QUESTION: 169

A(a, b) is the coordinates of the intersection between the lines:
(x + y –1 = 0) and (4x – 2y = 5). What is the shortest distance between A(a, b) and the coordinate B(25/6, 23/6)?

Answer(s): E

Explanation:

There is no need to draw the two lines. Multiply equation (1) by 2 and then add the equations to get: 6x = 7 . x = 7/6, y = -1/6.
Draw a rectangular axis system and mark the point A and B.
Complete the two points to a triangle so one of sides is 3 and the other is 4, the hypotenuse, which is also the requested length is 5.

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QUESTION: 170

P(x, y) is the intersection point between the circle (x2 + y2 = 4) and the line (y = x +2). Which of the following can be the point P?

(1, 2).
(2, 0).
(0, -2).
(-2, 0).
(2, 2).

Answer(s): D

Explanation:

First, draw the circle and the line. The circle is centered at (0, 0) with a radius of 2.
You can see that the line and the circle intersect at two points: (-2, 0) and (0, 2). Another way is to insert y = x +2 into the equation of the circle and solve it.

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QUESTION: 171

What is the area of the rectangle with the following coordinates: (x, y), (10, y), (10, 5), (x, 5)?

6.
8.
12.
32.
It cannot be determined from the information given.

Answer(s): E

Explanation:

First of all, draw the rectangle with the given coordinates.
You can see that only one side of the rectangle is given and not the second, therefore there isn’t enough data to answer the question.

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QUESTION: 172

What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?

60.
85.
125.
225.
It cannot be determined from the information given.

Answer(s): D

Explanation:

First of all, draw the square with the given coordinates.
We know only one of the square’s sides but it’s enough because it is a square and both sides are equal. The area, therefore, is (15 x 15 = 225).

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Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 43)

QUESTION: 169

Explanation:

QUESTION: 170

Explanation:

QUESTION: 171

Explanation:

QUESTION: 172

Explanation: