The table gives information about the annual car show that a certain a

Question

The table gives information about the annual car show that a certain antique car club held in an open field on the second Saturday in May each of the years 2000 through 2013. Each car show started at 9:00 in the morning (09:00) and ended at 3:00 in the afternoon (15:00). The club charged a fixed fee for registering a car in the show—one fee per car. Cars could be preregistered prior to the day of the show or registered on-site on the day of the show. Although the fee for preregistering a car was less than the fee for registering a car on-site, some people chose not to preregister their cars because preregistration fees were not refundable and they knew they would not attend the show if rain was forecasted.

For the first  n  car shows, where  n  is a positive integer less than 10, the fees were $10 for preregistering a car and $12 for registering a car on-site. For the remaining car shows, the fees for preregistering a car and for registering a car on-site were more than $10 and $12, respectively.

Year    Number of cars
pre-registered    Number of cars
registered on-site    Total cars registered     Total revenue
from registerations      2004   30  8  38  $396     2000   6  10  16  $180     2001   9  21  30  $342     2002   14  35  49  $560     2003   25  60  85  $970     2005   32  60  92  $1040     2008   39  60  99  $1368     2006   28  67  95  $1341     2011   33  69  102  $1431     2009   43  74  117  $1626     2012   35  83  118  $1665     2013   39  87  126  $1773     2007   37  90  127  $1794     2010   25  90  115  $1650

For each statement, select  Yes  if it can be determined from the information provided that the statement is true. Otherwise, select  No .

ID: 700209

KarishmaB · Accepted Answer

Video solution to this question:

https://www.youtube.com/watch?v=Ycf4nxv7Cms

You don't need to solve anything for (C).

Here is the question stem:
For each statement, select Yes if it can be determined from the information provided that the statement is true. Otherwise, select No.

It is a Data Sufficiency type of question. Can you determine whether the statement is true? Yes, you can determine because all figures are available. Divide each Revenue by number of cars and you get the average revenue for each year. Then you can FIND that 2010 is the year of max average revenue. Hence data is sufficient, you can determine and answer is 'Yes'. 
Do you need to actually find out whether it is true? NO!

So answer here will be YES.

PReciSioN · Answer

I wouldn't agree that this is a data sufficiency kind of question. Stem says - "select Yes if it can be determined from the information provided that the statement is true. Otherwise, select No." 
Now it so happens, that all 3 statements here are true. But if a statement was false, then we would have selected no. We would also have selected no, if we couldn't determine whether the statement was true or false.

The fastest way to approach C, is to realize that the average is a weighted average of the Pre-registrations price and the on-site registrations price. Since the On-Site registrations is costlier, so the year which has the highest ratio of On-site registrations to Pre-registrations would have the highest average. We can quickly see that 90/25 is much more than 3 which none of the years achieve.

T4Star · Answer

What does this statement mean ' For the first n car shows, where n is a positive integer less than 10, the fees were $10 for preregistering a car and $12 for registering a car on-site. For the remaining car shows, the fees for preregistering a car and for registering a car on-site were more than $10 and $12, respectively.'

chetan2u · Answer

There is one car show every year, so the first n car shows, which would mean shows in first n years, the price was 10 and 12 respectively for online regn and on site regn. However after these, the pricing increased.

You will get value of n by multiplying the figure in second column by 10 and adding it to the figure in third column multiplied by 12. If this total matches the total given in last column then the price has not increased and will be part of n.

Posted from my mobile device

Sneha2021 · Answer

KarishmaB

How to solve C (The year with the greatest average (arithmetic mean) revenue per car registered was 2010)?

Thank you for your help!

andrewjohn8 · Answer

Is this definitively the case? To me this does not read like a data sufficiency question. The verbiage seems to be such that "if it can be determined THAT the statement IS true." To me if it's just asking if there's enough information to determine it would say something like "if it can be determined if the statement is true" or something along those lines. Just seeking clarity on this. Is it asking if there's enough information? Or is it asking if the information is there AND that it proves to be true?

KarishmaB · Answer

I agree that there is a difference but both are questioning the sufficiency. I did notice the use of 'that' but it doesn't change what we need to do.

Q 1. For each statement, select Yes if it can be determined from the information provided  whether  the statement is true.

Asks you whether you can determine whether the statement is true or false. Do you have enough data to determine its veracity?

Q 2. For each statement, select Yes if it can be determined from the information provided  that  the statement is true.

Asks you whether you can determine that the information is true. It is not asking us whether the information is true. It is asking us whether we can determine that the information is true. So essentially it is telling us that the information is true. It is asking us whether we can figure this out with the data available to us. 
For us, sufficiency is all we need to establish. We do not need to check whether it is actually true.

Gemmie · Answer

If, for exactly one of the years 2000 through 2013, there was steady rain from 7:00 in the morning (07:00) until 7:00 in the evening (19:00) on the day of the car show, that year was most likely 2004. => Yes

2004 has the fewest cars registered on site, which is probably caused by the all-day rain

The preregistration and on-site registration fees for the car show in 2006 were more than they were for the car show in 2005. => Yes

Sort the "Total car registered"
2006: 95 cars
2005: 92 cars
=>> 2006 > 2005

The year with the greatest average (arithmetic mean) revenue per car registered was 2010. => Yes

Avg revenue =  \frac{Total-revenue}{Total-cars } 
=> Can be determined

GMATNinja · Answer

2004 is the ONLY year in which the number of pre-registered cars exceeds the number of cars registered on-site. In every other year, the number of cars registered on-site was at least 50% larger than the number of pre-registered cars -- and in many years, the number of cars registered on-site was about double the number of pre-registered cars.

So 2004 is a glaring exception. What could explain that?

Well, if it was raining all day, people probably wouldn't show up that day to register on-site. Sure, maybe rain in the forecast lowered the number of pre-registrations a bit, but it's likely that many people would have pre-registered before they knew about the rain. (Also, notice that the statement doesn't say anything about the rain being FORECASTED, so we cannot assume that people knew about the rain in advance.)

More importantly, there's absolutely no reason to think that the rain happened in any other year besides 2004. Does the table PROVE that it rained in 2004? Of course not, but that's not what's asked. 2004 is the only year for which there is EVIDENCE of rain, so if it did rain one of those years, that year was   most likely   2004.

As for the averages: you know that the average in 2010 is roughly $14, so you could just do some estimation. For example, for the year 2000, 16*14 = 16*(10+4) = 16*10+16*4 -- it's pretty easy to see that this will be more than $180, so we know the average for that year is actually much less than 14. For any that are close, you can use the calculator.

rohitsnful3 · Answer

We know that whatever we are given in question we should take it as such whether it is right or wrong in the real world. So as per this logic we are given in this question that 
"some people chose not to preregister their cars because preregistration fees were not refundable and they knew they would not attend the show if rain was forecasted" 
Based on this statement we should look at which year the pre-registration is the lowest instead of looking at the on-site registration numbers because on-site numbers don't have any correlation with the probability of having rain as per the given statement in the question. 
Is there any wrong in my reasoning, please explain anyone.

KarishmaB · Answer

Although the fee for preregistering a car was less than the fee for registering a car on-site, some people chose not to preregister their cars because preregistration fees were not refundable and they knew they would not attend the show if rain was forecasted.

We are given that they chose to not pre-register even though it was cheaper because they did not know whether they will be able to attend (they would not bring their cars if rain were forecast that day)
But if they registered on the spot, they would be able to take a call on whether they should or not based on whether rain was forecast that day. GMAT will expect you to understand this.

Bee99 · Answer

correct me if i am wrong, but if i determine that the statement is not true, it will be a negative case scenario of whether i can determine that the statement is true. I believe that "that" is used with determine to ascertain a fact and "whether" is used with determine to decide between two.

an example i found off the internet:
"We know he can reach the jar because we have determined that he is taller than one metre eighty."
"We will know if he can reach the jar when we have determined whether he is  taller or shorter  than one metre eighty."

Can somebody confirm?

chetan2u · Answer

The question is not   whether the statement is true   but   if it can be determined whether the statement is true  .

Say the answer is 'No'.
 Have you been able to determine whether the statement is true? =>  Surely yes, you have determined that the statement is not true.

Adding some more details on if the word is THAT and not whether. I missed out on the actual question.
With  whether  changing to  that , I would agree it becomes more of a Yes/No question, and not merely Data Sufficiency question.

Adarsh_24 · Answer

The official answer is similar to Karishma's explanation. Pasted as it is below.

Apply   
  It might be wise to determine what year the preregistration and on-site fees increased from $10 and $12 to amounts greater than $10 and $12. Consider the following calculations:  
      2000    
    6(10) + 10(12) = 60 + 120 = 180 ✓    
 
     2001    
    9(10) + 21(12) = 90 + 252 = 342 ✓    
 
     2002    
    14(10) + 35(12) = 140 + 420 = 560 ✓    
 
     2003    
    25(10) + 60(12) = 250 + 720 = 970 ✓    
 
     2004    
    30(10) + 8(12) = 300 + 96 = 396 ✓    
 
     2005    
    32(10) + 60(12) = 320 + 720 = 1,040 ✓    
 
     2006    
    28(10) + 67(12) = 280 + 804 = 1,084 < 1,341

The fees changed from being $10 and $12 for the years 2000–2005 to more than $10 and more than $12 in 2006.  
   RO1: Apply   
  If a steady rain began at 7:00 in the morning and continued all day, very few antique car owners who hadn’t already preregistered their cars would show up at the car show at 9:00 and register their car on-site. The table shows the fewest on-site registrations in 2004. Also, the on-site registrations accounted for only about 21% of the total registrations in 2004, while on-site registrations accounted for at least 60% of the total registrations in each of the other years. Therefore, 2004 was likely the year that it rained steadily throughout the duration of the car show.  
     The correct answer is  Yes .

RO2: Apply   
  That the preregistration and registration fees were greater for 2006 than they were for 2005 can be verified from the calculations above that show the fees were more in 2006 than they were in 2005.  
     The correct answer is  Yes .

RO3: Apply  
 For each year, the average revenue per car is totalrevenuefromregistations/totalcarsregistered. The table gives the total revenue from registrations as well as the total cars registered for each year, so the average revenue per car can be determined for each year. A comparison of these average revenues per car can be used to verify that the year with the greatest average revenue per car was 2010. 
  The correct answer is  Yes .

tgmat24 · Answer

Hi  KarishmaB

Want to confirm here again that both these question types essentially ask for sufficiency. We do not have to check if its actually true or not, just that the data is sufficient to find info.
Is this understanding correct?

KarishmaB · Answer

Yes, they are both testing sufficiency only. 
In the first case, statement can be true or false. You are asked whether you can determine what it is - sufficiency
In the second case, the statement is true. You are asked whether you can determine that it is true - sufficiency

Pranavsawant · Answer

How exactly are we determining the second question? We are given absolutely no data on the pre-registration and on-site registration fee in either years. Moreover, the number of pre-registration cars have decreased in 06 but the number of on-site registration cars have increased. It could very well happen that pre-registration cost has increased but the on-site registration cost has decreased.

How can we know that *both* preregistration and on-site registration fees have increased? Saying Yes to that feels such like a dubious inference

How can we know that *both* preregistration and on-site registration fees have increased? Saying Yes to that feels such like a dubious inference

mkeshri185 · Answer

I did not get the 2nd part of this que. It says whether the pre registration and on site regis both fees are more in 2006 than in 2005. How can we determine? Car numbers are diff so there may be something else possible

Bunuel · Answer

You’re wrong. We are in fact given clear data about the registration fees: for the first n years, they were $10 and $12, and for the remaining years, both fees were higher. Since 2005’s numbers fit perfectly with $10 and $12, that means 2005 was one of those early n years.

But 2006’s data doesn’t fit those same fees. With 28 preregistered and 67 on-site, 10 and 12 would give only $1084 (28*10 + 67*12 = $1084), not $1341. So 2006 must have been the first year when the registration fees rose.

You can even see this without doing the math: the total number of cars changed slightly, from 92 to 95, yet the total revenue jumped from 1040 to 1341. Three extra cars could not have produced $301 more in revenue under the same fees. Hence, both preregistration and on-site fees must have been higher in 2006.

[color=#3c3737]2000[/color]	[color=#3c3737]6(10) + 10(12) = 60 + 120 = 180 ✓[/color]
[color=#3c3737]2001[/color]	[color=#3c3737]9(10) + 21(12) = 90 + 252 = 342 ✓[/color]
[color=#3c3737]2002[/color]	[color=#3c3737]14(10) + 35(12) = 140 + 420 = 560 ✓[/color]
[color=#3c3737]2003[/color]	[color=#3c3737]25(10) + 60(12) = 250 + 720 = 970 ✓[/color]
[color=#3c3737]2004[/color]	[color=#3c3737]30(10) + 8(12) = 300 + 96 = 396 ✓[/color]
[color=#3c3737]2005[/color]	[color=#3c3737]32(10) + 60(12) = 320 + 720 = 1,040 ✓[/color]
[color=#3c3737]2006[/color]	[color=#3c3737]28(10) + 67(12) = 280 + 804 = 1,084 < 1,341[/color]

The table gives information about the annual car show that a certain a

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Year	Number of cars pre-registered	Number of cars registered on-site	Total cars registered	Total revenue from registerations
2004	30	8	38	$396
2000	6	10	16	$180
2001	9	21	30	$342
2002	14	35	49	$560
2003	25	60	85	$970
2005	32	60	92	$1040
2008	39	60	99	$1368
2006	28	67	95	$1341
2011	33	69	102	$1431
2009	43	74	117	$1626
2012	35	83	118	$1665
2013	39	87	126	$1773
2007	37	90	127	$1794
2010	25	90	115	$1650

GMAT Graphs and Tables (G&T) Questions

The table gives information about the annual car show that a certain a

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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My Rewards