GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A survey wants to collect data specifically from students earn a score
[#permalink]
25 Feb 2022, 08:00
25 Feb 2022, 08:00
Expert Reply
1
Bookmarks
00:00
Question Stats:
76% (01:21) correct
23% (01:03) wrong based on 30 sessions
Hide Show timer Statistics
A survey wants to collect data specifically from students earn a score of T, which is between 145 and 165 in the quantitative section of the GRE. Which of the following inequalities can be used to express these search parameters?
(A) |T - 145| < 10
(B) |T + 155| < 10
(C) |T - 165| < 10
(D) |T + 155| > 10
(E) |T - 155| < 10
(A) |T - 145| < 10
(B) |T + 155| < 10
(C) |T - 165| < 10
(D) |T + 155| > 10
(E) |T - 155| < 10
Re: A survey wants to collect data specifically from students earn a score
[#permalink]
25 Feb 2022, 20:14
25 Feb 2022, 20:14
1
T is between 145 and 165 in the quantitative section of the GRE.
\(145 < T < 165\)
Subtract 155 from the inequality
\(145 - 155 < T - 155 < 165 - 155\)
\(-10 < T - 155 < 10\)
\(|T - 155| < 10\)
Answer \(E\)
\(145 < T < 165\)
Subtract 155 from the inequality
\(145 - 155 < T - 155 < 165 - 155\)
\(-10 < T - 155 < 10\)
\(|T - 155| < 10\)
Answer \(E\)
General Discussion
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1111
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: A survey wants to collect data specifically from students earn a score
[#permalink]
09 Dec 2023, 02:19
09 Dec 2023, 02:19
1
Score has to be between 145 and 165
Let's take each answer choice and check which one satisfies this equation
Theory:
|X| < A
=> -A < X < A
|X| > A
=> X < -A and X > A
(A) |T - 145| < 10
=> -10 < T - 145 < 10
=> -10 + 145 < T < 10 + 145
=> 135 < T < 155 => FALSE
(B) |T + 155| < 10
=> -10 < T + 155 < 10
=> -10 -155 < T < -155 + 10
=> -165 < T < -145 => FALSE
(C) |T - 165| < 10
=> -10 < T - 165 < 10
=> -10 + 165 < T < 165 + 10
=> 155 < T < 175 => FALSE
(D) |T + 155| > 10
We do not need to check this as this is > Inequality and will have a very broad range going towards negative and positive side
T + 155 < -10 and T + 155 > 10
=> T < -165 and T > -145 => FALSE
(E) |T - 155| < 10
=> -10 < T - 155 < 10
=> -10 + 155 < T < 155 + 10
=> 145 < T < 165 => TRUE
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
Let's take each answer choice and check which one satisfies this equation
Theory:
|X| < A
=> -A < X < A
|X| > A
=> X < -A and X > A
(A) |T - 145| < 10
=> -10 < T - 145 < 10
=> -10 + 145 < T < 10 + 145
=> 135 < T < 155 => FALSE
(B) |T + 155| < 10
=> -10 < T + 155 < 10
=> -10 -155 < T < -155 + 10
=> -165 < T < -145 => FALSE
(C) |T - 165| < 10
=> -10 < T - 165 < 10
=> -10 + 165 < T < 165 + 10
=> 155 < T < 175 => FALSE
(D) |T + 155| > 10
We do not need to check this as this is > Inequality and will have a very broad range going towards negative and positive side
T + 155 < -10 and T + 155 > 10
=> T < -165 and T > -145 => FALSE
(E) |T - 155| < 10
=> -10 < T - 155 < 10
=> -10 + 155 < T < 155 + 10
=> 145 < T < 165 => TRUE
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
