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The symbol represents which one of the following operations: additio

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Bunuel
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The symbol represents which one of the following operations: additio [#permalink] New post   02 Aug 2018, 23:49
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The symbol Δ represents which one of the following operations: addition, subtraction, or multiplication?


(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.


(DS08352)
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   03 Aug 2018, 02:35
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Bunuel wrote:
The symbol Δ represents which one of the following operations: addition, subtraction, or multiplication?


(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.


NEW question from GMAT® Quantitative Review 2019


(DS08352)


Question stem:-Type operation is to be unique.

St1:- aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
Only subtraction satisfy this condition.
Hence, sufficient.

St2:-Δ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.
Only subtraction satisfy this condition.
Hence, sufficient.

Ans. (D)
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   03 Aug 2018, 03:34
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(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
Addition, and multiplication would always be equal from same numbers, so it has to be subtraction
Sufficient

(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.
Addition, and multiplication would always be equal from same numbers, so it has to be subtraction
Sufficient

Hence, D.
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   18 Oct 2018, 08:47
Bunuel wrote:
The symbol Δ represents which one of the following operations: addition, subtraction, or multiplication?


(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.


NEW question from GMAT® Quantitative Review 2019


(DS08352)


Let a = 3, b = 2, c = 1

3 - (2-1) = 3 - 1 = 2

3 - (1 - 2) = 3 - (-1) = 4 only subtraction satisfies this.

Same concept can be applied to statement 2)

Answer choice D
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   11 Sep 2020, 23:41
In such questions, it is much easier to solve if you assign some numbers to variables a, b, and c.
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   16 Dec 2020, 07:47
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Bunuel wrote:
The symbol Δ represents which one of the following operations: addition, subtraction, or multiplication?


(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.


Addition and multiplication are always equal for the same numbers. But subtraction matters for parenthesis and order of numbers.

The answer of this question is \(D\)
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   16 Dec 2020, 20:20
MHIKER wrote:
Bunuel wrote:
The symbol Δ represents which one of the following operations: addition, subtraction, or multiplication?


(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.


Addition and multiplication are always equal for the same numbers. But subtraction matters for parenthesis and order of numbers.

The answer of this question is \(D\)


if we assume b, c as 0, then subtraction is also valid..!
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   17 Dec 2020, 01:37
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kris19 wrote:
MHIKER wrote:
Bunuel wrote:
The symbol Δ represents which one of the following operations: addition, subtraction, or multiplication?


(1) aΔ(bΔc) ≠ aΔ(cΔb) for some numbers a, b, and c.
(2) aΔ(bΔc) ≠ (aΔb)Δc for some numbers a, b, and c.


Addition and multiplication are always equal for the same numbers. But subtraction matters for parenthesis and order of numbers.

The answer of this question is \(D\)


if we assume b, c as 0, then subtraction is also valid..!


If you take b=c=0
Then
(1)aΔ(0-0)=aΔ(0Δ0) or a=a both sides are equal. Contradictory with the statements.

(2) Same as option 1.

But I'm confused with me. I think we take any digit for a,b & c including ZERO. Bunuel help needed.
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   09 Apr 2021, 14:17
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Oh wow, I must be seeing stars. I considered division as an operation.

Answer is D though.

Only subtration works.
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   09 Apr 2021, 20:41
I think the answer should be B.

This is because lets take two options for values of a,b,c - 1,2,2 & 5,4,2 respectively

Then, when we take 1,2,2 in statement A, LHS = RHS
But, when we take 5,4,2 as values in statement A, LHS does not equal RHS therefore, statement A is not suff

Whereas, in statement B, both these values result in the same answer when subtracting
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Re: The symbol represents which one of the following operations: additio [#permalink] New post   14 May 2022, 04:49
It's not mentioned anywhere that a,b and c need to be unique.
So statement 1 on Division if b=c.
And also on subtraction if b and c are both equal.

Confusing.

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Re: The symbol represents which one of the following operations: additio [#permalink] New post   16 May 2023, 07:17
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Re: The symbol represents which one of the following operations: additio [#permalink]
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