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.
Which of the following colleagues was born in the year 2015?
Correct Answer :
Z
Solution :
Correct Answer: Z
To determine which colleague was born in the year 2015, we can analyze the given clues step-by-step by arranging the years in chronological order.
Step 1: List the years in chronological order
The given years in order are:
1. 2004
2. 2007
3. 2010
4. 2011
5. 2014
6. 2015
Step 2: Determine the birth years of Z and the one born in September
We are given that the colleague born in September is 5 years older than Z (meaning Z was born 5 years after the one born in September).
Looking at our list of years, the only pair of years with a difference of exactly 5 years is 2015 and 2010 (since 2015 - 2010 = 5).
- September-born colleague: 2010
- Z: 2015
Step 3: Determine the positions of K and H
Clue: "K was born in a year with an even number but immediately after H."
Even years available: 2004, 2010, 2014.
- K cannot be 2004 because it is the first year.
- If K was 2010, H would be 2007. Then, two colleagues between K (2010) and February would place February in 2015. However, Z was born in 2015, and Z was born in a month with an odd number of days (31 days). February has an even number of days (28/29 days), so this case is invalid.
- Therefore, K was born in 2014 and H was born in 2011.
Step 4: Determine the month of February and remaining colleagues
- Two colleagues were born between K (2014, position 5) and the one born in February, placing February in 2007 (position 2).
- J and D were born one after another before 2010, so they occupy 2004 and 2007.
- Since 2004, 2007, 2011, 2014, and 2015 are occupied by J/D, H, K, and Z respectively, W must be born in 2010.
Step 5: Final Year-wise Summary
- 2004: D
- 2007: J (February)
- 2010: W (September)
- 2011: H (June)
- 2014: K
- 2015: Z
Thus, Z was born in the year 2015.
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