Q 32. Verification of Truth/Lie of Statements
In a school, 60% students play cricket. A student who does not play cricket, plays football. Every football player has got a two-wheeler. Which of the following conclusions cannot be drawn from the above data? 1. 60% of the students do not have two-wheelers. 2. No cricketer has a two-wheeler. 3. Cricket players do not play football. Select the correct answer using the code given below:
a)
1 and 2 only
b)
2 and 3 only
c)
1 and 3 only
d)
1, 2 and 3
Answer:
d
Option D: 1, 2 and 3
● Statement 1: "60% of the students do not have two-wheelers."
○ Given that 60% of the students play cricket, it implies that 40% of the students do not play cricket. According to the problem, students who do not play cricket play football, and every football player has a two-wheeler. Therefore, 40% of the students have two-wheelers. This means that 60% of the students do not have two-wheelers. Hence, this statement can be drawn from the data.
● Statement 2: "No cricketer has a two-wheeler."
○ The problem states that every football player has a two-wheeler, and students who do not play cricket play football. It does not explicitly state that cricketers cannot have two-wheelers. Therefore, this conclusion cannot be definitively drawn from the given data.
● Statement 3: "Cricket players do not play football."
○ The problem states that students who do not play cricket play football. It does not explicitly state that cricket players cannot play football. Therefore, this conclusion cannot be definitively drawn from the given data.
Since Statements 2 and 3 cannot be definitively concluded from the given information, the correct answer is Option D: 1, 2 and 3.
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Explained
● Statement 1: "60% of the students do not have two-wheelers."
○ Given that 60% of the students play cricket, it implies that 40% of the students do not play cricket. According to the problem, students who do not play cricket play football, and every football player has a two-wheeler. Therefore, 40% of the students have two-wheelers. This means that 60% of the students do not have two-wheelers. Hence, this statement can be drawn from the data.
● Statement 2: "No cricketer has a two-wheeler."
○ The problem states that every football player has a two-wheeler, and students who do not play cricket play football. It does not explicitly state that cricketers cannot have two-wheelers. Therefore, this conclusion cannot be definitively drawn from the given data.
● Statement 3: "Cricket players do not play football."
○ The problem states that students who do not play cricket play football. It does not explicitly state that cricket players cannot play football. Therefore, this conclusion cannot be definitively drawn from the given data.
Since Statements 2 and 3 cannot be definitively concluded from the given information, the correct answer is Option D: 1, 2 and 3.