Directions: Analyze the details provided below to answer the following question.

Eight professionals completed their project submissions across four consecutive months—March, April, May, and June—on two specific dates of each month: the 7th and 22nd.

M finished her submission in a month containing 31 days. Exactly four professionals submitted between M and T, with T submitting after M. T did not submit on the final available date. One person submitted between T and B. The count of individuals who submitted prior to B equals the count of individuals who submitted after W. L made his submission on an odd-numbered date during a 30-day month. Three professionals submitted between L and Q. Q submitted in the same month as K. J submitted after E but before N.

E completed the project submission in which of the following months?

The correct answer is March.

Step-by-Step Explanation:

1. Understand the Setup and Chronological Order:
There are 8 professionals submitting across 4 months (March, April, May, June) on two dates of each month (7th and 22nd).
The months have the following number of days:
- March: 31 days
- April: 30 days
- May: 31 days
- June: 30 days

Arranging the 8 available slots in chronological order:
1. March 7th
2. March 22nd
3. April 7th
4. April 22nd
5. May 7th
6. May 22nd
7. June 7th
8. June 22nd

2. Determine the Positions of M and T:
- Clue: "M finished her submission in a month containing 31 days." (March or May)
- Clue: "Exactly four professionals submitted between M and T, with T submitting after M."
This means: Position of T = Position of M + 5.
- Since total slots = 8, M can only be in Position 1, 2, or 3.
- If M were in May (Position 5 or 6), T would be in Position 10 or 11, which does not exist.
- Therefore, M must be in March (31 days), so M is either at Position 1 (March 7th) or Position 2 (March 22nd).
- If M is at Position 1, T is at Position 6 (May 22nd).
- If M is at Position 2, T is at Position 7 (June 7th).

3. Determine the Position of B and W:
- Clue: "One person submitted between T and B."
- Clue: "The count of individuals who submitted prior to B equals the count of individuals who submitted after W."
This implies that:
\text{Position of B}+\text{Position of W}=9
Let's analyze the two possibilities for T:
Case A: T is at Position 6 (May 22nd), so M is at Position 1 (March 7th).
- With T at Position 6, B can be at Position 4 (April 22nd) or Position 8 (June 22nd).
- If B is at Position 8, then Position of W = 9 - 8 = 1 (March 7th). But Position 1 is already occupied by M. So B cannot be at Position 8.
- Therefore, B must be at Position 4 (April 22nd), which means W is at Position 5 (May 7th).

Case B: T is at Position 7 (June 7th), so M is at Position 2 (March 22nd).
- With T at Position 7, B must be at Position 5 (May 7th), which means W is at Position 4 (April 22nd).

4. Determine the Positions of L and Q:
- Clue: "L made his submission on an odd-numbered date during a 30-day month."
The 30-day months are April and June, and the odd-numbered date is the 7th. Thus, L must be at April 7th (Position 3) or June 7th (Position 7).
- Clue: "Three professionals submitted between L and Q."
This means the difference between their positions is 4:
|\text{Position of Q}-\text{Position of L}|=4
- In Case B, Position 7 (June 7th) is occupied by T. Thus L would have to be at Position 3 (April 7th), making Q occupy Position 7. But Position 7 is already taken by T! Hence, Case B is invalid.
- In Case A, L is placed at Position 3 (April 7th) and Q is placed at Position 7 (June 7th).

5. Determine the Position of K and E:
- Clue: "Q submitted in the same month as K."
Q is at Position 7 (June 7th), so K must occupy the other date in June, which is Position 8 (June 22nd).
- Now let's review all filled positions in Case A:
Position 1: March 7th – M
Position 3: April 7th – L
Position 4: April 22nd – B
Position 5: May 7th – W
Position 6: May 22nd – T
Position 7: June 7th – Q
Position 8: June 22nd – K

The only remaining unoccupied slot is Position 2 (March 22nd), which must be occupied by E.

Final Complete Schedule:
- March 7th: M
- March 22nd: E
- April 7th: L
- April 22nd: B
- May 7th: W
- May 22nd: T
- June 7th: Q
- June 22nd: K

Therefore, E completed the project submission on March 22nd, which is in the month of March.