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# The expression x$y is defined as , where y ≠ 0. What is the  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: GMAT Club Legend Joined: 07 Jun 2014 Posts: 4704 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 90 Kudos [?]: 1600 [0], given: 373 The expression x$y is defined as , where y ≠ 0. What is the [#permalink]  27 Jul 2018, 07:02
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Question Stats:

85% (00:22) correct 14% (04:02) wrong based on 7 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 [?]: 55 [1] , given: 0 Re: The expression x$y is defined as , where y ≠ 0. What is the [#permalink]  28 Jul 2018, 02:27
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sandy wrote:
The expression x$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. GMAT Club Legend Joined: 07 Jun 2014 Posts: 4704 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 90 Kudos [?]: 1600 [0], given: 373 Re: The expression x$y is defined as , where y ≠ 0. What is the [#permalink]  12 Aug 2018, 04:57
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
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