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 →

The product of n consecutive integers equals P.

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members
by Gmat_mission » Sun May 05, 2019 11:06 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

The product of \(n\) consecutive integers equals \(P\). Which of the following is true for \(n \ge 2?\)

I. \(P\) is an even number
II. \(P\) is an odd number
III. \(P\) is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

[spoiler]OA=A[/spoiler]

Source: Magoosh
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members
Location: Grand Central / New York
Thanked: 470 times

by Jay@ManhattanReview » Sun May 05, 2019 11:56 pm
Gmat_mission wrote:The product of \(n\) consecutive integers equals \(P\). Which of the following is true for \(n \ge 2?\)

I. \(P\) is an even number
II. \(P\) is an odd number
III. \(P\) is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

[spoiler]OA=A[/spoiler]

Source: Magoosh
Since there are at least two integers (given that n ≥ 2), the product of n integers must be even (we have at least one 2 in P). So, Statement I is correct, therefore, Statement II is incorrect.

Statement III is not must be true. Let's take an example: Say, the n consecutive integers are -3, - 2 and - 1; thus, P = -6, not positive.

The correct answer: A

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GRE Manhattan | ACT Tutoring Houston | SAT Prep Courses Seattle | Charlotte IELTS Tutoring | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8154
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Thu May 09, 2019 5:11 pm
Gmat_mission wrote:The product of \(n\) consecutive integers equals \(P\). Which of the following is true for \(n \ge 2?\)

I. \(P\) is an even number
II. \(P\) is an odd number
III. \(P\) is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

[spoiler]OA=A[/spoiler]

Source: Magoosh

If P is the product of at least two consecutive integers, then at least 1 of the integers is even, and thus P must be even, so I is true. Furthermore, since P is even, it cannot be odd, so II is false. We also cannot say for sure whether P is positive. For example, if one of the integers is 0, then P = 0, which is not positive, so III is false.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8154
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Thu May 09, 2019 5:12 pm
Gmat_mission wrote:The product of \(n\) consecutive integers equals \(P\). Which of the following is true for \(n \ge 2?\)

I. \(P\) is an even number
II. \(P\) is an odd number
III. \(P\) is positive

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

[spoiler]OA=A[/spoiler]

Source: Magoosh

If P is the product of at least two consecutive integers, then at least 1 of the integers is even, and thus P must be even, so I is true. Furthermore, since P is even, it cannot be odd, so II is false. We also cannot say for sure whether P is positive. For example, if one of the integers is 0, then P = 0, which is not positive, so III is false.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1