Last visit was: 15 Jul 2025, 16:31 It is currently 15 Jul 2025, 16:31
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
505-555 Level|   Word Problems|                              
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Jul 2025
Posts: 102,582
Own Kudos:
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,582
Kudos: 741,698
 [62]
6
Kudos
Add Kudos
56
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Jul 2025
Posts: 102,582
Own Kudos:
Given Kudos: 98,190
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,582
Kudos: 741,698
 [27]
17
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
avatar
AKG1593
Joined: 20 Dec 2013
Last visit: 30 Mar 2024
Posts: 182
Own Kudos:
312
 [9]
Given Kudos: 35
Location: India
Posts: 182
Kudos: 312
 [9]
6
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
User avatar
Abdul29
Joined: 11 Jan 2014
Last visit: 20 Nov 2024
Posts: 78
Own Kudos:
416
 [5]
Given Kudos: 11
Concentration: Finance, Statistics
GMAT Date: 03-04-2014
GPA: 3.77
WE:Analyst (Retail Banking)
Posts: 78
Kudos: 416
 [5]
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
I got (B) too. However, is it correct to use this approach?

20+15-1 (to avoid double-counting) = 34.
User avatar
HarveyS
Joined: 14 Jan 2013
Last visit: 25 Apr 2017
Posts: 112
Own Kudos:
1,671
 [1]
Given Kudos: 30
Concentration: Strategy, Technology
GMAT Date: 08-01-2013
GPA: 3.7
WE:Consulting (Consulting)
Posts: 112
Kudos: 1,671
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I am not clear how to solve this problem.... Can any one detail out... thanks
avatar
noTh1ng
Joined: 07 Apr 2015
Last visit: 06 Jan 2017
Posts: 126
Own Kudos:
201
 [3]
Given Kudos: 185
Posts: 126
Kudos: 201
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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
User avatar
ydmuley
User avatar
Retired Moderator
Joined: 19 Mar 2014
Last visit: 01 Dec 2019
Posts: 809
Own Kudos:
890
 [1]
Given Kudos: 199
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
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 = 34

So, in all there were 34 items sold at the garage.

Hence, Answer is B
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 15 Jul 2025
Posts: 21,112
Own Kudos:
26,168
 [4]
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,112
Kudos: 26,168
 [4]
3
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

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
User avatar
BrentGMATPrepNow
User avatar
Major Poster
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,755
Own Kudos:
34,092
 [7]
Given Kudos: 799
Location: Canada
Expert
Expert reply
Posts: 6,755
Kudos: 34,092
 [7]
7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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


The price of the radio was the 15th highest price
So, 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 price
So, 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
User avatar
fskilnik
Joined: 12 Oct 2010
Last visit: 03 Jan 2025
Posts: 885
Own Kudos:
Given Kudos: 57
Status:GMATH founder
Expert
Expert reply
Posts: 885
Kudos: 1,698
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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
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
04Set18_11t.gif [ 2.78 KiB | Viewed 30142 times ]

User avatar
Salsanousi
Joined: 19 Oct 2013
Last visit: 29 Dec 2020
Posts: 399
Own Kudos:
Given Kudos: 117
Location: Kuwait
GPA: 3.2
WE:Engineering (Real Estate)
Posts: 399
Kudos: 345
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

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 Project

Each 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
User avatar
MHIKER
Joined: 14 Jul 2010
Last visit: 24 May 2021
Posts: 945
Own Kudos:
Given Kudos: 690
Status:No dream is too large, no dreamer is too small
Concentration: Accounting
Posts: 945
Kudos: 5,463
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
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


For counting up 15 is the highest and counting down 15 is the lowest. So 15 is counting double.

The total should be 15+20-1= 34

The answer is B.
User avatar
100mitra
Joined: 29 Apr 2019
Last visit: 06 Jul 2022
Posts: 716
Own Kudos:
Given Kudos: 49
Status:Learning
Posts: 716
Kudos: 617
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Correct option B

Radio : 1 item
15th highest = below 14 items are available
20 lowest = above 19 items are available

Total=
14 (items with higher price than the radio)+
9(items with lower price than radio)+
1(radio itself)
=34
Option B
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,412
Own Kudos:
Posts: 37,412
Kudos: 1,013
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderators:
Math Expert
102582 posts
PS Forum Moderator
695 posts