NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 17:10 It is currently 24 Apr 2024, 17:10
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

At a special sale, all of the prices of the items were different. If

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92900
Own Kudos [?]: 618813 [3]
Given Kudos: 81588
Send PM
CAT Tests Forum Quiz Mode
At a special sale, all of the prices of the items were different. If [#permalink] New post   15 Sep 2020, 08:00
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

81% (01:04) correct 19% (01:21) wrong based on 207 sessions
Hide Show timer Statistics
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?


A. 33
B. 34
C. 35
D. 36
E. 37
ShowHide Answer
Official Answer
B
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8018
Own Kudos [?]: 4096 [1]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   15 Sep 2020, 08:05
1
Kudos
Bunuel wrote:
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?


A. 33
B. 34
C. 35
D. 36
E. 37


considering that radio is placed in sequence of increasing price we get 14 items below radio and
when radio is placed in descending order its at 20th place
total items 14+20 ; 34
OPTION B
avatar
G
Akp880
Manager
Manager
Joined: 24 Mar 2019
Posts: 193
Own Kudos [?]: 126 [0]
Given Kudos: 196
Location: India
Concentration: Marketing, Operations
Schools: IIMA PGPX'23 IIM
WE:Operations (Aerospace and Defense)
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   15 Sep 2020, 08:11
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?


A. 33
B. 34
C. 35
D. 36
E. 37

Explanation:

As given radio price was 20th lowest and 15th highest

Implies, if we arrange prices in ascending order>>>

There will be 19 items before and 14 items ahead of given radio piece

So total item sold

=19+1+14

=34

Hence B is the correct answer.

Regards,
Atul Pandey

Posted from my mobile device
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29907 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   25 Nov 2020, 11:48
1
Bookmarks
Expert Reply
Top Contributor
Bunuel wrote:
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?

A. 33
B. 34
C. 35
D. 36
E. 37


Let x = the price of the radio

The price of a radio sold at the sale was the 15th highest price
So, if all of the prices were written in ASCENDING order, then there would be 14 items that are more expensive than x (the price of the radio)
In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?

The price of a radio sold at the sale was the 20th lowest price
So, if all of the prices were written in ASCENDING order, then there would be 19 items that are less expensive than x (the price of the radio)
In other words, our list would look like this: ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?,x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?

How many items were sold at the sale?
TOTAL number of items = 19 + 1 + 14 = 34

Answer: B
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22047 [2]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   30 Nov 2020, 10:13
2
Bookmarks
Expert Reply
Bunuel wrote:
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?


A. 33
B. 34
C. 35
D. 36
E. 37

Solution:

Since the radio had the 15th highest price, 14 items had a price higher than the radio. Likewise, since the radio had the 20th lowest price, 19 items had a price lower than the radio. Therefore, there were 14 + 1 + 19 = 34 items sold at the sale.

Answer: B
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5343
Own Kudos [?]: 3964 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   30 Nov 2020, 10:31
Given: At a special sale, all of the prices of the items were different.
Asked: If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?

If we arrange prices of all the items in descending order, we get
14 items - Radio - 19 items
Total items sold = 14 + 1 + 19 = 34

IMO B
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   30 Nov 2020, 10:51
Bunuel wrote:
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?


A. 33
B. 34
C. 35
D. 36
E. 37

|---------------19 items-------------Item---------14 items----------|

19 + 14 = 33 items...

Now, you are actually counting the middlemost item twice , once when counting highest & once while counting lowest, hence we must add 1 item!!!

Thus, correct Answer must be (B) 34
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   29 Jan 2023, 02:55
BrentGMATPrepNow wrote:
Bunuel wrote:
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?

A. 33
B. 34
C. 35
D. 36
E. 37


Let x = the price of the radio

The price of a radio sold at the sale was the 15th highest price
So, if all of the prices were written in ASCENDING order, then there would be 14 items that are more expensive than x (the price of the radio)
In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?

The price of a radio sold at the sale was the 20th lowest price
So, if all of the prices were written in ASCENDING order, then there would be 19 items that are less expensive than x (the price of the radio)
In other words, our list would look like this: ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?,x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?

How many items were sold at the sale?
TOTAL number of items = 19 + 1 + 14 = 34

Answer: B


Hi BrentGMATPrepNow, silly question that isn't x show as the 1st of the position and ? at the end is the 15th highest in ascending order? not sure what did I miss? Thanks Brent
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29907 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   29 Jan 2023, 11:10
Expert Reply
Top Contributor
Kimberly77 wrote:
BrentGMATPrepNow wrote:
Bunuel wrote:
At a special sale, all of the prices of the items were different. If the price of a radio sold at the sale was both the 15th highest and the 20th lowest price among the prices of the items sold, how many items were sold at the sale?

A. 33
B. 34
C. 35
D. 36
E. 37


Let x = the price of the radio

The price of a radio sold at the sale was the 15th highest price
So, if all of the prices were written in ASCENDING order, then there would be 14 items that are more expensive than x (the price of the radio)
In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?

The price of a radio sold at the sale was the 20th lowest price
So, if all of the prices were written in ASCENDING order, then there would be 19 items that are less expensive than x (the price of the radio)
In other words, our list would look like this: ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?,x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?

How many items were sold at the sale?
TOTAL number of items = 19 + 1 + 14 = 34

Answer: B


Hi BrentGMATPrepNow, silly question that isn't x show as the 1st of the position and ? at the end is the 15th highest in ascending order? not sure what did I miss? Thanks Brent


Sorry, can you please rephrase your question?
I'm not sure what you are asking.
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   01 Feb 2023, 12:43
Sure BrentGMATPrepNow, I mean according to below:

Isn't x show as the 1st of the position and ? at the end is the 15th highest in ascending order?

In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29907 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   02 Feb 2023, 17:12
Expert Reply
Top Contributor
Kimberly77 wrote:
Sure BrentGMATPrepNow, I mean according to below:

Isn't x show as the 1st of the position and ? at the end is the 15th highest in ascending order?

In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?


That part is just the beginning of my solution, where I show that x is the 15th highest in ascending order?
In other words, if x is the 15th highest price, then there are 14 values that are greater than x (thus the 14 ?'s)
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   04 Feb 2023, 12:17
BrentGMATPrepNow wrote:
Kimberly77 wrote:
Sure BrentGMATPrepNow, I mean according to below:

Isn't x show as the 1st of the position and ? at the end is the 15th highest in ascending order?

In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?


That part is just the beginning of my solution, where I show that x is the 15th highest in ascending order?
In other words, if x is the 15th highest price, then there are 14 values that are greater than x (thus the 14 ?'s)


Thanks BrentGMATPrepNow. If x is the 15th highest price, not sure why it doesn't mean there are 14 values lowver than 15th but greater here?
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29907 [0]
Given Kudos: 799
Location: Canada
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   05 Feb 2023, 07:55
Expert Reply
Top Contributor
Kimberly77 wrote:
BrentGMATPrepNow wrote:
Kimberly77 wrote:
Sure BrentGMATPrepNow, I mean according to below:

Isn't x show as the 1st of the position and ? at the end is the 15th highest in ascending order?

In other words, our list would look like this: ........x, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?


That part is just the beginning of my solution, where I show that x is the 15th highest in ascending order?
In other words, if x is the 15th highest price, then there are 14 values that are greater than x (thus the 14 ?'s)


Thanks BrentGMATPrepNow. If x is the 15th highest price, not sure why it doesn't mean there are 14 values lowver than 15th but greater here?


Sorry, but that's just what those words mean.
For example, if someone is the 2nd tallest person in the world, then that means there's only 1 person taller.
Similarly, if someone is the 15th tallest person in the world, then that means there are 14 people who are taller.
User avatar
S
Kimberly77
Senior Manager
Senior Manager
Joined: 16 Nov 2021
Posts: 476
Own Kudos [?]: 27 [0]
Given Kudos: 5900
Location: United Kingdom
Send PM
Re: At a special sale, all of the prices of the items were different. If [#permalink] New post   07 Feb 2023, 14:22
Ah your explanation is great and crystal clear as always...make sense now. Thanks BrentGMATPrepNow.
GMAT Club Bot
gmatclubot
Re: At a special sale, all of the prices of the items were different. If [#permalink]
07 Feb 2023, 14:22
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions