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# If the operation # is one of the four arithmetic operations

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Director
Joined: 03 Sep 2006
Posts: 777
If the operation # is one of the four arithmetic operations  [#permalink]

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10 May 2010, 08:32
13
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:22) correct 38% (01:21) wrong based on 486 sessions

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If the operation # is one of the four arithmetic operations- addition, subtraction, multiplication and division. Is (6#2)#4= 6#(2#4)

(1) 3#2 > 3

(2) 3#1 = 3

Attachments

DS3.PNG [ 7.48 KiB | Viewed 5756 times ]

Math Expert
Joined: 02 Sep 2009
Posts: 53067

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10 May 2010, 12:58
If the operation # is one of the four arithmetic operations- addition, subtraction, multiplication and division. Is (6#2)#4= 6#(2#4)

(1) 3#2 > 3, # can be either multiplication or addition in BOTH cases (6#2)#4 = 6#(2#4) is true: (6*2)*4=6*(2*4)=48 and (6+2)+4=6+(2+4)=12. Sufficient.

(2) 3#1 = 3, # can be either multiplication or division. If it's division the the answer to the question is No and if it's multiplication answer to the question is YES. Two different answers. Not sufficient.

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Intern
Joined: 05 Jan 2012
Posts: 4
Location: United States

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05 Jan 2012, 11:03
Hi, everyone, I am new to the forum. After reading the "read this first" posts, I didn't find the post format template so I am just following my lab report format. If it is too off, please let me know!

Question:
If ° represents one of the operations +, –, and ×, is (6 ° 2) ° 4 = 6 ° (2 ° 4) ?
(1) 3 ° 2 > 3
(2) 3 ° 1 = 3

My logic:
For (1) alone, ° can either be + or *. For either case, the equation stands. Therefore, (1) is sufficient.

For (2) alone, ° must be *. In that case, the equation stands as well. Therefore, (2) is sufficient as well.

Thus, each statement alone is sufficient.

Yet, the answer key is telling me A is the right now. I am confused.

Attachments

Symbol.png [ 41.47 KiB | Viewed 5263 times ]

Senior Manager
Joined: 30 Aug 2009
Posts: 269
Location: India
Concentration: General Management
Re: Newbie: Determine Arithmetic Operation  [#permalink]

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05 Jan 2012, 11:37
1
alwaystravel wrote:
Hi, everyone, I am new to the forum. After reading the "read this first" posts, I didn't find the post format template so I am just following my lab report format. If it is too off, please let me know!

Question:
If ° represents one of the operations +, –, and ×, is (6 ° 2) ° 4 = 6 ° (2 ° 4) ?
(1) 3 ° 2 > 3
(2) 3 ° 1 = 3

My logic:
For (1) alone, ° can either be + or *. For either case, the equation stands. Therefore, (1) is sufficient.

For (2) alone, ° must be *. In that case, the equation stands as well. Therefore, (2) is sufficient as well.

Thus, each statement alone is sufficient.

Yet, the answer key is telling me A is the right now. I am confused.

If you are referring to question in the screenshot then you missed division (not mentioned in the typed question) which is true for statement 2 and hence insuff

if division was not mentioned then 2 would be suff as well....
Intern
Joined: 05 Jan 2012
Posts: 4
Location: United States
Re: Newbie: Determine Arithmetic Operation  [#permalink]

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05 Jan 2012, 12:48
Wow, and I wonder why I can't get it right? Thanks so much!
Non-Human User
Joined: 09 Sep 2013
Posts: 9894
Re: If the operation # is one of the four arithmetic operations  [#permalink]

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04 Oct 2018, 04:54
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the operation # is one of the four arithmetic operations   [#permalink] 04 Oct 2018, 04:54
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