Each of E, F, G, I, K, L and M has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only three people have the exam between F and L. Only three people have the exam between K and E. G has the exam on some day before I and on some day after M. Only E has the exam after L. How many people have the exam after K?

Given: Each of E, F, G, I, K, L and M has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.

Conditions:

1. Only three people have the exam between F and L.

2. Only three people have the exam between K and E.

3. G has the exam on some day before I and on some day after M.

4. Only E has the exam after L.

From condition 4, only E has the exam after L. This means L's exam is on Saturday and E's exam is on Sunday.

From condition 1, only three people have the exam between F and L. Since L is on Saturday, F must be on Tuesday.

From condition 2, only three people have the exam between K and E. Since E is on Sunday, K must be on Wednesday.

From condition 3, G has the exam on some day before I and on some day after M. The remaining days are Monday, Thursday, and Friday. Therefore, M must be on Monday, G on Thursday, and I on Friday.

We need to find how many people have the exam after K. K's exam is on Wednesday. The people having exams after K are G (Thursday), I (Friday), L (Saturday), and E (Sunday).

Thus, there are 4 people who have the exam after K.

Hence, the correct answer is "Option 1".