It is currently 21 Nov 2017, 21:27

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

M14-15

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42281

Kudos [?]: 132984 [0], given: 12400

M14-15 [#permalink]

Show Tags

New post 16 Sep 2014, 00:53
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (00:43) correct 18% (01:05) wrong based on 78 sessions

HideShow timer Statistics

The average weight of 15 items is 8 kilograms. If at least one item weighs exactly 5 kilograms, what is the maximum number of items that can have the same weight of 5 kilograms?

A. 3
B. 5
C. 6
D. 10
E. 14
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 132984 [0], given: 12400

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42281

Kudos [?]: 132984 [0], given: 12400

Re M14-15 [#permalink]

Show Tags

New post 16 Sep 2014, 00:53
Official Solution:

The average weight of 15 items is 8 kilograms. If at least one item weighs exactly 5 kilograms, what is the maximum number of items that can have the same weight of 5 kilograms?

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


Total weight of these 15 items is \(15*8=120\) kilograms.

We also know that at least one item weighs exactly 5 kilograms. Now, all 15 items cannot have the same weight of 5 kilograms since in this case average weight would be 5 kilograms and not 8.

Can 14 items have the same weight of 5 kilograms? Why not? In this case the total weight of these 14 items would be \(14*5=70\) kilograms and the last item would be 50 kilograms \((70+50=120)\).


Answer: E
_________________

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

Kudos [?]: 132984 [0], given: 12400

Intern
Intern
avatar
B
Joined: 20 Aug 2017
Posts: 38

Kudos [?]: 6 [0], given: 5

CAT Tests
Re: M14-15 [#permalink]

Show Tags

New post 15 Sep 2017, 17:13
Why all the complications in the question? Why not simply ask "The average weight of 15 items is 8 kilograms. What is the maximum number of items that can weigh exactly 5 kilograms?" I'm not sure how adding the phrase "If at least one item weighs exactly 5 kilograms" adds anything but confusion. Whether at least 1 item weighs 5 kilos is irrelevant.

Kudos [?]: 6 [0], given: 5

Re: M14-15   [#permalink] 15 Sep 2017, 17:13
Display posts from previous: Sort by

M14-15

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

Moderators: Bunuel, chetan2u



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®.