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I. Data Sufficiency
wA. Introduction
wB. Strategies for Solving Data Sufficiency
wC. Data Sufficiency Trick Questions
wD. More Practice Questions

     

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B. Strategies for Solving Data Sufficiency Questions


1. Memorize the Data Sufficiency answer choices.

The directions and answer choices for Data Sufficiency questions never change. Memorize them so that you have no problems on test day. There is no excuse for walking into test day without these five answer choices perfectly memorized!

A) Statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not.
B) Statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not.
C) Statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient.
D) Either statement by itself is sufficient to answer the question.
E) Statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem.

Some students confuse C and D. Read each answer choice carefully.

1. Note that A requires that B not be sufficient, and vice versa with B.

2. C stipulates that A and B cannot be able to answer the question alone. This means that although A and B together may be able to answer, the answer is not C if either one can answer the question alone.

3. The answer is D if both can answer the question independently, even if both can answer the question together.

What does it mean that a statement is "sufficient"?


Sufficient does not mean that a statement is right or true, just that you can use the statements to derive an answer. Many beginning students err and think a statement is not sufficient if it proves a statement false.

 

2. Methodically progress through the two statements

     It takes mental discipline to progress through the Data Sufficiency questions. The test writers deliberately build tricks to each question. There are two basic questions that you must ask yourself on every Data Sufficiency question:

Step 1: Can you answer the question using the information from statement (1) only?

Step 2: Can you answer the question using the information from statement (2) only?

Step 3: If the answer to both of these questions is "no," then you ask yourself a third question: can you answer the question if you combine the information from both statements?


Example

Does 3 + x = 1?
1) x is positive
2) x is an odd number

Solution
(1) alone is sufficient, because it proves that 3 + x cannot equal 1. 3 plus a positive number cannot equal 1. Thus, statement (1) is sufficient because it establishes that the statement is false.
(2) Statement (2) is also sufficient, because it proves 3 + x cannot equal 1. 3 plus an odd number cannot equal 1. Therefore, it is sufficient. Since both statements are sufficient, the answer must be D.

 

3. Data Sufficiency process of elimination strategies


In Step 2, as you progress through each statement, you may eliminate questions. Just solve for one of the statements and you are halfway done.

Statement 1 is insufficient: automatically eliminate choices A and D, which require (1) to be sufficient.

Statement 1 is sufficient: automatically eliminate choices B, C and E, which require (1) to be insufficient.

Statement 2 is insufficient: automatically eliminate choices B and D, which require (1) to be sufficient.

Statement 2 is sufficient: automatically eliminate choices A, C and E, which require (1) to be insufficient.

 

4. Analyze questions in terms of sufficiency.

Do not think in terms of "what is the exact value," "is this true or false?" Instead, review questions in terms of one question "is there enough information to answer the question?" Look at each statement and ask yourself if it provides enough information to arrive at a conclusion.



w C. Data Sufficiency Trick Questions





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