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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

m is an even integer, and n is an odd integer. What is (-1)mn (-1)m-n {(-1)2m-1(3 + 2) - (-1)2n(3 - 2)}?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times
by Max@Math Revolution » Fri Jul 03, 2020 1:49 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

[GMAT math practice question]

m is an even integer, and n is an odd integer. What is (-1)^{mn} (-1)^{m-n} {(-1)^{2m-1}(3 + 2) - (-1)^{2n}(3 - 2)}?

A. 2
B. 4
C. 6
D. 8
E. 10
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members
Location: New Delhi, India
Thanked: 205 times

Re: m is an even integer, and n is an odd integer. What is (-1)mn (-1)m-n {(-1)2m-1(3 + 2) - (-1)2n(3 - 2)}?

by GMATinsight » Fri Jul 03, 2020 4:14 am
Max@Math Revolution wrote: ↑
Fri Jul 03, 2020 1:49 am
 [GMAT math practice question]

m is an even integer, and n is an odd integer. What is (-1)^{mn} (-1)^{m-n} {(-1)^{2m-1}(3 + 2) - (-1)^{2n}(3 - 2)}?

A. 2
B. 4
C. 6
D. 8
E. 10
(-1)^Even = +1
(-1)^odd = -1

m = even, n = odd
i.e m+n or m-n = Odd
and m*n = Even

(-1)^{mn} (-1)^{m-n} {(-1)^{2m-1}(3 + 2) - (-1)^{2n}(3 - 2)} = (+1)*(-1)*{(-1)*5 - (+1)*1} = 6

Answer: Option C

Subscribe to my YouTube Channel for FREE resource

To access most affordable and most comprehensive course on Any Topic please CLICK HERE. The course includes
- All Well Explained CONCEPT VIDEOS
- Upto 250 questions per topic
- Interactive Quizzes
- 24x7 Real time assistance
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times

Re: m is an even integer, and n is an odd integer. What is (-1)mn (-1)m-n {(-1)2m-1(3 + 2) - (-1)2n(3 - 2)}?

by Max@Math Revolution » Sun Jul 05, 2020 6:11 pm
=>

(-1)^mn (-1)^(m-n)(-1)^(2m-1)(3+2) -(-1)^2n(3-2)
= (-1)^(even·odd) (-1)^(even-odd) (-1)^(2·even-1)(5) - (-1)^(2·odd)(1)
= (-1)^even (-1)^odd (-1)^odd(5) - (-1)^even(1)
= 1·(-1)·(-1)·5 - 1·1
= 5 - 1
= 4.


Therefore, B is the correct answer.
Answer: B
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1