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.
Which is greater 358-2(x+y) or 180-(x+y)
[#permalink]
29 Jan 2020, 09:54
29 Jan 2020, 09:54
1
Expert Reply
8
Bookmarks
00:00
Question Stats:
44% (01:40) correct
55% (01:21) wrong based on 108 sessions
Hide Show timer Statistics
Attachment:
#greprepclub Which is greater 358-2(x+y) or 180-(x+y).jpg [ 10.27 KiB | Viewed 5254 times ]
Quantity A |
Quantity B |
\(358-2(x+y)\) |
\(180-(x+y)\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
GRE Instructor
Joined: 19 Jan 2020
Status:Entrepreneur | GMAT, GRE, CAT, SAT, ACT coach & mentor | Founder @CUBIX | Edu-consulting | Content creator
Posts: 117
Given Kudos: 0
GPA: 3.72
Re: Which is greater 358-2(x+y) or 180-(x+y)
[#permalink]
29 Jan 2020, 11:12
29 Jan 2020, 11:12
2
Carcass wrote:
Attachment:
#greprepclub Which is greater 358-2(x+y) or 180-(x+y).jpg
Quantity A |
Quantity B |
\(358-2(x+y)\) |
\(180-(x+y)\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
We know that: \(x + y < 180\) (since sum of all 3 angles of a triangle equals \(180^o\))
Quantity A: \(358-2(x+y)\)
Quantity B: \(180-(x+y)\)
We need to compare:
\(358-2(x+y)\) VS \(180-(x+y)\)
Adding \(2(x + y)\) to both sides:
\(358\) VS \(180 + (x+y)\)
Since \((x+y) < 180\), we have: \(180 + (x+y) < 180 + 180 = 360\)
Thus, we need to compare:
358 VS Quantity less than 360
# Quantity B here could be 359 => Quantity B is greater than Quantity A
# Quantity B here could be 358 => Quantity B is equal to Quantity A
# Quantity B here could be 357 => Quantity B is smaller than Quantity A
Thus, there is no relation
Answer D
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which is greater 358-2(x+y) or 180-(x+y)
[#permalink]
29 Jan 2020, 11:30
29 Jan 2020, 11:30
1
1
Bookmarks
Carcass wrote:
Attachment:
#greprepclub Which is greater 358-2(x+y) or 180-(x+y).jpg
Quantity A |
Quantity B |
\(358-2(x+y)\) |
\(180-(x+y)\) |
Let's start by tidying up our two quantities.
Given:
Quantity A: \(358-2(x+y)\)
Quantity B: \(180-(x+y)\)
Expand and simplify both quantities to get:
Quantity A: \(358-2x-2y\)
Quantity B: \(180-x-y\)
Add 2x, and add 2y to both quantities to get:
Quantity A: \(358\)
Quantity B: \(180+x+y\)
Subtract 180 from both quantities to get
Quantity A: \(178\)
Quantity B: \(x+y\)
From here we need only recognize that it COULD be the case that x = 89°, y = 89° (and the missing angle is 2°), in which case the two quantities are equal
Or it COULD be the case that x = 80°, y = 80° (and the missing angle is 20°), in which case Quantity A is greater
Answer: D
Cheers,
Brent
