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.
Who among the following was the third to last person to make their project submission?
Correct Answer :
T
Solution :
The correct option is T.
Below is the detailed, step-by-step logical reasoning to solve this puzzle:
Step 1: Map out the 8 submission slots
The project submissions took place across four consecutive months (March, April, May, June) on two specific dates of each month (7th and 22nd). This gives a total of 8 submission positions in chronological order:
1. March 7 (31 days)
2. March 22 (31 days)
3. April 7 (30 days)
4. April 22 (30 days)
5. May 7 (31 days)
6. May 22 (31 days)
7. June 7 (30 days)
8. June 22 (30 days)
Step 2: Identify the required position
The question asks for the third to last person to make their project submission.
Counting backwards from the final submission date:
• 1st to last (Last): Position 8 (June 22)
• 2nd to last: Position 7 (June 7)
• 3rd to last: Position 6 (May 22)
Therefore, we need to determine which professional submitted at Position 6 (May 22).
Step 3: Analyze the positions of M and T
• M finished her submission in a 31-day month (March or May).
• Exactly four professionals submitted between M and T, with T submitting after M.
• If M is at position , then T must be at position:
• If M submitted in May (Position 5), then T would be at position:
This is impossible because there are only 8 positions.
• Thus, M must have submitted in March (Position 1 or Position 2):
- If M is at Position 1 (March 7), T is at Position 6 (May 22).
- If M is at Position 2 (March 22), T is at Position 7 (June 7).
Step 4: Determine T's exact position
• L submitted on an odd-numbered date (7th) during a 30-day month (April or June). Thus, L submitted on either Position 3 (April 7) or Position 7 (June 7).
• Three professionals submitted between L and Q, which means the difference between their positions is 4:
- If L is at Position 3 (April 7), Q is at Position 7 (June 7).
- If L is at Position 7 (June 7), Q is at Position 3 (April 7).
• In either scenario, Position 7 (June 7) is occupied by either L or Q.
• As a result, T cannot be at Position 7.
• Therefore, T must be at Position 6 (May 22).
Conclusion:
Since T submitted at Position 6 (May 22), T is the third to last person to make their project submission.
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