Question Details

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.

How many professionals completed their submissions between N and K?

Options

A

None of these

B

One

C

Two

D

None

E

Three

Show Answer

Correct Answer :

Option C

Two

Solution :

The correct option is Two.

Step 1: Analyze the available dates and slots
There are 8 total submission dates across four consecutive months on the 7th and 22nd of each month:
1. Slot 1: March 7 (Month with 31 days)
2. Slot 2: March 22 (Month with 31 days)
3. Slot 3: April 7 (Month with 30 days)
4. Slot 4: April 22 (Month with 30 days)
5. Slot 5: May 7 (Month with 31 days)
6. Slot 6: May 22 (Month with 31 days)
7. Slot 7: June 7 (Month with 30 days)
8. Slot 8: June 22 (Month with 30 days)

Step 2: Determine the positions of L, Q, K, M, and T
• L submitted on an odd-numbered date (7th) in a 30-day month (April or June). Thus, L is at either Slot 3 (April 7) or Slot 7 (June 7).
• Exactly three professionals submitted between L and Q. If L is at Slot 3, then Q must be at Slot 7 (June 7).
• Q submitted in the same month as K. Since Q is at June 7 (Slot 7), K must submit on the other available date in June, which is Slot 8 (June 22).
• M submitted in a month with 31 days, and four professionals submitted between M and T (with T after M). Since Slot 7 is already occupied by Q, T cannot be at Slot 7. Therefore, T must be at Slot 6 (May 22), placing M at Slot 1 (March 7).

Step 3: Determine the positions of B, W, and N
• One person submitted between T (Slot 6) and B. Since Slot 8 is occupied by K, B must be at Slot 4 (April 22).
• The count of individuals who submitted prior to B (Slot 4) is 3 (Slots 1, 2, and 3). Therefore, the count of individuals after W must also be 3, which places W at Slot 5 (May 7).
• Since J submitted after E but before N, N is positioned at Slot 5 (May 7).

Step 4: Calculate the number of professionals between N and K
• N completed submission at Slot 5 (May 7).
• K completed submission at Slot 8 (June 22).
• The professionals who submitted between N and K are those at Slot 6 and Slot 7.

The total count of professionals between N and K is given by:

8-5-1=2

Thus, exactly Two professionals completed their project submissions between N and K.

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