All windows are doors.All entrances are windows.No gate is a door.Conclusions:I. At least some windows are gates.II. No gate is an entrance.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Question
All windows are doors.All entrances are windows.No gate is a door.Conclusions:I. At least some windows are gates.II. No gate is an entrance.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Solution 1
The correct answer is "if only conclusion II follows."
Here's the step-by-step reasoning:
-
All windows are doors: This means that whatever is a window is also a door.
-
All entrances are windows: This means that whatever is an entrance is also a window, and since all windows are doors, all entrances are also doors.
-
No gate is a door: This means that gates and doors are mutually exclusive, they do not share any common elements.
Conclusion I: At least some windows are gates. This is not necessarily true because according to statement 3, no gate is a door, and since all windows are doors, no window can be a gate.
Conclusion II: No gate is an entrance. This is true because since all entrances are doors (from statement 2), and no gate is a door (from statement 3), it follows that no gate is an entrance.
Therefore, only conclusion II follows.
Solution 2
The correct answer is "if only conclusion II follows."
Here's the step-by-step reasoning:
-
"All windows are doors." This means that whatever is a window is also a door.
-
"All entrances are windows." This means that whatever is an entrance is also a window, and since all windows are doors, all entrances are also doors.
-
"No gate is a door." This means that gates and doors are mutually exclusive, they don't share any common elements.
Conclusion I: "At least some windows are gates." This conclusion does not follow because according to the statements, gates and doors are mutually exclusive, and since all windows are doors, no window can be a gate.
Conclusion II: "No gate is an entrance." This conclusion follows because since all entrances are doors and no gate is a door, it means no gate can be an entrance.
Similar Questions
Statements:All windows are doors.All entrances are windows.No gate is a door.Conclusions:I. At least some windows are gates.II. No gate is an entrance.
Read the given statements and find which of the conclusions given below, follows them: Statements: 1. All doors are windows. 2. All windows are tables. Conclusions: 1. No table is a door. 2. No window is a door.Choices:- Only (1) follows Only (2) follows Either (1) or (2) follows Neither (1) nor (2) follow
Statements:All bottles are glasses.No cup is a glass. Conclusions:I. No bottle is a cup.II. At least some glasses are bottles.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Statements:Some trees are plants.All bushes are plants.Conclusions:I. At least some trees are bushes.II. Some trees are definitely not bushes.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Statements:Some trees are leaves.No trees is flowers.Conclusions: I. Some flowers are not leaves.II. Some leaves are not flowers.OptionsIf only conclusion I followsIf either conclusion I or conclusion II followsIf both conclusion I and conclusion II followsIf neither conclusion I nor conclusion II followsIf only conclusion II follows
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.