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In the figure to the right is b > a ? (Note: Figure not drawn to scale

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In the figure to the right is b > a ? (Note: Figure not drawn to scale [#permalink]

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New post 30 Mar 2016, 03:21
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In the figure to the right is b > a ? (Note: Figure not drawn to scale.) Image

(1) a = 35

(2) a < 60

[Reveal] Spoiler:
Attachment:
a-s-and-b-s.jpg
a-s-and-b-s.jpg [ 33.64 KiB | Viewed 1354 times ]
[Reveal] Spoiler: OA

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Re: In the figure to the right is b > a ? (Note: Figure not drawn to scale [#permalink]

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New post 30 Mar 2016, 08:47
St. 1 - If we know angle a, then we know 3a, and can determine the value of b. Therefore we have enough information to determine if b>a. Sufficient.

St. 2 - We know 3a+3b = 360. Reducing gives a+b=120.

If we set a=60, then b=60. But since a<60, for every degree we reduce in a, we will add the same amount to b. Therefore we know b is always larger than a. Sufficient.

Answer is D.

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Re: In the figure to the right is b > a ? (Note: Figure not drawn to scale [#permalink]

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New post 30 Mar 2016, 22:42
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

In the figure to the right is b > a ? (Note: Figure not drawn to scale.)

(1) a = 35

(2) a < 60


In the original condition, there are 2 variables and 1 equation(3a+3b=360, a+b=120), which should match with the number of equations. So you need 1 more equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), if a=35, b=85, which is yes and sufficient.
For 2), if a=120-b<60, 60<b, which is yes and sufficient.
Thus, the answer is D.


 For cases where we need 1 more equation, such as original conditions with“1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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Re: In the figure to the right is b > a ? (Note: Figure not drawn to scale [#permalink]

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New post 21 May 2017, 15:32
Bunuel wrote:
In the figure to the right is b > a ? (Note: Figure not drawn to scale.) Image

(1) a = 35

(2) a < 60

[Reveal] Spoiler:
Attachment:
a-s-and-b-s.jpg


Here, we should start by noting that 3a + 3b = 360. Simplified, we know that a + b = 120. Now we can find one angle in terms of the other.

1) Sufficient. a = 35 so 35 + b = 120. We can determine if a > b.

2) Sufficient. If a = 120-b, and a is less than 60, then we know that b must be greater than 60, and therefore b>a.

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Re: In the figure to the right is b > a ? (Note: Figure not drawn to scale [#permalink]

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New post 06 Sep 2017, 18:19
Bunuel wrote:
In the figure to the right is b > a ? (Note: Figure not drawn to scale.) Image

(1) a = 35

(2) a < 60

[Reveal] Spoiler:
Attachment:
a-s-and-b-s.jpg


This is really kind of like a min max problem, IMO.

3a + 3b =360

Statement 1

We can obviously solve for B

Statement 2

If B is 59 for example, then B must be larger than A in order to equal 360

D

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Re: In the figure to the right is b > a ? (Note: Figure not drawn to scale   [#permalink] 06 Sep 2017, 18:19
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