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 →

What is the value of y?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2058
Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members
Thanked: 1 times
by M7MBA » Thu Jun 14, 2018 11:11 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

What is the value of y?

(1) 3|x^2 - 4| = y - 2
(2) |3 - y| = 11

The OA is the option C.

I don't see how can I find the value of y using both statements. May anyone gives me some help? Please. <i class="em em-neutral_face"></i>
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members
Thanked: 6 times

by Vincen » Fri Jun 15, 2018 12:02 am
Hello M7MBA.

Let's take a look at your question.

We have to find the value of y.

First Statement
(1) 3|x^2 - 4| = y - 2
Here we have the following equations: $$3\left(x^2-4\right)=y-2\ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ 3\left(4-x^2\right)=y-2$$ $$3x^2-12=y-2\ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ 12-3x^2=y-2$$ $$3x^2-10=y\ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ 14-3x^2=y$$ So, we couldn't get a the value for y. Therefore, this statement is not sufficient.

First Statement
(2) |3 - y| = 11
Now, we have the following equations: $$3-y=11\ \ \ \ \ \ or\ \ \ \ \ \ \ 3-y=-11$$ $$y=-8\ \ \ \ \ \ or\ \ \ \ \ \ \ y=14.$$ Since we got two different values for y, then this statement is not sufficient.

First Statement + Second Statement
(1) 3|x^2 - 4| = y - 2
(2) |3 - y| = 11
First, we know from the second statement that y=-8 or y=14. Now, from the first statement we can conclude that y-2 is positive, and then y must be greater than 2, which implies that y=14.

Therefore, using both statements together is sufficient.

The correct answer is the option C.

I hope it helps.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1