Author 
Message 
TAGS:

Hide Tags

Retired Moderator
Joined: 18 Sep 2014
Posts: 1162
Location: India

At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
27 Jul 2016, 05:04
Question Stats:
41% (01:27) correct 59% (01:52) wrong based on 149 sessions
HideShow timer Statistics
At a certain auto dealership, 500 cars were sold last week. If a different number of cars were sold on each of the seven days, did the dealership sell at least 50 cars on Friday of that week? (1) On Monday, the dealership sold 75 cars, which was the thirdhighest number of cars sold on any day that week. (2) On Saturday, the dealership sold 77 cars, which was the highest number of cars sold on any day that week.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
The only time you can lose is when you give up. Try hard and you will suceed. Thanks = Kudos. Kudos are appreciated
http://gmatclub.com/forum/rulesforpostinginverbalgmatforum134642.html When you post a question Pls. Provide its source & TAG your questions Avoid posting from unreliable sources.
My posts http://gmatclub.com/forum/beautyofcoordinategeometry213760.html#p1649924 http://gmatclub.com/forum/callingallmarchaprilgmattakerswhowanttocross213154.html http://gmatclub.com/forum/possessivepronouns200496.html http://gmatclub.com/forum/doublenegatives206717.html http://gmatclub.com/forum/thegreatestintegerfunction223595.html#p1721773 https://gmatclub.com/forum/improvereadinghabit233410.html#p1802265




SC Moderator
Joined: 13 Apr 2015
Posts: 1711
Location: India
Concentration: Strategy, General Management
GPA: 4
WE: Analyst (Retail)

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
27 Jul 2016, 06:04
Number of cars sold in the week = 500
St1: 3rd highest = 75 > Since there is no upper limit there is a possibility that the number of cars sold on a given day is less than 50 and that day may or may not be Friday. Not Sufficient
St2: Highest = 77 > Upper limit = 77 In order to reduce the value of the lowest assume the other 5 values to be 76, 75, 74, 73, 72 77 + 76 + 75 + 74 + 73 + 72 = 447. The least value on any given day is 500  447 = 53 > Number of cars sold on Friday > 52 Sufficient
Answer: B




Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3692

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
27 Jul 2016, 05:49
Nevernevergiveup wrote: At a certain auto dealership, 500 cars were sold last week. If a different number of cars were sold on each of the seven days, did the dealership sell at least 50 cars on Friday of that week?
(1) On Monday, the dealership sold 75 cars, which was the thirdhighest number of cars sold on any day that week.
(2) On Saturday, the dealership sold 77 cars, which was the highest number of cars sold on any day that week. Statement 1 : (1) On Monday, the dealership sold 75 cars, which was the thirdhighest number of cars sold on any day that week. It means we could have 0 cars on a single day and around 100+ cars on some other day. Hence, we are not sure if Friday would have at least 50 cars or not. Insufficient. Statement 2 : (2) On Saturday, the dealership sold 77 cars, which was the highest number of cars sold on any day that week. If 77 is the highest number of cars, then we could have 6 days with 77 cars and the left 38 cars on some other day. Again no information for Friday. Insufficient. Combining, Highest is 77 and 3rd highest is 75=> 2nd highest is 76. Still, apart from these, we could have other days containing 75 cars except one(which could be Friday). or we could have Friday containing 50+ cars. Hence, insufficient. Answer E.
_________________
My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub  Importance of an Error Log! Verbal Resources: All SC Resources at one place  All CR Resources at one place Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality  View More. New Visa Forum  Ask all your Visa Related Questions  here.
New! Best Reply Functionality on GMAT Club! Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free



Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3692

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
27 Jul 2016, 06:55
Vyshak wrote: Number of cars sold in the week = 500
St1: 3rd highest = 75 > Since there is no upper limit there is a possibility that the number of cars sold on a given day is less than 50 and that day may or may not be Friday. Not Sufficient
St2: Highest = 77 > Upper limit = 77 In order to reduce the value of the lowest assume the other 5 values to be 76, 75, 74, 73, 72 77 + 76 + 75 + 74 + 73 + 72 = 447. The least value on any given day is 500  447 = 53 > Number of cars sold on Friday > 52 Sufficient
Answer: B why did you assume the other days would have 74,73 and 72? We can have something like 77 + 76 + 75 + 75 + 75 + 75 = 453. Hence, Friday could have 47 cars sold as well. Please correct me if I am missing anything.
_________________
My GMAT Story: From V21 to V40 My MBA Journey: My 10 years long MBA Dream My Secret Hacks: Best way to use GMATClub  Importance of an Error Log! Verbal Resources: All SC Resources at one place  All CR Resources at one place Blog: Subscribe to Question of the Day Blog
GMAT Club Inbuilt Error Log Functionality  View More. New Visa Forum  Ask all your Visa Related Questions  here.
New! Best Reply Functionality on GMAT Club! Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free



SC Moderator
Joined: 13 Apr 2015
Posts: 1711
Location: India
Concentration: Strategy, General Management
GPA: 4
WE: Analyst (Retail)

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
27 Jul 2016, 06:58
Question states that different number of cars are sold on each of the seven days.. So you can't assume same number of cars to be sold on 4 days.
Sent from my ONE A2003 using Tapatalk



Manager
Joined: 07 Jul 2016
Posts: 79
GPA: 4

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
27 Jul 2016, 08:29
Nevernevergiveup wrote: At a certain auto dealership, 500 cars were sold last week. If a different number of cars were sold on each of the seven days, did the dealership sell at least 50 cars on Friday of that week? For these types of questions, the statement: a different number of cars were sold on each of the seven days is very important. (1) On Monday, the dealership sold 75 cars, which was the thirdhighest number of cars sold on any day that week. The majority of cars could be sold on the top 3 days, leaving Friday with 0 cars sold. Alternately, Friday could have sold more than 50 if it were the 4th highest. Insufficient(2) On Saturday, the dealership sold 77 cars, which was the highest number of cars sold on any day that week. We want Friday to be at the lowest possible, so have all other days at the maximum possible. To obtain the maximum sales: Take the sum of the 6 consecutive integers counting down from 77: \(77 + 76 + \ldots +72 = 6 \times \frac{1}{2} \times (77 + 72) = 447\) Therefore the minimum number of cars sold on Friday is 53 Sufficient(B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
_________________
Please press +1 Kudos if this post helps.



Manager
Joined: 17 Sep 2015
Posts: 95

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
28 Jul 2016, 04:48
At a certain auto dealership, 500 cars were sold last week. If a different number of cars were sold on each of the seven days, did the dealership sell at least 50 cars on Friday of that week? (1) On Monday, the dealership sold 75 cars, which was the thirdhighest number of cars sold on any day that week. (2) On Saturday, the dealership sold 77 cars, which was the highest number of cars sold on any day that week. A) M = 75, from the other 5 days let 2nd highest be 76 and highest be 77 take the 6 days other than fri as (in increasing order) : 72, 73, 74, 75, 76, 77 Total is less than 250, hence Fri can be more than 50, but need not be. If the max number of car sold exceeds say its 100, and the rest remain the same, Fri will be less than 50 > not sufficient B) as proved above, if highest is 77 then least is more than 50. > sufficient (B)
_________________
You have to dig deep and find out what it takes to reshuffle the cards life dealt you



Intern
Joined: 30 Aug 2014
Posts: 7

Re: At a certain auto dealership, 500 cars were sold last week.
[#permalink]
Show Tags
03 Oct 2017, 06:14
why only friday would have that 53 cars..why not some other day




Re: At a certain auto dealership, 500 cars were sold last week. &nbs
[#permalink]
03 Oct 2017, 06:14






