value is $20 if all three shirts cost 20 each then the total value will be equal to 60 if not all three shirts equal to 20 then the total value will be greater than 60. My question is can we assume that the least value and other two values are the same even though the statement 2 specifically stated the word "least"? thanks in advance! 2) The price of the least expensive of the shirts exceeded$20.

The question doesn't mention the cost to be 20 anywhere , how are you deducing the cost to be 20 from the 2nd statement ?

Oh my god, I was reading stmt2 wrong, I though it was stating the lowest value is equal to $20 Thanks dude!! _________________ 1) Kaplanprep 450 Q27 V21 2) Manhattan 530 Q35 V28 3) GmatPrep 450 Q33, V19 4) Veritas 460 Q31, V23 5) Veritas 440 Q 30, V21 6) Veritas 500 Q34, V 25 7) Gmat 420 Q27, V23 8) Veritas 520 Q36, V26 2/2 9) Veritas 540 Q37, V28 4/19 10)Manhattan 560 Q40, V28 4/28 Current Student Joined: 18 Oct 2014 Posts: 795 Location: United States GMAT 1: 660 Q49 V31 GPA: 3.98 Re: Did the sum of the prices of three shirts exceed$60?  [#permalink]

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2
Bunuel wrote:
Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. Kudos for a correct solution. (1) The price of the most expensive of the shirts exceeded$30.
what if other two shirts are only $1 each. Then total price will be 30+1+1= 32 Not sufficient. (2) The price of the least expensive of the shirts exceeded$20.

Least expensive shirt is >20
that means other two shirts will be >20

total > 20+20+20
>60

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Bunuel wrote:
Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. We must determine whether the price of 3 shirts exceeded$60.

Statement One Alone:

The price of the most expensive of the shirts exceeded $30. Without knowing the price of at least one of the other two shirts, we do not have enough information to answer the question. For example, the most expensive shirt could be$31 and the two less-expensive shirts could be $1 each, and thus the price of the 3 shirts would be less than$60. However, the most expensive shirt could be $50 and the two less-expensive shirts could be$10 each; then, the total price would exceed $60. Statement Two Alone: The price of the least expensive of the shirts exceeded$20.

We have enough information to determine that the price of the three shirts exceeded $60. We know that price of the least expensive shirt is greater than$20, and furthermore we know that the price of any one of the other two shirts has to be greater than the least expensive shirt. Thus, no matter what the prices of the three shirts are, the sum will always be greater than $60. Statement two is sufficient to answer the question. Answer: B _________________ # Jeffrey Miller Head of GMAT Instruction Jeff@TargetTestPrep.com See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Manager  G Joined: 30 Dec 2016 Posts: 230 GMAT 1: 650 Q42 V37 GPA: 4 WE: Business Development (Other) Re: Did the sum of the prices of three shirts exceed$60?  [#permalink]

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GMATPrepNow wrote:
Bunuel wrote:
Did the sum of the prices of three shirts exceed $60? (1) The price of the most expensive of the shirts exceeded$30.
(2) The price of the least expensive of the shirts exceeded $20. Kudos for a correct solution. Target question: Did the sum of the prices of three shirts exceed$60?

Statement 1: The price of the most expensive of the shirts exceeded $30 This statement doesn't FEEL sufficient, so I'll TEST some values. Case a: the shirt prices are$31, $32 and$33, in which case the sum of the 3 prices EXCEEDS $60 Case b: the shirt prices are$11, $12 and$33, in which case the sum of the 3 prices DOES NOT exceed $60 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/dat ... lug-values Statement 2: The price of the least expensive of the shirts exceeded$20
If the least expensive shirt costs 20+ dollars, then the other 2 shirts also cost 20+ dollars each
(20+ dollars) + (20+ dollars) + (20+ dollars) = 60+ dollars
So, we can conclude that the sum of the 3 prices EXCEEDS $60 Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer = B Cheers, Brent Nicely explained Brent.! I love your explanations and the way you always enlighten with some valuable complimentary videos or articles. And thanks for sharing the link to your article that was really informative and helpful. Veritas Prep GMAT Instructor G Joined: 01 Jul 2017 Posts: 81 Location: United States Concentration: Leadership, Organizational Behavior Re: Did the sum of the prices of three shirts exceed$60?  [#permalink]

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Let's talk strategy here. Many explanations of Quantitative questions focus blindly on the math, but remember: the GMAT is a critical-thinking test. For those of you studying for the GMAT, you will want to internalize strategies that actually minimize the amount of math that needs to be done, making it easier to manage your time. The tactics I will show you here will be useful for numerous questions, not just this one. My solution is going to walk through not just what the answer is, but how to strategically think about it. Ready? Here is the full “GMAT Jujitsu” for this question:

Many people spend too much time on Data Sufficiency questions because they think they need to get to the bitter end. The question asks “Did the sum of the prices of three shirts exceed $60?” This is a “Yes/No” question – a very common structure for Data Sufficiency problems. The fundamental trap for problems like these is to bait you into thinking that you actually need to solve for every value. You don’t. As soon as you have enough information to conclude that a statement is either sufficient or insufficient, you can move on. For “Yes/No” questions, if you can think of two situations (or two variable inputs) that are consistent with all of the problem’s constraints but come up with different answers to the question, you know a statement is insufficient. In my classes, I call this strategy “Play Both Sides.” Let’s analyze each statement, and you will see what I mean. Statement #1 tells us that the “price of the most expensive of the shirts exceeded $$30$$.” Trying to “mathematize” this into a formula is unnecessary. We just need to think of two situations that would give us different answers to the “Yes/No” question. Given the information in Statement #1, is it possible that the prices of the three shirts exceeds $$60$$? Sure. If the most expensive shirt exceeded $$30$$, it is easily possible that that shirt was over $$60$$ by itself. We can answer “Yes”. Is it possible the three shirts didn’t exceed $$60$$? Sure. If the most expensive shirt was $$31$$, and the other shirts were free, they would sum to well less than $$60$$. Since we can answer both “Yes” and “No”, Statement #1 is insufficient. Statement #2 tells us that the “price of the least expensive of the shirts exceeded$20.” The primary bait behind this statement is to trick you into turning your brain off. Statement #2 is very similar in appearance to Statement #1. It sounds like it is playing the same game. But when you see similar statements in Data Sufficiency questions, you should start by looking at how the statements are different, and see if those differences are meaningful. You see, if the “least expensive” shirt exceeded $$20$$, then we can’t get any free shirts. Every shirt must cost more than $$20$$. And since the problem tells us that we are buying “three shirts”, then the total cost must be greater than $$3*(20)$$. The price must exceed $$60$$. Statement #2 is totally sufficient.

Now, let’s look back at this problem through the lens of strategy. This question can teach us patterns seen throughout the GMAT. First, notice that this problem is much more about logic and critical-thinking than it is about math. With “Yes/No” questions, a great tactic that you can often use is to plug in easy, hypothetical values that provide different answers to the question. Naturally, those values must follow the constraints inside the question, but if you can do this, you can “Play Both Sides” and disprove sufficiency. Second, similar-looking statements in Data Sufficiency questions often bait you into thinking that you must solve each statement in the exact same way. The trick is to leverage the differences between the statements, rather than thinking linearly and assuming because they sound the same that they play the same game. And that is how you think like the GMAT.
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Re: Did the sum of the prices of three shirts exceed $60? [#permalink] ### Show Tags Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: Did the sum of the prices of three shirts exceed$60?   [#permalink] 28 Nov 2019, 10:34
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