GMAT Prep
Robots X, Y, and Z each assemble components at their respective constant rates. If \(r(x)\) is the ratio of robot X's constant rate to robot Z's constant rate and \(r(y)\) is the ratio of robot Y's constant rate to robot Z's constant rate, is robot Z's constant rate the greatest of the three?
1) \(r_x < r_y\)
2) \(r_y < 1\)
OA C
Robots X, Y, and Z each assembled components at their
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Let X = X's rate, Y = Y's rate, and Z = Z's rate.AAPL wrote:GMAT Prep
Robots X, Y, and Z each assemble components at their respective constant rates. If \(r(x)\) is the ratio of robot X's constant rate to robot Z's constant rate and \(r(y)\) is the ratio of robot Y's constant rate to robot Z's constant rate, is robot Z's constant rate the greatest of the three?
1) \(r_x < r_y\)
2) \(r_y < 1\)
r(x) = the ratio of X's rate to Z's rate = X/Z.
r(y) = the ratio of Y's rate to Z's rate = Y/Z.
Note:
X, Y and Z all represent rates and thus must be POSITIVE.
Statement 1: r(x) < r(y)
In other words:
X/Z < Y/Z.
Since Z>0, we can multiply each side by Z:
(X/Z) * Z < (Y/Z) * Z
X < Y.
No way to determine whether Z is the greatest of the 3 rates.
INSUFFICIENT.
Statement 2: r(y) < 1
In other words:
Y/Z < 1.
Since Z>0, we can multiply each side by Z:
(Y/Z) * Z < 1 * Z
Y < Z.
No way to determine whether Z is the greatest of the 3 rates.
INSUFFICIENT.
Statements combined:
Since X < Y and Y < Z, we get:
X < Y < Z
Thus, Z is the greatest of the 3 rates.
SUFFICIENT.
The correct answer is C.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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