Directions: Each GMAT Data Sufficiency proble...
Directions: Each GMAT Data Sufficiency problem consists of a question and two statements labeled (1) and (2), that provide data. Based on the data given plus your knowledge of mathematics and everyday facts, you must decide whether the data are sufficient for answering the question. The five answer choices are the same for every data sufficiency question.
If the product of j and k does not equal zero, is j<0 and k>0?
(1) (-j, k) lies above the x-axis and to the right of the y-axis.
(2) (j, -k) lies below the x-axis and to the left of the y-axis.
• a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer thequestion asked;
• b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer thequestion asked;
• c)
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
• d)
• e)
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked,and additional data are needed.
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Directions: Each GMAT Data Sufficiency problem consists of a question ...
The correct response is (D). Each statement alone is sufficient.
Statement 1: If (-j, k) lie above the x-axis and to the right of the y-axis (that is, in the first quadrant), then we can write the following two inequalities: -j>0, and k>0 OR j<0 and k>0. Statement 1 is sufficient to answer the question.
Statement (2): If (j, -k) is in the third quadrant (as the information in statement 2 implies), then j = negative, and –k = negative.
We can write the following inequalities: j<0, and –k<0, OR j<0, and k>0. Statement 2 alone is sufficient to answer the question.
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Directions: Each GMAT Data Sufficiency problem consists of a question ...
The correct response is (D). Each statement alone is sufficient.
Statement 1: If (-j, k) lie above the x-axis and to the right of the y-axis (that is, in the first quadrant), then we can write the following two inequalities: -j>0, and k>0 OR j<0 and k>0. Statement 1 is sufficient to answer the question.
Statement (2): If (j, -k) is in the third quadrant (as the information in statement 2 implies), then j = negative, and –k = negative.
We can write the following inequalities: j<0, and –k<0, OR j<0, and k>0. Statement 2 alone is sufficient to answer the question.
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