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 →

For the equation 3 - 2 [ x ] = 3 [ x ] - 12, x satisfies p â

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 Nov 29, 2019 12:16 am
[GMAT math practice question]

For the equation 3 - 2 [ x ] = 3 [ x ] - 12, x satisfies p ≤ x < q. What is the value of p + q? ( [ x ] denotes the greatest integer less than or equal to x.)

A. 6
B. 7
C. 8
D. 9
E. 10
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Sat Nov 30, 2019 12:54 pm
3 - 2 (x) = 3 (x) -12
3 + 12 = 3x + 2x
15 = 5x
x =15/5 = 3
$$Given\ that\ p\le x<q\ =\ p\le3<q$$
p can be 3, 2, 1, 0, -1, ---, infinix
Therefore, the maximum value of p = 3
q can be 4, 5, 6, 7, 8, ---, infinix
Hence, the maximum value of q = 4
$$Therefore,3\le3<4$$
Tthe value if p+q = 3+4 = 7

Answer = option B
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

by Max@Math Revolution » Sun Dec 01, 2019 7:42 pm
=>

Since [ x] is the greatest integer less than or equal to x, if we have n ≤ x < n + 1, where n is an integer, we define [x] = n.

3 - 2[ x ] = 3[ x ] - 12
=> 15 = 5[ x ]
=> [ x ] = 3
=> 3 ≤ x < 4
Then we have p = 3 and q = 4.
So p + q = 7.

Therefore, B is the 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