SAT Math Multiple Choice Practice Question 56: Answer and Explanation
Next steps
- Use your browser's back button to return to your test results.
- Do another SAT math multiple choice practice tests.
Question: 56
12. The three-digit number ABC has the following properties:
The middle digit is the sum of the first and last digits.
None of the digits repeat.
ABC is divisible by 5.
Which of the following could equal B?
A. 6
B. 5
C. 4
D. 3
E. 2
Correct Answer: A
Explanation:
A. Start with the last fact given in the question, that the three-digit number ABC is divisible by 5. Every number that's divisible by 5 ends in either 0 or 5, so C must be one of those numbers. The first and second facts make it impossible for C to be zero, because, if C were zero, A and B would be equal to each other, which is illegal. Therefore, C must be 5. Because B = A + C, and A must be at least 1, B must be at least 6.