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.