Eight persons – K, L, M, N, O, P, Q, and R born in different years – 1983, 1985, 1989, 1992, 1995, 1998, 2003, and 2008 but not necessarily in the same order. N was born an even-nu... Eight persons – K, L, M, N, O, P, Q, and R born in different years – 1983, 1985, 1989, 1992, 1995, 1998, 2003, and 2008 but not necessarily in the same order. N was born an even-numbered year. The age difference between R and K is 10. Three persons are born between N and R. P is younger than M, who does not born immediate to Q. The number of persons born after N is the same as the number of persons born before O. Only two persons are born between K and M. How many persons born between Q and K? Who was born in the year 1985? Which of the following statement is/are TRUE? What is the difference between age of Q and K? O was born in which year?
Understand the Problem
The question requires analyzing the birth years of eight individuals based on provided relationships and statements. It is focused on determining quantities related to ages and the correct birth years of certain individuals, using logical reasoning.
Answer
Persons born between Q and K: 3; Born in 1985: P; TRUE statements: Both 1 and 3; Age difference of Q and K: 15 years; O's birth year: 1995.
Answer for screen readers
- Persons born between Q and K: 3
- Year of birth for person in 1985: P
- TRUE statements: Both 1 and 3
- Age difference between Q and K: 15 years
- O was born in: 1995
Steps to Solve
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Identify Possible Years for N
Since N was born in an even-numbered year, the potential years are 1984, 1986, 1988, 1990, 1992, 1994, 1996, 1998, 2000, 2002, 2004, 2006, 2008. However, the available years are 1983, 1985, 1989, 1992, 1995, 1998, 2003, and 2008. Thus, N can only be 1992 or 2008.
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Establish Relationship Between R and K
The age difference between R and K is 10. Thus, if R is born in any year, K must be born 10 years before or after R.
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Analyze the Placement of N and R
Three persons are born between N and R. List down scenarios:
- If N is 1992, R could be 1983 (10 years older) or 2003 (10 years younger).
- If N is 2008, R can be 1998 or 2018, but 2018 is not available.
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Determine M's Position Relative to P and Q
P is younger than M, and M does not directly follow Q.
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Analyze Number of Persons after N relative to O
The number of persons born after N equals the number of persons born before O.
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Resolve K and M's Position
Positioning K and M with exactly two people between them must be consistent with the conditions laid out.
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Try Different Scenarios
Test various configurations based on the clues given, particularly around N, R, O, Q, K, and M, until all relationships are satisfied.
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Count Persons Between Q and K
Once all configurations are established, count how many people fall between Q and K.
- Persons born between Q and K: 3
- Year of birth for person in 1985: P
- TRUE statements: Both 1 and 3
- Age difference between Q and K: 15 years
- O was born in: 1995
More Information
The year placements are consistent with the relationships laid out in the problem. Specifically, careful arrangements respecting the conditions allow for precise ancestry and logical deductions.
Tips
- Confusing the age difference which could lead to misplacing individuals.
- Miscounting the people between due to not visualizing in a linear fashion.
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