Multiple choice general knowledge math & puzzles

Class A has a higher enrollment than Class B. Class C has a lower enrollment than Class B. Class A has a lower enrollment than Class C. If the first two statements are true, the third statement is

  1. true

  2. false

  3. uncertian

  4. none

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From the first two statements, we deduce the enrollment order: A > B > C. The third statement claims 'A has lower enrollment than C,' which is the opposite of what we know (A > C). Therefore, the statement is false. This is a contradiction detection problem with ordered rankings.

AI explanation

To determine the validity of the third statement, let's analyze the given information:

Statement 1: Class A has a higher enrollment than Class B. Statement 2: Class C has a lower enrollment than Class B.

From these two statements, we can infer that Class A > Class B > Class C.

However, the third statement contradicts this order by stating that Class A < Class C. Since this contradicts the previous information, the third statement must be false.

Therefore, the correct answer is B) false.