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The symbol ▽ represents one of the following operations: addition, sub

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The symbol ▽ represents one of the following operations: addition, sub [#permalink]

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The symbol ▽ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4▽3 ?

(1) 2▽2 = 4
(2) 2▽0 = 2
[Reveal] Spoiler: OA

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Re: The symbol ▽ represents one of the following operations: addition, sub [#permalink]

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New post 10 Dec 2017, 23:32
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Bunuel wrote:
The symbol ▽ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4▽3 ?

(1) 2▽2 = 4
(2) 2▽0 = 2


Check other Symbols Representing Arithmetic Operation questions in our Special Questions Directory.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: The symbol ▽ represents one of the following operations: addition, sub [#permalink]

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Bunuel wrote:
The symbol ▽ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4▽3 ?

(1) 2▽2 = 4
(2) 2▽0 = 2



(1) 2▽2 = 4
We know that 2+2 = 4 and 2*2 = 4, but 2-2 Or 2/2 do not give us 4. So ▽ represents either addition or multiplication. If ▽ is addition, then 4▽3 = 7 and if ▽ is multiplication, then 4▽3 = 12. So cant say. Insufficient.

(2) 2▽0 = 2
Now, 2+0 =2, 2-0 = 2, but 2*0 Or 2/0 do not give us 2. So ▽ represents either addition or subtraction. If ▽ is addition, then 4▽3 = 7 and if ▽ is subtraction, then 4▽3 = 1. So cant say. Insufficient.

Combining the two statements, first says 4▽3 is either 7 or 12, while second says that 4▽3 is either 7 or 1. Since 7 is only common, we know that 4▽3 is surely 7. Sufficient.

Hence C answer
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The symbol ▽ represents one of the following operations: addition, sub [#permalink]

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New post 19 Dec 2017, 22:21
Bunuel wrote:
The symbol ▽ represents one of the following operations: addition, subtraction, multiplication, or division. What is the value of 4▽3?

(1) 2▽2 = 4
(2) 2▽0 = 2



Statement (1) - 2▽2 = 4

Let's go ahead and try all the operations mentioned

1) 2 + 2 = 4 --> Sufficient
2) 2 - 2 = 0 --> Not Sufficient
3) 2 x 2 = 4 --> Sufficient
4) 2 / 2 = 1 --> Not sufficient

From the above we see that the operations of Addition and Multiplication satisfy the statement 2▽2 = 4

So, let us try it on 4▽3

1) 4 + 3 = 7
2) 4 x 3 = 12

Both give contradictory Information and are not sufficient

Negate A, D


Statement (2) - 2▽0 = 2

Let's go ahead and try all the operations mentioned

1) 2 + 0 = 2 --> Sufficient
2) 2 - 0 = 2 --> Sufficient
3) 2 x 0 = 0 --> Not Sufficient
4) 2 / 0 = Not Defined --> Not sufficient

From the above we see that the operations of Addition and Subtraction satisfy the statement 2▽0 = 2

So, let us try it on 4▽3

1) 4 + 3 = 7
2) 4 - 3 = 1

Both give contradictory Information and are not sufficient

Negate B

Both Statements together

Looking at both statements we see that we are getting a common answer when the operator is addition

4 + 3 = 7

Since we have one single common answer, and no ambiguity, Both statements together are sufficient.

Negate E

Answer C
The symbol ▽ represents one of the following operations: addition, sub   [#permalink] 19 Dec 2017, 22:21
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