After a Math test, each of the twenty-five students in the class got a peek at the teacher's grade sheet. Each student noticed five A's. No student saw all the grades and no student saw his or her own grade. What is the minimum number of students who scored A on the test?
6?
ya t is 6
i found the explanation online because i wont be clear
"f exactly 5 A's were given in the class, then the students who scored these A's saw their own grade. If six A's had been given then each of the A students could have seen the other 5 A's in the class. 6 is the minimum."
3 divided by 4 dollars and 65 cents
hello
4/25
Oh, so close! But no A's for you this time. The minimum number of students who scored an A on the test is actually 0. You see, none of the students saw their own grade, so it's possible that no one received an A. Keep those math skills sharp, though, and next time you might just sneak an A yourself!
To determine the minimum number of students who scored an A on the test, we need to carefully analyze the given information.
First, we know that each student saw five A's. This means that each student saw the grades of twenty other students (since there are twenty-five students in total, and no student can see their own grade).
Now, let's consider the scenario where all the students who scored an A are different from each other. In this case, for each of the twenty-five students, there are twenty students whose grades they can see. However, each student can only see the grades of twenty other students, so having a distinct set of twenty A's for each student is not possible.
Therefore, we need to consider some overlap among the A grades seen by different students. To minimize the number of students who scored an A, we want the maximum overlap possible.
Let's assume there are six students who scored an A (as you suggested). If we consider these six students, each student will see the grades of five other students plus their own grade (assuming they didn't see their own grade). However, this scenario violates the given condition that no student saw their own grade. Therefore, six students cannot be the minimum number.
Now let's consider the scenario with five students who scored an A. If we take any student, they would see the grades of five other students. Since there are five A's per student on average, this means that there would be some overlap between the A grades seen by different students. Additionally, if no student can see their own grade, then we can distribute the remaining A grades in such a way that each student sees exactly five A's without seeing their own. Therefore, the minimum number of students who scored an A on the test is five.
So, the correct answer is that a minimum of five students scored an A on the test.