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.
GRE Math Challenge #140-y or 4x
[#permalink]
Updated on: 24 Jul 2020, 16:13
Updated on: 24 Jul 2020, 16:13
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
77% (00:50) correct
22% (01:15) wrong based on 169 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
y |
4x |
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
Show: ::
Attachment:
Quant9.jpg [ 8.96 KiB | Viewed 12068 times ]
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #140
[#permalink]
16 May 2015, 14:18
16 May 2015, 14:18
2
sandy wrote:
Quantity A: y
Quantity B: 4x
First find the value of x.
The lower triangle has 3 angles: x, 2x, 90
So, we know that x + 2x + 90 = 180
Simplify: 3x + 90 = 180
Simplify: 3x = 90
Solve: x = 30
This means the angle opposite x is also 30 degrees.
So, we know 2 of the 3 angles in the top triangle. They are 30 and 90 degrees.
30 + 90 = 120, so the 3rd angle in the top triangle = 60 degrees.
Since angles on a line add to 180 degrees, we know that y = 120 degrees
We get:
Quantity A: y = 120
Quantity B: 4x = (4)(30) = 120
Answer:
Show: ::
C
Cheers,
Brent
Re: GRE Math Challenge #140-y or 4x
[#permalink]
24 Aug 2020, 18:24
24 Aug 2020, 18:24
1
Here is one simple approach to the problem comparing y and 4x:
1. Recognize that the angle vertically opposite from x must also be x degrees.
2. Recognize that y is the exterior angle of the top triangle, meaning it equals the sum of the two further interior angles of the top triangle. Put differently, y = x + 90
3. Using matching operations, simplify y ? 4x --> x+90 ? 4x --> 90 ? 3x --> x ? 30 degrees
4. Compare x ? 30 by turning your attention to the lower triangle. There, we know that 90 + 2x + x = 180 degrees --> x = 30. The relationship b/w x and 30 is equal, so our answer is C.
I hope this helps!
1. Recognize that the angle vertically opposite from x must also be x degrees.
2. Recognize that y is the exterior angle of the top triangle, meaning it equals the sum of the two further interior angles of the top triangle. Put differently, y = x + 90
3. Using matching operations, simplify y ? 4x --> x+90 ? 4x --> 90 ? 3x --> x ? 30 degrees
4. Compare x ? 30 by turning your attention to the lower triangle. There, we know that 90 + 2x + x = 180 degrees --> x = 30. The relationship b/w x and 30 is equal, so our answer is C.
I hope this helps!
