Study the information given below and answer the question that follow. There are four friends A, B, C, D. One of them is a cricketer and studies chemistry and biology. A and B play football. Both football players study mathematics. D is a boxer. One football player also studies physics. The boxer studies mathematics and accounts. All the friends study two subjects each and play one game each. How many games are played and subjects studied by the friends A, B, C, D?
Study the information given below and answer the question that follow. There are four friends A, B, C, D. One of them is a cricketer and studies chemistry and biology. A and B play football. Both football players study mathematics. D is a boxer. One football player also studies physics. The boxer studies mathematics and accounts. All the friends study two subjects each and play one game each. How many games are played and subjects studied by the friends A, B, C, D?
Solution
Let's list what we know about each person:
A: Plays football, Studies mathematics and (one more subject)
B: Plays football, Studies mathematics and (one more subject - one of them studies physics)
C: Plays cricket, Studies chemistry and biology
D: Plays boxing, Studies mathematics and accounts
Counting games:
Football: A, B (2 people)
Cricket: C (1 person)
Boxing: D (1 person)
Total games = 3
Counting subjects:
Mathematics: A, B, D
Chemistry: C
Biology: C
Physics: Either A or B
Accounts: D
Total unique subjects = 5
Therefore, there are 3 games and 5 subjects.