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655-705 (Hard)|   Geometry|      
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Bunuel
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In the figure above, what is the value of b? 03 Jan 2016, 11:46
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Difficulty:

55% (hard)

Question Stats:

57% (01:46) correct 43% (01:42) wrong based on 246 sessions

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In the figure above, what is the value of b?

(1) a + c + d = 225
(2) d – a = 55

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2016-01-03_2244.png
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B
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In the figure above, what is the value of b? 05 Jan 2016, 19:04
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[quote="Bunuel"]
In the figure above, what is the value of b?

(1) a + c + d = 225
c+d=180
d=45
c=135
insufficient

(2) -(d – a = 55)
c+d=180
a+c=125

180-125=55
sufficient

Answer:B
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In the figure above, what is the value of b? 24 Jan 2016, 11:40
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St 1:
a+c+d= 225
a+180 = 225
a= 45

Insufficient

St 2:
d- a = 55
a+b = d
b= d-a
b=55

Sufficient

Ans:B
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In the figure above, what is the value of b? 23 Feb 2016, 19:28
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Bunuel

In the figure above, what is the value of b?

(1) a + c + d = 225
(2) d – a = 55

Show Spoiler
Attachment:
2016-01-03_2244.png
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we know a+b+c=180
b+d=180

1 - a+180=225 -> we can find a, but not b.
2 - d=55+a
d=180-c
55+a=180-c
c=180-55-a
c=125-a

now:
a+b+125-a=180
b+125=180
b=55

statement 2 alone is sufficient
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In the figure above, what is the value of b? 20 Dec 2018, 05:23
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Question In the figure above, what is the value of b?

Statement (1): a + c + d = 225
-> c+d = 180
-> a = 225- 180 = 45.

But we can't calculate he value of b..
as b = 180-a -c
NOT SUFFICIENT

Statement (2): d – a = 55
a + b = d
So, d-a = b = 55
SUFFICIENT
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In the figure above, what is the value of b? 02 Oct 2020, 03:07
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