GMAT考试-Testprep数学精解2(12)

网络资源 Freekaoyan.com/2008-04-10

  You can assume that a line that appears straight is straight and that angle

  measures cannot be zero.

  You can assume that the relative positions of points, angles, and objects ar

  e as shown.

  All drawings lie in a plane unless stated otherwise.

  Example:

  In triangle ABC to the right, what is the value of y?

  (1) AB = AC

  (2) x = 30

  Explanation: By statement (1), triangle ABC is isosceles. Hence, its base an

  gles are equal: y = z. Since the angle sum of a triangle is 180 degrees, we

  get x + y + z = 180. Replacing z with y in this equation and then simplifyin

  g yields x + 2y = 180. Since statement (1) does not give a value for x, we c

  annot determine the value of y from statement (1) alone. By statement (2), x

  = 30. Hence, x + y + z = 180 becomes 30 + y + z = 180, or y + z = 150. Sinc

  e statement (2) does not give a value for z, we cannot determine the value o

  f y from statement (2) alone. However, using both statements in combination,

  we can find both x and z and therefore y. Hence, the answer is C.

  Notice in the above example that the triangle appears to be a right triangle

  …… However, that cannot be assumed: angle A may be 89 degrees or 91 degrees,

  we can't tell from the drawing. You must be very careful not to assume any m

  ore than what is explicitly given in a Data Sufficiency problem.

  ELIMINATION

  Data Sufficiency questions provide fertile ground for elimination. In fact,

  it is rare that you won't be able to eliminate some answer-choices. Remember

  , if you can eliminate at least one answer choice, the odds of gaining point

  s by guessing are in your favor.

  The following table summarizes how elimination functions with Data Sufficien

  cy problems.


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