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# The symbol represents one of the following operations:

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Senior Manager
Joined: 19 Nov 2009
Posts: 328
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The symbol represents one of the following operations: [#permalink]  30 Jun 2010, 23:52
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Difficulty:

(N/A)

Question Stats:

67% (01:28) correct 33% (00:26) wrong based on 24 sessions
The symbol ▽ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 3 ▽ 2?
(1) 0▽1 = 1
(2) 1▽0 = 1

OA is
[Reveal] Spoiler:
A
Kaplan GMAT Instructor
Joined: 21 Jun 2010
Posts: 148
Location: Toronto
Followers: 38

Kudos [?]: 133 [0], given: 0

Re: 1000 DS [#permalink]  01 Jul 2010, 00:22
nsp007 wrote:
The symbol ▽ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 3 ▽ 2?
(1) 0▽1 = 1
(2) 1▽0 = 1

Since 3 ▽ 2 will have a different value for each of the 4 operations, we need to know which operation ▽ represents to answer the question.

(1) 0▽1 = 1

$$0*1 = 0$$
$$0+1 = 1$$
$$0 / 1 = 0$$
$$0-1 = -1$$

Since only addition makes (1) true, "▽" must represent addition: sufficient (eliminate B, C, E).

(2) 1▽0 = 1

$$1*0 = 0$$
$$1+0 = 1$$
$$1/0 = undefined$$
$$1-0 = 1$$

Both addition and subtraction make (2) true. Accordingly, "▽" could represent either addition or subtraction. Since:

$$3-2$$

and

$$3+2$$

don't have the same value, (2) is insufficient (eliminate D).

Choose A!
_________________

Stuart Kovinsky
stuart.kovinsky@kaplan.com
Toronto Office
1-800-KAP-TEST
http://www.kaptest.com/GMAT

Prepare with Kaplan and save $150 on a course! Kaplan Reviews Intern Joined: 17 May 2010 Posts: 19 Followers: 0 Kudos [?]: 4 [0], given: 0 Re: 1000 DS [#permalink] 07 Jul 2010, 23:48 Can we assume in every case that a v b = a -/+/* b Kaplan GMAT Instructor Joined: 21 Jun 2010 Posts: 148 Location: Toronto Followers: 38 Kudos [?]: 133 [0], given: 0 Re: 1000 DS [#permalink] 08 Jul 2010, 00:34 hothihongcam wrote: Can we assume in every case that a v b = a -/+/* b No - the ▽ operation is one that's made up for this question - it's not a "real" mathematical term. On the GMAT, we sometimes see symbolism questions (which are really just another form of function questions) - when those definitions appear on a question, they're only for the purpose of that particular question. Don't worry, you didn't sleep through the class in high school in which your teacher covered "▽". _________________ Stuart Kovinsky stuart.kovinsky@kaplan.com Kaplan Test Prep & Admissions Toronto Office 1-800-KAP-TEST http://www.kaptest.com/GMAT Prepare with Kaplan and save$150 on a course!

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Re: 1000 DS   [#permalink] 08 Jul 2010, 00:34
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