Statement: Some keys are doorsAll keys are locks.All doors are roomsNo room is a hotelConclusions:I. All hotels being locks is a possibility II. No lock is a door III. No hotel is a doorIV. At least some keys are roomsOptions Only I follow.Only I and III follow.NoneOnly II and IV follow.Only II follow.
Question
Statement: Some keys are doorsAll keys are locks.All doors are roomsNo room is a hotelConclusions:I. All hotels being locks is a possibility II. No lock is a door III. No hotel is a doorIV. At least some keys are roomsOptions Only I follow.Only I and III follow.NoneOnly II and IV follow.Only II follow.
Solution
The given statements are:
- Some keys are doors
- All keys are locks
- All doors are rooms
- No room is a hotel
Let's analyze the conclusions one by one:
I. All hotels being locks is a possibility: This is not possible because no room is a hotel and some keys are doors which are rooms, and all keys are locks. So, there is a connection between rooms and locks, but since no room is a hotel, all hotels being locks is not a possibility.
II. No lock is a door: This is incorrect because some keys are doors and all keys are locks, which means some locks are doors.
III. No hotel is a door: This is correct because no room is a hotel and all doors are rooms, so no hotel can be a door.
IV. At least some keys are rooms: This is correct because some keys are doors and all doors are rooms, so at least some keys are rooms.
So, the correct option is "Only III and IV follow".
Similar Questions
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 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.
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.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
Some mice are keyboards.No keyboard is a key.All keys are rings.Conclusions:I. Some rings are not keyboards.II. All mice being keys is a possibility.if only conclusion I followsif only conclusion II followsif either conclusion I or II followsBoth conclusion I and conclusion II follows.if both conclusions I and II follow
A room in a four-story hotelLaw is applicableLaw isn’t applicableA room in a historic downtown innLaw is applicableLaw isn’t applicableA week stay in a beachside motelLaw is applicableLaw isn’t applicableA church’s clubhouse rented out to membersLaw is applicableLaw isn’t applicable
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.