Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 36)

Page 36 of 182

In a rectangular axis system, what is the distance between the following points: A(24.4,30) and B(34.4,42.49) ?

  1. 5.
  2. 7.
  3. 8.
  4. 12.
  5. 16.

Answer(s): A

Explanation:

First, draw a rectangular axis system and mark the two points.
The easiest way to find the distance between them is to draw a triangle, where the line AB is the hypotenuse. You can see that the length of one side of the triangle is (34.4 – 24.4 = 10) and the other side is (42.49 – 30 = 12.49). The length of the line AB is received with the help Of the Pythagoras principle.



In a rectangular axis system, what is the area of a parallelogram with the coordinates: (5,7), (12,7), (2,3), (9,3)?

  1. 21.
  2. 28.
  3. 35.
  4. 49.
  5. 52.

Answer(s): B

Explanation:

First, draw the axis system and mark the 4 points. Connect the points to get a parallelogram. The area is calculated by the multiplication of one on of the bases and the height. The height is (7 – 3 = 4), the length of the base is (9 – 2 = 7). The area is 4 x 7 = 28.



If the radius of a cylinder is doubled and so is the height, what is the new volume of the cylinder divided by the old one?

  1. 8.
  2. 2.
  3. 6.
  4. 4.
  5. 10.

Answer(s): A

Explanation:

The volume of a cylinder is (pie x R2) x (height of cylinder). The new volume is (4 x 2 = 8) bigger.



If the radius of a cylinder is doubled and so is the height, how much bigger is the new lateral surface area (without the bases)?

  1. 8.
  2. 2.
  3. 6.
  4. 4.
  5. 10.

Answer(s): D

Explanation:

The lateral surface area of a cylinder is (2 x pie x R) x (height of cylinder).
The new lateral surface area is (2 x pie x 2R) x (double the height) = 4 times bigger.



Page 36 of 182



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