Sample Data Sufficiency Question

Put your basic math and analysis skills to the test in this sample data sufficiency question.

Directions 

This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether:

  • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
  • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
  • BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
  • EACH statement ALONE is sufficient to answer the question asked.
  • Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Question 

If a real estate agent received a commission of 6 percent of the selling price of a certain house, what was the selling price of the house? 

(1) The selling price minus the real estate agent's commission was $84,600.
(2) The selling price was 250 percent of the original purchase price of $36,000. 

  • (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. 
  • (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. 
  • (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 
  • (D) EACH statement ALONE is sufficient. 
  • (E) Statements (1) and (2) TOGETHER are NOT sufficient.

Answer: (D)

OK