SAT Math Multiple Choice Question 815: Answer and Explanation

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Test Information

Question: 815

5. What is the least possible integer value for which 40% of that integer is greaterthan 9.6?

  • A. 4
  • B. 12
  • C. 20
  • D. 25

Correct Answer: D



Difficulty: Medium

Category: Heart of Algebra / Inequalities

Strategic Advice: Sometimes, questions are much easier than they sound. Translate from English into math and you'll see that this question actually involves solving a fairly simple inequality.

Getting to the Answer: Call the unknown integer x. Translate "40% of that integer" as 0.4x. The rest is very straightforward: 0.4x > 9.6. Divide both sides of the inequality by 0.4 to find that x > 24. The question specifically says greater (not greater than or equal to), so the correct answer is 25, which is (D).

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