February 16, 2019 February 16, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52905

At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
05 Feb 2014, 01:31
Question Stats:
75% (01:10) correct 25% (01:30) wrong based on 770 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionAt a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale? (A) 33 (B) 34 (C) 35 (D) 36 (E) 37 Problem Solving Question: 80 Category: Arithmetic Operations with integers Page: 72 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




Math Expert
Joined: 02 Sep 2009
Posts: 52905

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
05 Feb 2014, 01:31




Manager
Joined: 20 Dec 2013
Posts: 229
Location: India

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
05 Feb 2014, 07:27
Ans B
Total=14 (items with higher price than the radio)+19(items with lower price than radio)+1(radio itself)=34



Manager
Joined: 11 Jan 2014
Posts: 87
Concentration: Finance, Statistics
GMAT Date: 03042014
GPA: 3.77
WE: Analyst (Retail Banking)

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
07 Feb 2014, 12:36
I got (B) too. However, is it correct to use this approach?
20+151 (to avoid doublecounting) = 34.



Manager
Joined: 14 Jan 2013
Posts: 138
Concentration: Strategy, Technology
GMAT Date: 08012013
GPA: 3.7
WE: Consulting (Consulting)

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
07 Feb 2014, 20:42
I am not clear how to solve this problem.... Can any one detail out... thanks



Math Expert
Joined: 02 Sep 2009
Posts: 52905

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
08 Feb 2014, 03:14



Manager
Joined: 07 Apr 2015
Posts: 164

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
18 May 2015, 02:33
There are 14 objects that have a higher price as the radio, as well as 19 objects that have a lower price than the radio.
14 + 19 + 1 (the radio itself) = 34 different objects



Retired Moderator
Joined: 19 Mar 2014
Posts: 934
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
03 Jul 2017, 11:07
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?Given: Price of Radio is 15th Heighest and 20th Lowest Which means form top if you count price will be 15th and if you count from bottom the count will be 20th. So, from top it is 15th and there are 19 more items below the list (As this is 20th from bottom) Hence, 15 + 19 = 34So, in all there were 34 items sold at the garage. Hence, Answer is B
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."
Best AWA Template: https://gmatclub.com/forum/howtoget60awamyguide64327.html#p470475



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4915
Location: United States (CA)

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
29 Mar 2018, 16:38
Bunuel wrote: At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?
(A) 33 (B) 34 (C) 35 (D) 36 (E) 37
Since the radio is the 15th highest and 20th lowest we see that 14 items have price higher than the radio and 19 items have price lower than the radio, so the total number of items at the sale is 14 + 19 + 1 = 34. (Note that the +1 item is the radio itself.) Answer: B
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



CEO
Joined: 11 Sep 2015
Posts: 3429
Location: Canada

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
31 Mar 2018, 05:50
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionAt a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale? (A) 33 (B) 34 (C) 35 (D) 36 (E) 37 The price of the radio was the 15th highest priceSo, there were 14 items that were more expensive than the radio. In other words, if we listed all of the prices in ascending order, we'd get something like: ........... radio, X, X, X, X, X, X, X, X, X, X, X, X, X, X The price of the radio was the 20th lowest priceSo, there were 19 items than were less expensive than the radio. In other words, if we listed all of the prices in ascending order, we'd get something like: X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, radio,...... So, when we combine both pieces of information, we have 19 items that were less expensive than the radio, and we have 14 items that were more expensive than the radio: X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, radio, X, X, X, X, X, X, X, X, X, X, X, X, X, X So, the total number of items sold = 19 + 14 + 1 (the radio itself) = 34 = B Cheers, Brent
_________________
Test confidently with gmatprepnow.com



GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 730

At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
04 Sep 2018, 08:31
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionAt a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale? (A) 33 (B) 34 (C) 35 (D) 36 (E) 37 A simple drawing does the trick! ? = 20+14 = 34. This solution follows the notations and rationale taught in the GMATH method. Regards, fskilnik.
Attachments
04Set18_11t.gif [ 2.78 KiB  Viewed 1609 times ]
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our highlevel "quant" preparation starts here: https://gmath.net



Director
Joined: 19 Oct 2013
Posts: 508
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)

Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
Show Tags
29 Sep 2018, 09:56
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionAt a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale? (A) 33 (B) 34 (C) 35 (D) 36 (E) 37 Problem Solving Question: 80 Category: Arithmetic Operations with integers Page: 72 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! If it is the 15th it means there are 14 higher in price and if it is 20th it means there are 19 that are lower in price Adding these two we get 14+19+1 = 34, the one here is added to include the radio itself. Or 20+15  1 = 34 Answer choice B




Re: At a garage sale, all of the prices of the items sold were d
[#permalink]
29 Sep 2018, 09:56






