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D01-34

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Re: D01-34  [#permalink]

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New post 27 Nov 2017, 05:19
Bunuel wrote:
Official Solution:

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

Statement 1: If \(|x| = y = 10\), \(y\) is 10 but \(x\) could be -10 or 10. The area is same for \(x = 10\) and \(x = -10\). This is sufficient to answer the question.

Statement 2: If \(x = |y| = 10\), \(x = 10\) but \(y\) could be 10 or -10 but different value of \(y\) does not affect the area of the triangle. This statement is also sufficient to answer the question.


Answer: D


Hi ,
If I use the formula |( ax(by-cy)+bx(cy-ay)+cx(ay-by) )/2 | , then I don't need Bx for finding the area. This makes statement 1 irrelevant. I just need Y. From statement 2 , I get Y = +/- 10 and since I m taking a mod at the end +/- has no impact. So cant I just say statement 2 just suffices to answer this?
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Re: D01-34  [#permalink]

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New post 27 Nov 2017, 06:16
HariharanIyeer0 wrote:
Bunuel wrote:
Official Solution:

If vertices of a triangle are A (5, 0), B (x, y) and C (25, 0), what is the area of the triangle?

Statement 1: If \(|x| = y = 10\), \(y\) is 10 but \(x\) could be -10 or 10. The area is same for \(x = 10\) and \(x = -10\). This is sufficient to answer the question.

Statement 2: If \(x = |y| = 10\), \(x = 10\) but \(y\) could be 10 or -10 but different value of \(y\) does not affect the area of the triangle. This statement is also sufficient to answer the question.


Answer: D


Hi ,
If I use the formula |( ax(by-cy)+bx(cy-ay)+cx(ay-by) )/2 | , then I don't need Bx for finding the area. This makes statement 1 irrelevant. I just need Y. From statement 2 , I get Y = +/- 10 and since I m taking a mod at the end +/- has no impact. So cant I just say statement 2 just suffices to answer this?


What's your point? The correct answer to this question is D, which means that EACH statement ALONE is sufficient to answer the question asked.
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Re D01-34  [#permalink]

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New post 17 Dec 2017, 01:47
I think this is a high-quality question and I agree with explanation. loved the concept!!
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Re D01-34  [#permalink]

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New post 18 Dec 2017, 07:17
I think this is a high-quality question. loved it.
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New post 18 Feb 2018, 10:18
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. It is not clear in the explanation why the area is the same
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Re: D01-34  [#permalink]

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New post 28 Sep 2018, 07:05
Hi Brunuel,

I agree with your explanation. But let me put my version.

For statement 1, if i take (10,10) as B, i get distance from A as ~6 & from B as ~ 18.
if i take as (-10,10) as B, i get distance from A as ~18 & from B as ~36.
Heron's formula gives different answers for these values. So i believe 1 is not sufficient. However i am confused as your explanation also sounds good. Kindly explain
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New post 28 Sep 2018, 09:02
duttvelagapudi wrote:
Hi Brunuel,

I agree with your explanation. But let me put my version.

For statement 1, if i take (10,10) as B, i get distance from A as ~6 & from B as ~ 18.
if i take as (-10,10) as B, i get distance from A as ~18 & from B as ~36.
Heron's formula gives different answers for these values. So i believe 1 is not sufficient. However i am confused as your explanation also sounds good. Kindly explain


I think the following post should help: https://gmatclub.com/forum/d01-183495.html#p1418464
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: D01-34 &nbs [#permalink] 28 Sep 2018, 09:02

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