The scores of a math test for five studerits were posted on the bulletin board. The students' names are Fred, Penny, Tom, John and Jake. Fred and Jake scored the same number of points. Pernny did not get the highest soore. John's score was 5 points lower than Tom's. The scores were 71, 53, 87, 53 and 82 . Which student recelved whit score? A. Fred and Jake 53, Penny 82, Tom 71, Johin 87 B. Frat ani Tom 53, John 74, Tom 82, Pemmy 87 C. Fred ani Tom 53, Penny 82, Jake 71, John 87 D. Fred and Jake 53, Penny 71, Tom 87 , John 82
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Let's dissect the situation step by step. According to the clues, we have: 1. Fred and Jake scored the same. 2. Penny did not have the highest score. 3. John's score is 5 points lower than Tom's. From the scores available (71, 53, 87, 53, and 82), we can start piecing them together. The only score that appears twice is 53 for Fred and Jake, making it a good candidate for them since both have the same score. Next, if John has to score 5 points lower than Tom, the only pairs that fit are Tom with 82 and John with 77 (not an option), or Tom 87 and John 82. However, we know Penny can't have 87, which leaves us with Tom 82 and John 71. Given that option A fits perfectly where Penny has 82, it can't work since it goes against her not having the highest score. Finally, aligning all scores only fits option A: Fred and Jake scored 53 points, Penny scored 71 points, Tom scored 82 points, and John scored 87 points, leaving only option A viable as per all clues provided! So, the answer is: Fred and Jake scored 53, Penny scored 71, Tom scored 82, and John scored 87!
