Study the following details carefully and answer the question that follows.

Six colleagues—K, J, D, W, H, and Z—were born in six different months: February, March, May, June, August, and September, of six distinct years: 2004, 2007, 2010, 2011, 2014, and 2015. Except for the chronological order of the years, the remaining details are not necessarily in the sequence presented.

K was born in a year with an even number but immediately after H. Two colleagues were born between K and the one who was born in February. The colleague born in September is 5 years older than Z, who was born in a month containing an odd number of days. J and D were born one after the other with no births in between, and both were born before the year 2010. The number of colleagues born after the one born in June is equal to the number of colleagues born before W. J was born neither in a month with 31 days nor in August.

Identify the combination that is correct from the options below:

The correct option is K – August – 2014.

Let us solve the puzzle step-by-step by arranging the six colleagues (K, J, D, W, H, Z) in chronological order of their birth years and determining their respective birth months (February, March, May, June, August, September).

The given years in chronological order are:
1. 2004
2. 2007
3. 2010
4. 2011
5. 2014
6. 2015

Step 1: Determine the birth years of J and D
We are given that J and D were born one after the other with no births in between, and both were born before the year 2010.
The years before 2010 are 2004 and 2007.
Therefore, J and D must occupy the years 2004 and 2007 in some order.

Step 2: Determine the birth years of H, K, W, and Z
The remaining available years for H, K, W, and Z are 2010, 2011, 2014, and 2015.
We know that K was born in an even-numbered year immediately after H. Looking at consecutive available years:
- Between 2010 and 2011: 2011 is an odd year.
- Between 2011 and 2014: 2014 is an even year, so H can be born in 2011 and K immediately after in 2014.
- Between 2014 and 2015: 2015 is an odd year.
Thus, H was born in 2011, and K was born in 2014.

Next, we are given that the colleague born in September is 5 years older than Z. This means Z was born 5 years after the person born in September:

$2015-2010=5$
Looking at our unassigned years (2010 and 2015), the difference is exactly 5 years. Therefore, the colleague born in 2010 was born in September, and Z was born in 2015.
Since 2010 is taken by September, the remaining unassigned colleague for 2010 must be W.
So, W was born in 2010 in the month of September.

Step 3: Determine the birth months
1. February: Two colleagues were born between K (2014, 5th position) and the one born in February. Counting 2 positions back from 2014 (skipping 2011 and 2010) brings us to 2007 (2nd position). Thus, the colleague born in 2007 was born in February.
2. June: The number of colleagues born after the one born in June is equal to the number of colleagues born before W (2010). Since W is at the 3rd position (2010), there are 2 colleagues born before W (2004 and 2007). Therefore, there must be 2 colleagues born after the June-born colleague, placing June at the 4th position (2011, which is H's birth year).

Step 4: Assign exact years to J and D
The months determined so far are:
- 2007: February (28/29 days)
- 2010: September (30 days)
- 2011: June (30 days)
The remaining months are March, May, and August, all of which contain 31 days.
We are given that J was born neither in a month with 31 days nor in August. Since 2004 must be assigned one of the remaining 31-day months, J cannot be born in 2004.
Hence, J was born in 2007 (February), and D was born in 2004.

Final Summary of Schedule:
- 2004: D (March / May / August)
- 2007: J (February)
- 2010: W (September)
- 2011: H (June)
- 2014: K (August / March / May)
- 2015: Z (March / May / August)

Evaluating the given choices:
- D – February – 2015 (Incorrect; D was born in 2004)
- K – August – 2014 (Correct)
- W – September – 2014 (Incorrect; W was born in 2010)
- W – June – 2015 (Incorrect; W was born in September 2010)

Thus, the combination K – August – 2014 is correct.