QUESTION: 165

If R is a root of the equation X2 +3X – 54, than which of the following equations have also the root R ?

X2 – 12X +27.
X2 – 6X – 16.
X2 – 10X – 31.25.
X2 – 15X + 54.
X2 + 10X + 16.

Answer(s): D

Explanation:

The original equation is X2 + 3X – 54, it can be written as (X – 6)(X + 9). The roots are 6 and (-9). We are looking for an equation that has one of the same roots.
Answer D: X2 – 15X +54 = (X – 6)(X – 9) This equation has the root 6. All the other answers have different roots than the original equation.

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QUESTION: 166

If P is a root of the equation X3 +10X2 + 16X, than which of the following equations have also the root P ?

X2 – 10X +16.
X + 8.
X2 +3X – 54.
X2 – 6X – 187.
X2 + 8X - 20.

Answer(s): B

Explanation:

The original equation is X3 +10X2 + 16X, it can be written as X(X + 8)(X + 2). The roots are (-8),0 and (-2). We are looking for an equation that has one of the same roots.
Answer B: X + 8 This equation has the root (-8).
All the other answers have different roots than the original equation.

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QUESTION: 167

If X is a root of the equation a3 +8a2 – 20a, than which of the following equations Don’t have the root X as one of their roots?

X3 + 4X2 – 32X.
X2 + 18X + 80.
X2 – 12X + 20.
X2 + 5X – 14.
X2 + 10X + 16.

Answer(s): E

Explanation:

The original equation is a3 +8a2 – 20a, it can be written as a(a – 2)(X + 10). The roots are 2,0 and (-10). We are looking for an equation that has none of the same roots.
Answer E: X2 – 10X +16 = (X + 2)(X + 8). This equation has none of the original roots. All the other answers have one or more of the same original roots.

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QUESTION: 168

(x, y) are the coordinates of the intersection of the following lines:
(3x – 2y = 8) and (3y + x = 10). What is the value of (x/y)?

Answer(s): B

Explanation:

There is no need to draw the lines. There are two equations with two variable that you have to solve. Take the second equation and multiply it by (-3) to get: -9y –3x = -30 add this equation to the first and You’ll get: -11y = -22 y=2 and x=4. (x/y) is 2.

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Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 42)

QUESTION: 165

Explanation:

QUESTION: 166

Explanation:

QUESTION: 167

Explanation:

QUESTION: 168

Explanation: