Question Details

Directions: Read the following information carefully and answer the questions that follow.

Six colleagues—F, G, H, I, J, and K—were born in six different months: January, March, April, May, August, and October, of six different years: 1996, 1999, 2002, 2003, 2006, and 2007. The birth years are ordered from oldest to youngest, but the months are not necessarily in the same order.

F was born in an even-numbered year, immediately following the birth of J. There is a two-year difference/gap in terms of birth order (exactly two people were born) between F and the person born in January. The individual born in October is 5 years older than K, who was born in a month with 31 days. H and G were born consecutively (with no one born between them) and both were born before the year 2002. The number of people born after the person whose birth month is May equals the number of people born before I. G was not born in a month with 31 days, nor was he born in August.



Who among the following was born in April?

Options

A

None of these

B

J

C

G

D

F

E

H

Show Answer

Correct Answer :

Option C

G

Solution :

The correct answer is G.

Step-by-Step Logical Breakdown:

Step 1: Arrange the Birth Years in Order
Ordering the six given birth years from oldest to youngest gives:
1. 1996 (Even year)
2. 1999 (Odd year)
3. 2002 (Even year)
4. 2003 (Odd year)
5. 2006 (Even year)
6. 2007 (Odd year)

Step 2: Determine the Position of the Person Born in October and K
• The individual born in October is 5 years older than K.
Checking the birth years, the only pair of years with a difference of 5 years is 2002 and 2007 (2007 - 2002 = 5).
⇒ The person born in 2002 was born in October.
K was born in 2007 (in a month with 31 days).

Step 3: Determine the Positions of H and G
• "H and G were born consecutively and both were born before the year 2002."
The years before 2002 are 1996 and 1999.
Therefore, H and G must occupy 1996 and 1999 in some order.

Step 4: Determine the Positions of J and F
• "F was born in an even-numbered year, immediately following the birth of J."
Since 1996 and 1999 are occupied by H and G, the available remaining years for J and F are 2002, 2003, and 2006.
F must be born in an even-numbered year right after J's birth year.
The only available valid sequence is:
J was born in 2003.
F was born in 2006 (even year).

Step 5: Identify the Person Born in 2002 and Place January
Since H, G, J, F, and K occupy 1996, 1999, 2003, 2006, and 2007 respectively, the only remaining person for the year 2002 is I.
I was born in 2002 (October).

• "There is a two-year difference/gap in terms of birth order (exactly two people were born) between F and the person born in January."
F is the 5th person in birth order (2006). Counting two people back (4th person in 2003 and 3rd person in 2002), the person born in January must be the 2nd person in birth order (1999).
⇒ The person born in 1999 was born in January.

Step 6: Assign Birth Years for G and H
• "G was not born in a month with 31 days."
January has 31 days, so G cannot be born in 1999.
H was born in 1999 (January).
G was born in 1996.

Step 7: Determine the Month for J (2003)
• "The number of people born after the person whose birth month is May equals the number of people born before I."
There are exactly 2 people born before I (1996 and 1999).
Thus, exactly 2 people must be born after the person born in May.
The person with 2 people born after them is the 4th person in birth order (2003).
J (2003) was born in May.

Step 8: Determine G's Birth Month
The six months are January, March, April, May, August, and October.
Assigned months so far:
• 1999 (H): January
• 2002 (I): October
• 2003 (J): May

The remaining months are March (31 days), April (30 days), and August (31 days).
Since G (1996) was NOT born in a month with 31 days, G must be born in the month with 30 days:
G was born in April.

Final Arrangement Table:

• 1996: G — April
• 1999: H — January
• 2002: I — October
• 2003: J — May
• 2006: F — March / August
• 2007: K — August / March

Therefore, G was born in April.

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