The symbol represents one of the following operations:

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The symbol represents one of the following operations: [#permalink]

01 Jul 2010, 00:52

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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

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Re: 1000 DS [#permalink]

01 Jul 2010, 01:22

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!
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Re: 1000 DS [#permalink]

08 Jul 2010, 00:48

Can we assume in every case that a v b = a -/+/* b

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Re: 1000 DS [#permalink]

08 Jul 2010, 01:34

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 "▽". :-D

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Re: 1000 DS [#permalink] 08 Jul 2010, 01:34

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The symbol represents one of the following operations:

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The symbol represents one of the following operations:

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