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Quantitative - Mathematics - Data Sufficiency:

Data Sufficiency

MCQ - 27-4003

Question:

Given that x and y are real numbers, what is the value of x + y ?

  1. (x² - y²) / (x - y) = 7
  2. (x + y)² = 49

  1. statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
  2. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
  3. both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
  4. statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
  5. statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Correct Answer: A

Explanation:

The expression x² - y² has factors (x + y)(x - y), and so we can simplify (cancel down) the expression in (1) to get x + y = 7. The answer must be A or D. Now consider (2) alone: there are two possible values for x + y. (Either 7 or -7). Since there is not one discrete value for (2), the answer must be A.

Record Performance

34 MCQ for effective preparation of the test of Data Sufficiency of Data Sufficiency section.

Read the MCQ statement: Given that x and y are real numbers, what is the value of x + y ? (x² - y²) / (x - y) = 7 (x + y)² = 49 , keenly and apply the method you have learn through the video lessons for Data Sufficiency to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 27-4003.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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