GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 02 Jun 2020, 07:48

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

The symbols $ and # each represent one of the following operations:

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

Hide Tags

Find Similar Topics 
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 11 Sep 2015
Posts: 4882
Location: Canada
GMAT 1: 770 Q49 V46
The symbols $ and # each represent one of the following operations:  [#permalink]

Show Tags

New post 06 Aug 2019, 07:11
Top Contributor
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

48% (02:07) correct 52% (01:35) wrong based on 33 sessions

HideShow timer Statistics

The symbols $ and # each represent one of the following operations: addition, subtraction, multiplication or division. What is the value of 1 $ 1 # 1?

1) 2 $ 2 # 2 = 3

2) 3 $ 2 # 1 = 5

_________________
Test confidently with gmatprepnow.com
Image
NUS School Moderator
avatar
V
Joined: 18 Jul 2018
Posts: 1121
Location: India
Concentration: Operations, General Management
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE: Engineering (Energy and Utilities)
Reviews Badge CAT Tests
Re: The symbols $ and # each represent one of the following operations:  [#permalink]

Show Tags

New post 06 Aug 2019, 08:54
1
From 1:

2 $ 2 # 2 = 3

If $ is /, then # is +.
If $ is +, then # is /.
In both cases, the value of 1 $ 1 # 1 is the same, i.e, 2.
Sufficient.

From 2:

3 $ 2 # 1 = 5

If $ is x, then # is -.
If $ is +, then # is /.
In both cases, the value of 1 $ 1 # 1 is NOT the same.
Insufficient.

A is the answer.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 11 Sep 2015
Posts: 4882
Location: Canada
GMAT 1: 770 Q49 V46
Re: The symbols $ and # each represent one of the following operations:  [#permalink]

Show Tags

New post 07 Aug 2019, 08:51
Top Contributor
1
GMATPrepNow wrote:
The symbols $ and # each represent one of the following operations: addition, subtraction, multiplication or division. What is the value of 1 $ 1 # 1?

1) 2 $ 2 # 2 = 3

2) 3 $ 2 # 1 = 5


Target question: What is the value of 1 $ 1 # 1?

Statement 1: 2 $ 2 # 2 = 3
There are two possible cases in which 2 $ 2 # 2 = 3
Case a: $ represents +, and # represents ÷. We get 2 + 2 ÷ 2 = 3, which works. In this case, the answer to the target question is 1 $ 1 # 1 = 1 + 1 ÷ 1 = 2
Case b: $ represents ÷, and # represents +. We get 2 ÷ 2 + 2 = 3, which works. In this case, the answer to the target question is 1 $ 1 # 1 = 1 ÷ 1 + 1 = 2
Since, we get the SAME answer to the target question (1 $ 1 # 1 = 2) in both cases, it MUST be the case that 1 $ 1 # 1 = 2
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 3 $ 2 # 1 = 5
There are three possible cases in which 3 $ 2 # 1 = 5. Here are two such cases:
Case a: $ represents +, and # represents ÷. We get 3 + 2 ÷ 1 = 5, which works. In this case, the answer to the target question is 1 $ 1 # 1 = 1 + 1 ÷ 1 = 2
Case b: $ represents x, and # represents -. We get 3 x 2 - 1 = 5, which works. In this case, the answer to the target question is 1 $ 1 # 1 = 1 x 1 - 1 = 0
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Bot
Re: The symbols $ and # each represent one of the following operations:   [#permalink] 07 Aug 2019, 08:51

The symbols $ and # each represent one of the following operations:

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





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