Multiple choice general knowledge math & puzzles

Five students A, E, I, O, and U, were comparing the scores each received on a test and a quiz. the following was discovered: A's quiz score was 80 A's test score equals U's quiz score U's test score equals A's quiz score A's quiz score is 15 less than U's quiz score O's test score is 20 more than his quiz score and is 20 more than I's test score O's test score is 40 more than E's quiz score I's quiz score is 10 less than E's quiz score Question 2 Which one of the following must be true?

  1. I's quiz score equals O's test score

  2. E's quiz score equals U's quiz score

  3. A's quiz score equals U's test score

  4. E's quiz score equals O's quiz score

  5. I's quiz score equals I's test score
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given A's quiz score is 80 and U's test equals A's quiz score, we have U's test = 80. This directly means A's quiz score (80) equals U's test score (80). All other options can be disproven: A's test = 95 (from U's quiz), E's quiz = 75, I's quiz = 65, O's test = 95.

AI explanation

One of the given clues directly states that U's test score equals A's quiz score, which is logically identical to saying A's quiz score equals U's test score. Since this is asserted outright as a premise, it must always hold true regardless of the specific numeric values worked out for the other students, making it the one statement guaranteed to be true.

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