GMAT Changed on April 16th - Read about the latest changes here

It is currently 23 Apr 2018, 08:18

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
avatar
Joined: 02 Oct 2008
Posts: 54
The average weight of 15 items is 8 kg. The least average [#permalink]

Show Tags

New post 31 Dec 2009, 19:42
1
This post received
KUDOS
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (01:33) correct 42% (01:45) wrong based on 348 sessions

HideShow 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
[Reveal] Spoiler: OA
Expert Post
5 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44636
Re: m14#15 [#permalink]

Show Tags

New post 31 Dec 2009, 20:07
5
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
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)
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Manager
Manager
avatar
Joined: 20 Mar 2010
Posts: 82
Re: avg. weight [#permalink]

Show Tags

New post 02 Aug 2010, 20:57
1
This post received
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.
_________________

___________________________________
Please give me kudos if you like my post

Senior Manager
Senior Manager
avatar
Joined: 20 Feb 2015
Posts: 385
Concentration: Strategy, General Management
Re: The average weight of 15 items is 8 kg. The least average [#permalink]

Show Tags

New post 17 Jun 2016, 04:04
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
BSchool Forum Moderator
User avatar
D
Joined: 12 Aug 2015
Posts: 2582
GRE 1: 323 Q169 V154
GMAT ToolKit User Premium Member
Re: The average weight of 15 items is 8 kg. The least average [#permalink]

Show Tags

New post 18 Dec 2016, 11:32
Intern
Intern
User avatar
B
Joined: 29 Dec 2017
Posts: 36
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GPA: 3.25
WE: Marketing (Telecommunications)
Re: The average weight of 15 items is 8 kg. The least average [#permalink]

Show Tags

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)
Re: The average weight of 15 items is 8 kg. The least average   [#permalink] 08 Apr 2018, 11:09
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.