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What is a + b + c + d?
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31 May 2021, 04:19
31 May 2021, 04:19
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66% (02:13) correct
33% (02:04) wrong based on 27 sessions
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What is a + b + c + d?
A. 110
B. 120
C. 130
D. 150
E. Cannot be determined from the information above
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
What is a + b + c + d?
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31 May 2021, 05:02
31 May 2021, 05:02
4
Carcass wrote:
What is a + b + c + d?
A. 110
B. 120
C. 130
D. 150
E. Cannot be determined from the information above
I can see some triangles that include the necessary angles (a, b, c and d)
So, let's add some extra angles, x and y:
Since x, 30 and y are on a line, we know that x + y + 30 = 180
This means that x + y = 150
Now let's examine some hidden triangles. Here's one:
Since angles in a triangle add to 180 degrees, we can write: a + c + x + 30 = 180
Subtract 30 from both sides to get: a + c + x = 150
Here's another hidden triangle
Since angles in a triangle add to 180 degrees, we can write: b + d + y + 30 = 180
Subtract 30 from both sides to get: b + d + y = 150
We now have two equations:
a + c + x = 150
b + d + y = 150
ADD them to get: a + b + c + d + x + y = 300
Since x + y = 150, we can write: a + b + c + d + 150 = 300
Subtract 150 from both sides to get: a + b + c + d = 150
Answer: D
Cheers,
Brent
General Discussion
Re: What is a + b + c + d?
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12 Nov 2022, 00:14
12 Nov 2022, 00:14
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
