The symbol represents one of the following operations: : GMAT Data Sufficiency (DS)
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# The symbol represents one of the following operations:

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

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30 Jun 2010, 23:52
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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
[Reveal] Spoiler:
A
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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!
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07 Jul 2010, 23:48
Can we assume in every case that a v b = a -/+/* b
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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 "▽".
Re: 1000 DS   [#permalink] 08 Jul 2010, 00:34
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