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.
Two triangles, which is greater: x or y
[#permalink]
30 Nov 2018, 17:08
30 Nov 2018, 17:08
Expert Reply
00:00
Question Stats:
87% (00:52) correct
12% (00:53) wrong based on 85 sessions
Hide Show timer Statistics
Attachment:
GRE exam - Two triangles, which is greater x or y.jpg [ 12.77 KiB | Viewed 5235 times ]
Quantity A |
Quantity B |
x |
y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Two triangles, which is greater: x or y
[#permalink]
11 Jan 2019, 17:20
11 Jan 2019, 17:20
A: 25-13=12
B:25-11= 14
Hence B.
B:25-11= 14
Hence B.
Re: Two triangles, which is greater: x or y
[#permalink]
11 Jan 2019, 21:05
11 Jan 2019, 21:05
1
Using Pythagoras theorem,
For the right-angled triangle that contains x
=> \(5^2 = (\sqrt{13})^2 + x^2\)
=> => \(x^2 = 5^2 - 13\)
=> \(x = \sqrt{12}\)
For the right-angled triangle that contains y
=> \(5^2 = (\sqrt{11})^2 + y^2\)
=> => \(y^2 = 5^2 - 11\)
=> \(y = \sqrt{14}\)
Hence y is greater than x
For the right-angled triangle that contains x
=> \(5^2 = (\sqrt{13})^2 + x^2\)
=> => \(x^2 = 5^2 - 13\)
=> \(x = \sqrt{12}\)
For the right-angled triangle that contains y
=> \(5^2 = (\sqrt{11})^2 + y^2\)
=> => \(y^2 = 5^2 - 11\)
=> \(y = \sqrt{14}\)
Hence y is greater than x
