Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > 1. Some football players play cricket.2. All...
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1. Some football players play cricket.
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is
- a)All hockey players play football.
- b)No football player plays hockey.
- c)All football players play hockey.
- d)Some football players play hockey.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
1. Some football players play cricket.2. All cricket players play hoc...
F → Football players
C → Cricket players
H → Hockey players
∴ Some football players play hockey
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1. Some football players play cricket.2. All cricket players play hoc...
Logical Reasoning:
To determine the logical conclusion that follows from the given statements, we need to analyze the information provided and make deductions based on the relationship between the different sports mentioned. Let's break down the statements and analyze them step by step.
Statement 1: Some football players play cricket.
This statement suggests that there is an overlap between the set of football players and cricket players. In other words, there are individuals who are both football players and cricket players. However, it does not imply that all football players play cricket or vice versa.
Statement 2: All cricket players play hockey.
This statement states that every cricket player also plays hockey. It implies that there is a complete overlap between the set of cricket players and hockey players. In other words, if someone is a cricket player, they are also necessarily a hockey player.
Logical Conclusion:
Based on the given statements, we can draw the following logical conclusion:
Option D: Some football players play hockey.
Here's the reasoning behind this conclusion:
- Since statement 1 states that some football players play cricket, it means there are individuals who are part of both sets: football players and cricket players.
- Statement 2 states that all cricket players play hockey. This means that every cricket player is also a hockey player.
- Combining these two statements, we can conclude that there must be individuals who play both football and hockey. This supports the conclusion that some football players play hockey.
Explanation:
The logical conclusion in option D aligns with the given information. It acknowledges that there are football players who also engage in cricket and, based on statement 2, these cricket players necessarily play hockey as well. Therefore, we can deduce that some football players also play hockey. This conclusion is logical and consistent with the provided statements.
It is important to note that option C, which states that all football players play hockey, cannot be concluded based on the given information. Statement 1 only indicates that some football players play cricket, not all of them. Therefore, option C cannot be considered a valid logical conclusion.
Conclusion:
The logical conclusion that follows from the given statements 1 and 2 is option D: Some football players play hockey. This conclusion is based on the overlap between football players and cricket players, as well as the relationship between cricket players and hockey players established in the statements.
To determine the logical conclusion that follows from the given statements, we need to analyze the information provided and make deductions based on the relationship between the different sports mentioned. Let's break down the statements and analyze them step by step.
Statement 1: Some football players play cricket.
This statement suggests that there is an overlap between the set of football players and cricket players. In other words, there are individuals who are both football players and cricket players. However, it does not imply that all football players play cricket or vice versa.
Statement 2: All cricket players play hockey.
This statement states that every cricket player also plays hockey. It implies that there is a complete overlap between the set of cricket players and hockey players. In other words, if someone is a cricket player, they are also necessarily a hockey player.
Logical Conclusion:
Based on the given statements, we can draw the following logical conclusion:
Option D: Some football players play hockey.
Here's the reasoning behind this conclusion:
- Since statement 1 states that some football players play cricket, it means there are individuals who are part of both sets: football players and cricket players.
- Statement 2 states that all cricket players play hockey. This means that every cricket player is also a hockey player.
- Combining these two statements, we can conclude that there must be individuals who play both football and hockey. This supports the conclusion that some football players play hockey.
Explanation:
The logical conclusion in option D aligns with the given information. It acknowledges that there are football players who also engage in cricket and, based on statement 2, these cricket players necessarily play hockey as well. Therefore, we can deduce that some football players also play hockey. This conclusion is logical and consistent with the provided statements.
It is important to note that option C, which states that all football players play hockey, cannot be concluded based on the given information. Statement 1 only indicates that some football players play cricket, not all of them. Therefore, option C cannot be considered a valid logical conclusion.
Conclusion:
The logical conclusion that follows from the given statements 1 and 2 is option D: Some football players play hockey. This conclusion is based on the overlap between football players and cricket players, as well as the relationship between cricket players and hockey players established in the statements.
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1. Some football players play cricket.2. All cricket players play hockey.Among the options given below, the statement that logically follows from the two statements 1 and 2 above, isa)All hockey players play football.b)No football player plays hockey.c)All football players play hockey.d)Some football players play hockey.Correct answer is option 'D'. Can you explain this answer?
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