NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 04:14 It is currently 24 Apr 2024, 04:14
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

The average weight of 15 items is 8 kg. The least average

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
tania
Intern
Intern
Joined: 02 Oct 2008
Posts: 39
Own Kudos [?]: 271 [21]
Given Kudos: 0
Send PM
The average weight of 15 items is 8 kg. The least average [#permalink] New post   31 Dec 2009, 19:42
1
Kudos
20
Bookmarks
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

61% (02:08) correct 39% (02:22) wrong based on 503 sessions
Hide Show timer Statistics
The average weight of 15 items is 8 kg. The least average weight of 5 items of these 15 is 5 kg. If no item weighs less than 5 kg, what is the maximum number of items that can have the same weight?

A. 3
B. 5
C. 6
D. 10
E. 14

m14#15

Experience a GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92901
Own Kudos [?]: 618701 [13]
Given Kudos: 81586
Send PM
CAT Tests Forum Quiz Mode
Re: The average weight of 15 items is 8 kg. The least average [#permalink] New post   31 Dec 2009, 20:07
9
Kudos
4
Bookmarks
Expert Reply
tania wrote:
The average weight of 15 items is 8 kg. The least average weight of 5 items of these 15 is 5 kg. If no item weighs less than 5 kg, what is the maximum number of items that can have the same weight?

3
5
6
10
14

Ans is 14

Can someone explain me how to solve the above problem?


As average weight of 5 items of these 15 is 5 kg. and if no item weighs less than 5 kg, then each of these 5 lightest items weight exactly 5kg.

But there might be more than 5 items with weight 5kg. Why not 14? 14*5=70 and the las item will be 50kg to make the average wight of 8kg.

Answer: E (14)
General Discussion
User avatar
crack700
Intern
Intern
Joined: 20 Mar 2010
Posts: 44
Own Kudos [?]: 189 [1]
Given Kudos: 1
Send PM
Re: The average weight of 15 items is 8 kg. The least average [#permalink] New post   02 Aug 2010, 20:57
1
Kudos
bibha wrote:
The average weight of 15 items is 8 kg. The least average weight of 5 items of these 15 is 5 kg. If no item weighs less than 5 kg, what is the maximum number of items that can have the same weight?
3
5
6
10
14

I always get confused with these kind of questions :-(


I will go with E

The average weight of 15 items = 8kg. Sum of weights of 15 items =120
If the least average weight of 5 items is 5 kg and each item weighs at least 5 kg. Then all these 5 items have a weight of 5 kg.
Now maximum number of items with same weight can be =
maximum no of items that can have weight 5 (14 ; 14 items weigh 5 kgs and 15th item weigh 50 kgs)
or
maximum no of items that can have a weight of x among the 10 highest weighing items (<=10)

whichever is greater

14 is obviously greater than 10 . so we don't have to calculate the second one. Answer should be 14.
User avatar
G
CounterSniper
Director
Director
Joined: 20 Feb 2015
Posts: 631
Own Kudos [?]: 711 [3]
Given Kudos: 74
Concentration: Strategy, General Management
Send PM
Re: The average weight of 15 items is 8 kg. The least average [#permalink] New post   17 Jun 2016, 04:04
3
Kudos
total weight = 15*8 =120 kg
least average weight of 5 items = 5*5 = 25 kg
wt remaining = 95 kgs
items remaining = 10
let 9 tems have weight 5 kg and the remaining = 95-45=50 kg
no of items having same weight = 9 + 5 =14
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3127 [0]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: The average weight of 15 items is 8 kg. The least average [#permalink] New post   18 Dec 2016, 11:32
Nice Question.
I used hit and trial on this one
5 each of 14 =>
and last will be -> Over 5

Hence E
User avatar
G
Hero8888
Senior Manager
Senior Manager
Joined: 29 Dec 2017
Posts: 302
Own Kudos [?]: 307 [0]
Given Kudos: 273
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE:Marketing (Telecommunications)
Send PM
Re: The average weight of 15 items is 8 kg. The least average [#permalink] New post   08 Apr 2018, 11:09
tania wrote:
The average weight of 15 items is 8 kg. The least average weight of 5 items of these 15 is 5 kg. If no item weighs less than 5 kg, what is the maximum number of items that can have the same weight?

A. 3
B. 5
C. 6
D. 10
E. 14

m14#15


1 item of all 15 is 5 kg --> 120 kg (total weight) - 5 kg = 115 kg. Let's 115/14 (remain itms) = 8 3/14 >5 , so all 14 items. (E)
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32643
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: The average weight of 15 items is 8 kg. The least average [#permalink] New post   28 Nov 2023, 09:16
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.
GMAT Club Bot
gmatclubot
Re: The average weight of 15 items is 8 kg. The least average [#permalink]
28 Nov 2023, 09:16
Moderators:
Bunuel
Math Expert
92901 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