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GMAT Prep Geometry - Triangles within a triangle. Find X

Expert replies
Source: — Data Sufficiency |

by [email protected] » Sat Jul 25, 2015 9:55 am
Hi shannonalex,

This is one of the trickier, multi-shape geometry questions floating around the GMAC CATs - and most Test Takers get it wrong. Here's a link to a discussion on this question:

https://www.beatthegmat.com/find-x-t108228.html

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
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by GMATGuruNY » Sat Jul 25, 2015 11:59 am
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by Max@Math Revolution » Fri Jul 31, 2015 10:42 am
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 equations ensures a solution.

In original condition, angle X+angle SQP + angle SUP + angle P(90)=360. So we have 3 variables (X, SQP, SUP) and 1 equation. 2 more equations are needed.
So, the answer is C.

Why C? If you know our own innovative logics to find the answer, you don't need to solve the problem.
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Our world's first Variable Approach (DS) and IVY Approach (PS) help students dramatically reduce their time spent per question and improve accuracy. You will have 10 min. to spare before the test ends.
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by Max@Math Revolution » Sat Aug 01, 2015 4:29 am
From the original condition, angle x + angle SQP + angle SUP + angle P (90) = 360
We have 3 variables and we already have 1 equation above, so we need 2 additional equations, so the answer is C.
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by Max@Math Revolution » Thu Aug 20, 2015 9:39 am
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 equations ensures a solution.


In original condition, angle X+angle SQP + angle SUP + angle P(90)=360. We have 3 variables and 1 equation. 2 more equations are needed. (1) 1 equation, (2) 1 equation


So, the answer is C.


If you know our own innovative logics to find the answer, you don't need to actually solve the problem.

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