Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
02 Feb 2022, 06:16
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
88% (02:11) correct
12%
(01:39)
wrong
based on 25
sessions
History
Date
Time
Result
Not Attempted Yet
The symbols \(\&\) and \(\#\) each denote one of the four arithmetic operations: addition, subtraction, multiplication and division. If the symbols denote different arithmetic operations such that and \(a\&b\#c = c\#b\&a\), where \(a\), \(b\) and \(c\) are distinct positive integers, what is the value of \(4\&5\#4\)?
A. -24
B.-16
C. 16
D. 24
E. 26
A. -24
B.-16
C. 16
D. 24
E. 26
02 Feb 2022, 06:40
Kudos
Bookmarks
Bunuel
such that and \(a\&b\#c = c\#b\&a\), where \(a\), \(b\) and \(c\) are distinct positive integers, what is the value of \(4\&5\#4\)?
There's an issue with the wording of the question. On the GMAT, if a question tells you "a, b and c are distinct positive integers", the question means "a, b and c are different fixed positive integers, and we're just not telling you exactly what they're equal to". But if that's what this question means, then there are several possibilities for the operations "&" and "#". For example, "&" can be subtraction, and "#" can be multiplication, if a = 6, b = 3 and c = 2. Then we get 6 - 3*2 = 2*3 - 6, which is true, and then 4&5#4 = 4 - 5*4 = -16.
But I think the question means to say that the relationship a&b#c = c#b&a is true for any three distinct positive integers a, b and c. Then the operations can't be division or subtraction, because those operations aren't reversible. It can only be that & and # represent addition and multiplication, in one order or the other. Then 4&5#4 = 4*5 + 4 or 4 + 5*4, and either way the answer is 24.
Moderator:
