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
Start free 5-day trial
Read 559 reviewsTarget Test Prep

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

The figure shows a number line. Point A is on 1, and point B is on 3, and ABCD is a rectangle with AD = 1. As the figu

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 » Mon May 18, 2020 12:43 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

[GMAT math practice question]

The figure shows a number line. Point A is on 1, and point B is on 3, and ABCD is a rectangle with AD = 1. As the figure shows, BD is a diagonal of ABCD and BD = BE. If x is the coordinate of point E, a is the integer part of x, and b is the decimal part of x, what is a - b/a + b?
5.18ps.png
A. 10 - 3 \(\sqrt{5}\) /2
B. 13 - 2 \(\sqrt{5}\) /3
C. 13 - 3 \(\sqrt{5}\) /3
D. 13 - 5 \(\sqrt{5}\) /2
E. 15 - 2 \(\sqrt{3}\)/ 5
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
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: The figure shows a number line. Point A is on 1, and point B is on 3, and ABCD is a rectangle with AD = 1. As the

by Max@Math Revolution » Wed May 20, 2020 3:00 am
=>

x, the coordinate of E is 3 + BD = 3 + √5.
Since we have 2 < √5 < 3, we have 5 < BD < 6 and a = 5, b = (3 + √5) – 5 = √5 - 2.
Thus, a-b/a+b
= 5 - ( √5 - 2)/5 + ( √5 - 2)
= 7 - √5/3 + √5 (adding like terms)
= (7 - √5)(3 - √5)/(3 + √5)(3 - √5)) (multiplying the numerator and denominator by the conjugate (3 - √5))
= 21 - 7 √5 - 3 √5 + 5/9 - 3 √5 + 3 √5 - 5
= 26 - 10 √5/4 (adding like terms)
= 13 - 5 √5/2 (dividing all terms by 2)

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