 It is currently 26 May 2019, 13:23 ### 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. # The expression x$y is defined as , where y ≠ 0. What is the  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014 Posts: 4857 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 112 Kudos [?]: 1865 , given: 397 The expression x$y is defined as , where y ≠ 0. What is the [#permalink]
Expert's post 00:00

Question Stats: 90% (00:27) correct 10% (04:02) wrong based on 10 sessions
The expression x$y is defined as $$\frac{x^2}{y}$$, where y ≠ 0. What is the value of 9$(6$2)? (A) $$\frac{1}{2}$$ (B) $$\frac{9}{4}$$ (C) $$\frac{9}{2}$$ (D) $$18$$ (E) $$108$$ [Reveal] Spoiler: OA _________________ Sandy If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test Manager  Joined: 06 Jun 2018 Posts: 94 Followers: 0 Kudos [?]: 59  , given: 0 Re: The expression x$y is defined as , where y ≠ 0. What is the [#permalink]
1
This post received
KUDOS
sandy wrote:
The expression x$y is defined as $$\frac{x^2}{y}$$, where y ≠ 0. What is the value of 9$(6$2)? (A) $$\frac{1}{2}$$ (B) $$\frac{9}{4}$$ (C) $$\frac{9}{2}$$ (D) $$18$$ (E) $$108$$ Phase 1: 6$2 = $$\frac{6^2}{2}$$

= 18

Phase 2:

9$18 = $$\frac{9^2}{18}$$ = 81 / 18 = 9/2 The best answer is C. GRE Prep Club Legend  Joined: 07 Jun 2014 Posts: 4857 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 112 Kudos [?]: 1865 , given: 397 Re: The expression x$y is defined as , where y ≠ 0. What is the [#permalink]
Expert's post
Explanation

This problem defines a function for the made-up symbol $. The order of operation rules (PEMDAS) stay the same even when the problem uses made-up symbols. First, calculate the value of the expression in parentheses, $$6\2$$. Plug x = 6 and y = 2 into the function: $$\frac{6^2}{2}=\frac{36}{2}=18$$. Replace $$6\2$$ with 18 in the original expression to give 9$18. Again, plug x = 9 and y = 18 into the function:

$$9\18=\frac{9^2}{18}=\frac{81}{18}=\frac{9}{2}$$.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Re: The expression x$y is defined as , where y ≠ 0. What is the [#permalink] 12 Aug 2018, 04:57 Display posts from previous: Sort by # The expression x$y is defined as , where y ≠ 0. What is the  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.