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Is a > 85? (1) b > 75 (2) c > 95

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Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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New post 21 Feb 2018, 20:51
2
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:07) correct 30% (01:13) wrong based on 82 sessions

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Director
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Re: Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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New post 21 Feb 2018, 22:07
1
Bunuel wrote:
Image
(NOTE: not drawn to scale)

Is a > 85?

(1) b > 75

(2) c > 95

Attachment:
angles.png


(1) b > 75

We know that a+b+c = 180, b>75 ==> a+c > 105

Not Suff

(2) c > 95

We know that a+b+c = 180, c>95 ==> a+b > 85

So a cannot be greater than 85

Suff

Hence B
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Re: Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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New post 22 Feb 2018, 13:10
from the question info: a+b+c = 180 (sum of all angles in a triangle = 180)

st 1

b >75 => a+c <= 105 => not sufficient to answer a > 85


st 2

c > 95 => a+b <= 85 => sufficient to answer that a < 85 , hence IMO - B
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Re: Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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New post 22 Feb 2018, 20:20
we know that a+b+c = 180
1. b > 75, which means a+c <=105 , but we do not know how much is the value of a. Insufficient.
2. c > 95, which gives us a+b <=85. This tells us that a cannot be greater than 85. Sufficient.

Ans: B
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Re: Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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New post 22 Feb 2018, 23:04
Bunuel wrote:
Image
(NOTE: not drawn to scale)

Is a > 85?

(1) b > 75

(2) c > 95

Attachment:
angles.png

IMO B sum of any triangle is 180 and according to first statement b>75 can be 80 or can be 100 if its 80 then a can be 85 but if 100 then it can't be greater than 85 so insufficient
In statement 2 things changed we know c >95 then can be minimum 96 the sum of other 2 angles is 84. if sum of both of them is 84 the how can a single angle is greater then 85 so B is sufficient.
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Re: Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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New post 22 Feb 2018, 23:21
Bunuel wrote:
Image
(NOTE: not drawn to scale)

Is a > 85?

(1) b > 75

(2) c > 95

Attachment:
angles.png



is a > 85
using 1
b > 75 a can be greater than 85 or even less than

insufficient


using 2

c>95

as we know sum of angles in triangle are 180

95+85 = 180 so a can't be >85

sufficient

(B) imo
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Re: Is a > 85? (1) b > 75 (2) c > 95 &nbs [#permalink] 22 Feb 2018, 23:21
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