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
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
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
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.

130-point 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.

PS - Even & Odd

Expert replies
by Xbond » Sun Oct 04, 2009 7:44 am
Hi there,

Could you help me to resolve this PS and explain the step of resolution

k and t are integers and k²-t² is an odd integer, which of the following must be an even integer ?

I. k+t+2
II. k²+2kt+t²
III. k²+t²

a) None
b) I only
c) II only
d) III only
e) I,II and III
Join the discussion
Source: — Problem Solving |

by cbenk121 » Sun Oct 04, 2009 8:08 pm
Here's my solution:

First, you must find out whether k and t are odd or even. This problem is all about the results of performing operations on even and odd numbers.

Given that k^2 - t^2 is an odd number, then you know that k^2 is even, and t^2 is odd. Of course, it could be reverse, but it shouldn't matter because of commutative and associative laws.

So, you then know that k must be even, and t must be odd. Even * Even = Even, and Odd * Odd = Odd.

Now, just go through the statements:

1: Even + Odd + Even = Odd
2: Even*Even + Even*Even*Odd + Odd*Odd = Even + Even + Odd = Odd
3: Even + Odd = Odd

The answer then is None.

To double check, you could just pick numbers for k and t, say 3 and 2, and then quickly evaluate the three statements.
Join the discussion

by Xbond » Mon Oct 05, 2009 12:49 pm
thanks
OA is A
Join the discussion