# SAT Math Multiple Choice Question 815: Answer and Explanation

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**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

**Explanation:**

**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 0.4*x*. The rest is very straightforward: 0.4*x* > 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).