GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Oct 2019, 08:26

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

If the average of four numbers is 35, how many of the numbers are less

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58380
If the average of four numbers is 35, how many of the numbers are less  [#permalink]

Show Tags

New post 28 Feb 2016, 11:47
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (01:25) correct 29% (01:15) wrong based on 125 sessions

HideShow timer Statistics

Manager
Manager
User avatar
Joined: 15 Feb 2016
Posts: 59
GMAT 1: 710 Q48 V40
Reviews Badge
If the average of four numbers is 35, how many of the numbers are less  [#permalink]

Show Tags

New post 28 Feb 2016, 12:01
1
Bunuel wrote:
If the average of four numbers is 35, how many of the numbers are less than 35?

(1) None of the numbers are exactly 35

(2) Two of the numbers are exactly 33



Average is 35
Sum should be 35*4 =140

Statement 1 -
Numbers can be 1,2,3,134 (3 less than 35)
Number can be 34,36,36,34 (2 less than 35)
etc

Statement 2-
Numbers can be 33,33,37,37 (2 less than 35)
Number can be 33,33,1,73 (3 less than 35)
etc

Combining both
Numbers can be 33,33,37,37 (2 less than 35)
Number can be 33,33,1,73 (3 less than 35)
etc

No unique answer

Hence Answer E
_________________
It is not who I am underneath but what I do that defines me.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4006
Location: Canada
If the average of four numbers is 35, how many of the numbers are less  [#permalink]

Show Tags

New post 03 Jan 2019, 09:32
Top Contributor
Bunuel wrote:
If the average of four numbers is 35, how many of the numbers are less than 35?

(1) None of the numbers are exactly 35

(2) Two of the numbers are exactly 33


Target question: How many of the numbers are less than 35?

Given: The average of four numbers is 35
All this tells us is that the SUM of the 4 numbers is 140 (since 140/4 = 35)
Given the limited amount of information, it's likely that the correct answer is C or E

Statement 1: None of the numbers are exactly 35
There are many sets of 4 numbers y that satisfy statement 1. Here are two:
Case a: The numbers are {34, 34, 36, 36}. In this case, the answer to the target question is 2 numbers are less than 35
Case b: The numbers are {0, 0, 0, 140}. In this case, the answer to the target question is 3 numbers are less than 35
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Two of the numbers are exactly 33
There are many sets of 4 numbers y that satisfy statement 1. Here are two:
Case a: The numbers are {33, 33, 37, 37}. In this case, the answer to the target question is 2 numbers are less than 35
Case b: The numbers are {0, 33, 33, 74}. In this case, the answer to the target question is 3 numbers are less than 35
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
IMPORTANT: Notice that the cases I created for statement 2 ALSO satisfy statement 1.
So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: The numbers are {33, 33, 37, 37}. In this case, the answer to the target question is 2 numbers are less than 35
Case b: The numbers are {0, 33, 33, 74}. In this case, the answer to the target question is 3 numbers are less than 35
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent

RELATED VIDEO FROM OUR COURSE

_________________
Test confidently with gmatprepnow.com
Image
GMATH Teacher
User avatar
P
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: If the average of four numbers is 35, how many of the numbers are less  [#permalink]

Show Tags

New post 22 Jan 2019, 07:31
Bunuel wrote:
If the average of four numbers is 35, how many of the numbers are less than 35?

(1) None of the numbers are exactly 35

(2) Two of the numbers are exactly 33

\(\mu \left( {x,y,z,w} \right) = 35\)

\(?\,\,:\,\,\,\,\# \,\,{\rm{less}}\,\,{\rm{than}}\,\,35\)

\(\left( {1 + 2} \right)\,\,\,\left\{ \matrix{
\,{\rm{Take}}\,\,\left( {x,y,z,w} \right) = \left( {35 - 2,35 - 2,35 + 2,35 + 2} \right)\,\,\,\, \Rightarrow \,\,\,? = 2 \hfill \cr
\,{\rm{Take}}\,\,\left( {x,y,z,w} \right) = \left( {35 - 2,35 - 2,35 - 1,35 + 5} \right)\,\,\,\, \Rightarrow \,\,\,? = 3 \hfill \cr} \right.\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\left( {\rm{E}} \right)\)


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
GMAT Club Bot
Re: If the average of four numbers is 35, how many of the numbers are less   [#permalink] 22 Jan 2019, 07:31
Display posts from previous: Sort by

If the average of four numbers is 35, how many of the numbers are less

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





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