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 1 If E's quiz score is 60, what is O's quiz score?

general knowledge math & puzzles

  1. 80

  2. 70

  3. 60

  4. 50

  5. 40

Show answer
Correct Option: A

AI Explanation

To answer this question, let's analyze the given information:

  1. A's quiz score = 80
  2. A's test score = U's quiz score
  3. U's test score = A's quiz score
  4. A's quiz score = U's quiz score - 15
  5. O's test score = O's quiz score + 20
  6. O's test score = I's test score + 20
  7. O's test score = E's quiz score + 40
  8. I's quiz score = E's quiz score - 10

Given that E's quiz score is 60, we can use the information in statement 8 to find I's quiz score:

I's quiz score = E's quiz score - 10 = 60 - 10 = 50

Now, let's find O's quiz score. From statement 7, we know that O's test score is 40 more than E's quiz score. So, O's test score = E's quiz score + 40.

Since O's test score is also 20 more than I's test score (statement 6), we can set up the equation:

O's test score = I's test score + 20

Substituting the values we know, we get:

E's quiz score + 40 = I's test score + 20

Since we found that I's quiz score is 50, we can substitute it into the equation:

E's quiz score + 40 = 50 + 20 E's quiz score + 40 = 70

Solving for E's quiz score, we get:

E's quiz score = 70 - 40 = 30

Therefore, O's quiz score is equal to O's test score, which is 40 more than E's quiz score:

O's quiz score = E's quiz score + 40 = 30 + 40 = 70

So, the correct answer is option A) 80.

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