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

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Math Expert
Joined: 02 Sep 2009
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Is a > 85? (1) b > 75 (2) c > 95  [#permalink]

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21 Feb 2018, 21:51
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Difficulty:

25% (medium)

Question Stats:

71% (01:09) correct 29% (01:07) wrong based on 145 sessions

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(NOTE: not drawn to scale)

Is a > 85?

(1) b > 75

(2) c > 95

Attachment:

angles.png [ 5.63 KiB | Viewed 1225 times ]

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

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21 Feb 2018, 23:07
1
Bunuel wrote:

(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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22 Feb 2018, 14:10
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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22 Feb 2018, 21:20
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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23 Feb 2018, 00:04
Bunuel wrote:

(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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23 Feb 2018, 00:21
Bunuel wrote:

(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  [#permalink]

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15 Jan 2019, 09:14
Is a > 85?

(1) b > 75
For statement 1 lets assume b>75 then some of a+c must be smaller than <105 in this senario a can be greater than 85 or can't be
Insufficient
(2) c > 95
For this C>95 , some of other side of triangle a+b <85 so surely a must be less than 85
Sufficient

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Re: Is a > 85? (1) b > 75 (2) c > 95   [#permalink] 15 Jan 2019, 09:14
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