Many business offices are located in buildings having 2-8 floors. If a…
2025
Many business offices are located in buildings having 2-8 floors. If a building has more than 3 floors, it has a lift. If the above statements are true, which of the following must be true?
- A.
2nd floors do not have lifts
- B.
7th floors have lifts
- C.
Only floors above the 3rd floors have lifts
- D.
All floors may be reached by lifts
Attempted by 127 students.
Show answer & explanation
Correct answer: B
The problem states that any building with more than 3 floors must have a lift. To determine which statement must be true, we analyze the options based on this rule.\nOption B is correct because a building with a 7th floor necessarily has at least 7 floors. Since 7 is greater than 3, the condition 'more than 3 floors' is satisfied. Therefore, such a building must have a lift, making the presence of lifts on 7th floors logically necessary.\nOption A is incorrect because buildings with exactly 2 or 3 floors are not required to have lifts, but the statement implies they definitely do not, which is an assumption. Option C is wrong because it claims only floors above the 3rd have lifts, ignoring that buildings with more than 3 floors might also have lifts on lower floors. Option D is too broad, as buildings with only 2 or 3 floors might not have lifts at all. Thus, Option B is the only statement that must be true based on the given premises.