Question 66
HardOriginal questionAssume the statements are true.
Statements: Some sofas are not beds. All beds are cots.
Conclusions:
I. All sofas being cots is a possibility.
II. All cots being sofas is a possibility.
Show the answer and explanation
Correct answer: D
Explanation
For I, draw every sofa inside the cot circle, with some sofas in the part that is not beds. Every statement holds, so I follows.
For II, draw the cot circle (with the bed circle inside it) inside a bigger sofa circle, leaving some sofas outside the beds. Every statement holds, so II follows.
Both pictures are valid, so both possibilities follow.
Both I and II follow.
Worth noting
The only fixed fact is that at least one sofa is not a bed. Both pictures keep such a sofa, so neither breaks the statements.
- Concept
- Possibilities with Some … not + All
- Typical timeTypical
- 110 s
- Your timeYours
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