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# For all integers x and y, the operation is defined by x y =

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Intern
Joined: 18 Jul 2009
Posts: 27
For all integers x and y, the operation is defined by x y =  [#permalink]

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Updated on: 02 Nov 2009, 11:53
2
00:00

Difficulty:

65% (hard)

Question Stats:

60% (01:14) correct 40% (01:07) wrong based on 162 sessions

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For all integers x and y, the operation  is defined by xy = (x+2)^2 + (y+3)^2. What is the value of integer t?

(1) t  2 = 74
(2) 2  t = 80

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Originally posted by hrish88 on 02 Nov 2009, 11:13.
Last edited by hrish88 on 02 Nov 2009, 11:53, edited 1 time in total.
Manager
Joined: 12 Oct 2009
Posts: 95

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02 Nov 2009, 11:29
hrish88 wrote:
For all integers x and y, the operation  is defined by xy = (x+2)2 + (y+3)2. What is the
value of integer t?
(1) t  2 = 74
(2) 2  t = 80

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

if expression is for square then will go with D. both give t=5
Intern
Joined: 18 Jul 2009
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02 Nov 2009, 11:55
Yeah its a square.Already edited the post.
Math Expert
Joined: 02 Sep 2009
Posts: 58434
For all integers x and y, the operation is defined by x y =  [#permalink]

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02 Nov 2009, 12:38
2
1
For all integers x and y, the operation  is defined by xy = (x+2)^2 + (y+3)^2. What is the value of integer t?

(1) t  2 = 74 --> (t + 2)^2 + (2 + 3)^2 = 74 --> t^2 + 4t - 45 = 0 --> t = 5 OR t = -9. Two values for t. Not sufficient.

(2) 2  t = 80 --> (2 + 2)^2 + (t + 3)^2 = 80 --> t^2 +6t - 55 = 0 --> t = 5 OR t = -11. Two values for t. Not sufficient.

(1)+(2) t=5. Sufficient.

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Joined: 05 Mar 2008
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02 Nov 2009, 18:52
I'm getting C as well

No point of retyping a Bunuel said it best

both are squared but don't forget the parenthesis can be negative since the number will be squared
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Re: For all integers x and y, the operation is defined by x y =  [#permalink]

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28 Dec 2018, 21:41
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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: For all integers x and y, the operation is defined by x y =   [#permalink] 28 Dec 2018, 21:41
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