SSAT Math Question 295: Answer and Explanation
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Question: 295
9. In the number line, if k is an integer, which of the following could be the length of segment XY?
- A. 10
- B. 12
- C. 21
- D. 33
Correct Answer: D
Explanation:
The answer is D
Let x be the length of the line. Write the equation: k + 3k + 7k = x. Combine like terms: It simplifies to 11k = x. This indicates that the correct answer must be a multiple of 11, because k is an integer.
Test the answers starting with choice (C). Here k + 3k + 7k = 21. Combine like terms and divide by 11: k = 
. As k is an integer, eliminate choice (C). Try any other answer (as bigger/smaller is not at issue). If you test choice (D) k + 3k + 7k = 33. So, 11k = 33, and k = 3. As that is an integer, select choice (D).