PSAT Math Multiple-Choice Question 287: Answer and Explanation

Question: 287

Two siblings each took a standardized math test for their grade levels. One sibling took the test with 75 questions and the older sibling took the test with 140 questions. If the younger sibling got 60 questions right and both siblings received the same overall score, how many questions did the older sibling answer correctly?

• A. 125
• B. 105
• C. 112
• D. 122

Correct Answer: C

Explanation:

The older sibling answered 112 questions right because (60 correct)/(75 questions) = X/(140 questions) and x = 112 questions. See Lesson: Ratios, Proportions, and Percentages.