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.
Four of the following five are alike in a certain way and hence form a group. Who among the following doesn't belong to that group?
Correct Answer :
J
Solution :
The correct option is J.
To determine who does not belong to the group, let us deduce the exact birth year and month for each of the six colleagues (K, J, D, W, H, and Z) step-by-step.
Step 1: Arrange the years chronologically
The six distinct years given in chronological order are:
1. 2004
2. 2007
3. 2010
4. 2011
5. 2014
6. 2015
Step 2: Determine the positions of H and K
We are given that K was born in an even-numbered year immediately after H.
The even years are 2004, 2010, and 2014.
• K cannot be born in 2004 because no listed year comes before 2004.
• Possibility 1: H was born in 2007 and K in 2010.
• Possibility 2: H was born in 2011 and K in 2014.
Step 3: Determine the positions 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 only available years before 2010 are 2004 and 2007. Therefore, J and D must occupy 2004 and 2007.
Since 2007 is occupied by either J or D, H cannot be born in 2007. This eliminates Possibility 1.
Thus, Possibility 2 is correct:
• H was born in 2011
• K was born in 2014
Step 4: Determine the month of February
Two colleagues were born between K and the one born in February.
Since K is in the 5th year (2014), counting 2 colleagues back places the one born in February at the 2nd year (2007).
Therefore, the colleague born in 2007 was born in February.
Step 5: Determine the positions of Z, W, and September
The colleague born in September is 5 years older than Z. This means September was born 5 years earlier than Z:
Step 6: Determine the position of June
The number of colleagues born after the one born in June equals the number born before W.
Since W is in 2010 (3rd year), exactly 2 colleagues were born before W (in 2004 and 2007).
Thus, 2 colleagues must be born after the one born in June, which places June in the 4th year (2011).
Therefore, H (2011) was born in June.
Step 7: Fix the positions of J and D
The unassigned months are March, May, and August, all of which contain 31 days.
We know J was born neither in a month with 31 days nor in August.
Since the colleague in 2004 must be assigned a 31-day month, J cannot be in 2004.
Therefore:
• J was born in 2007 (February)
• D was born in 2004 (March / May / August)
Final Arrangement Table:
• 2004: D — March / May / August (31 days)
• 2007: J — February (28 / 29 days)
• 2010: W — September (30 days)
• 2011: H — June (30 days)
• 2014: K — March / May / August (31 days)
• 2015: Z — March / May / August (31 days)
Finding the Odd One Out:
Comparing the birth months of the options:
• W is born in September (30 days)
• H is born in June (30 days)
• K is born in a 31-day month
• Z is born in a 31-day month
• J is born in February (28/29 days)
J is the only colleague born in February (a month with fewer than 30 days), whereas all other colleagues in the options are born in months containing 30 or 31 days. Hence, J does not belong to the group.
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