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?

  1. A.

    2nd floors do not have lifts

  2. B.

    7th floors have lifts

  3. C.

    Only floors above the 3rd floors have lifts

  4. 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.

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