BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

operation@

Expert replies
by CITI29 » Tue Jul 29, 2008 2:49 pm
for all the 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

what am I missing in this question? I thot the ans is 'e'...but its 'c'.Pls explain.
Join the discussion
Source: — Data Sufficiency |

Re: operation@

by rolodex » Tue Jul 29, 2008 10:28 pm
CITI29 wrote:for all the 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

what am I missing in this question? I thot the ans is 'e'...but its 'c'.Pls explain.
From S1: (t+2)^2 + (2+3)^2 = 74
t^2 + 4t -45 = 0;
t = -9 and t = 5 SO MAYBE CASE AD are out

Similarily solve for statemetn 2 and get the values for t. if there is a common value in S1 and S2 then C. IF not then E.
Join the discussion

by sibbineni » Wed Jul 30, 2008 3:58 pm
x@y=(x+2)^2 + (y+3)^2
S1: here
t@2 =74
x=t and y=2

(t+2)^2 + (2+3)^2 = 74
t^2 + 4t -45 = 0;
t = -9 and t = 5 (insuff)

S2: here
2@t =80

x=2 and y=t

t^2+6t-55=0

t=-11 or t=5 (Insuff)


Together

t=5 SO C should be the answer
Join the discussion

Re: operation@

by lunarpower » Wed Jul 30, 2008 11:57 pm
the math on the preceding posts appears to be quite correct, but, watch it with the following claim:
rolodex wrote:Similarily solve for statemetn 2 and get the values for t. if there is a common value in S1 and S2 then C. IF not then E.
wrong.

this is not how it works.

the two statements (1) and (2) will NEVER be inconsistent with each other. in other words, there will ALWAYS be at least one value of 't' that is common to the two statements.
if you don't get any common values - say, t = 1 or 2 for the first statement, and t = 3 or 4 for the second statement - then you have solved at least one of the statements incorrectly, and should redo the problem if you have the time.

the answer will be (e) if there is STILL MORE THAN ONE SOLUTION to the combination of the two statements (1) and (2). that's what "insufficient" means: there's still more than one possibility for the solution, despite all the information that's available.

summa veritas: (assuming that both individual statements have proved insufficient)
* combined statements yield more than 1 common value --> (e)
* combined statements yield exactly 1 common value --> (c)
* combined statements yield no common values --> you have egg on your face
Ron has been teaching various standardized tests for 20 years.

--

Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi

--

Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.

Yves Saint-Laurent

--

Learn more about ron
Join the discussion