Given three statements about phones, TVs, big things, and cars, determine which conclusions logically follow assuming the statements are true.

Statements:
All phones are TVs.
Some TVs are big.
Some big are cars.

Conclusions:
I. Some TVs are phones.
II. Some big are TVs.
III. All big are cars.

Question

Given three statements about phones, TVs, big things, and cars, determine which conclusions logically follow assuming the statements are true.

Statements:
All phones are TVs.
Some TVs are big.
Some big are cars.

Conclusions:
I. Some TVs are phones.
II. Some big are TVs.
III. All big are cars.

Accepted Answer

Step 1: Analyze the statements:
- All phones are TVs. (Means every phone is included in TVs)
- Some TVs are big. (There is an overlap between TVs and big things)
- Some big are cars. (There is an overlap between big things and cars)

Step 2: Analyze conclusions:
I. Some TVs are phones.
- Since all phones are TVs, at least some TVs must be phones. So, conclusion I follows.

II. Some big are TVs.
- Given 'Some TVs are big' means there is an intersection between TVs and big things, so some big things are TVs. Conclusion II follows.

III. All big are cars.
- The statement says 'Some big are cars', which means only some big things are cars, not all. So conclusion III does not follow.

Therefore, only conclusions I and II logically follow.

Answer

Answer

Answer