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.
Four of the following five professionals are alike in a certain way and hence form a group. Which of the following does not belong to that group?
Correct Answer :
T
Solution :
The correct answer is T.
Step-by-Step Explanation:
We are given eight submission slots across four consecutive months (March, April, May, June) on two specific dates of each month (7th and 22nd):
1. March 7 (31-day month, 7th - odd date)
2. March 22 (31-day month, 22nd - even date)
3. April 7 (30-day month, 7th - odd date)
4. April 22 (30-day month, 22nd - even date)
5. May 7 (31-day month, 7th - odd date)
6. May 22 (31-day month, 22nd - even date)
7. June 7 (30-day month, 7th - odd date)
8. June 22 (30-day month, 22nd - even date)
Step 1: Determine 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 slot , then T is at slot .
- T did not submit on the final available date (June 22 / Slot 8).
- Therefore, M must be at Slot 1 (March 7), placing T at Slot 6 (May 22).
Step 2: Determine the positions of B and W
- Exactly one person submitted between T and B. Since T is at Slot 6, B must be at Slot 4 (April 22).
- The number of people who submitted prior to B equals the number of people who submitted after W. Prior to B (Slot 4), there are 3 individuals (Slots 1, 2, 3). Thus, there must be 3 individuals after W, placing W at Slot 5 (May 7).
Step 3: Determine the positions of L and Q
- L made his submission on an odd-numbered date (7th) during a 30-day month (April or June). The available 7th dates in 30-day months are April 7 (Slot 3) and June 7 (Slot 7).
- Three professionals submitted between L and Q. Placing L at Slot 7 (June 7) means Q is at Slot 3 (April 7), which leaves exactly 3 people (Slots 4, 5, 6) between them.
Step 4: Summary of Submission Schedule
- Slot 1 (March 7): M
- Slot 3 (April 7): Q
- Slot 4 (April 22): B
- Slot 5 (May 7): W
- Slot 6 (May 22): T
- Slot 7 (June 7): L
Step 5: Identify the Odd One Out
Let's look at the submission dates for the professionals in the given options:
- M submitted on March 7th (7th - Odd date)
- Q submitted on April 7th (7th - Odd date)
- W submitted on May 7th (7th - Odd date)
- L submitted on June 7th (7th - Odd date)
- T submitted on May 22nd (22nd - Even date)
All professionals in the group (M, Q, W, L) completed their submissions on an odd-numbered date (the 7th), whereas T completed her submission on an even-numbered date (the 22nd). Therefore, T does not belong to the group.
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