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Logical Reasoning :: Logical Problems

Directions To Solve

The logic problems in this set present you with three true statements: Fact 1, Fact 2, and Fact 3. Then, you are given three more statements (labeled I, II, and III), and you must determine which of these, if any, is also a fact. One or two of the statements could be true; all of the statements could be true; or none of the statements could be true. Choose your answer based solely on the information given in the first three facts.

  1. Fact 1: Islands are surrounded by water.
    Fact 2: Maui is an island.
    Fact 3: Maui was formed by a volcano.
    If the first three statements are facts, which of the following statements must also be a fact?
    I: Maui is surrounded by water.
    II: All islands are formed by volcanoes.
    III: All volcanoes are on islands.

  2. A.
    I only
    B.
    II only
    C.
    II and III only
    D.
    None of the statements is a known fact.

  3. Fact 1: Robert has four vehicles.
    Fact 2: Two of the vehicles are red.
    Fact 3: One of the vehicles is a minivan.
    If the first three statements are facts, which of the following statements must also be a fact?
    I: Robert has a red minivan.
    II: Robert has three cars.
    III: Robert's favorite color is red.

  4. A.
    I only
    B.
    II only
    C.
    II and III only
    D.
    None of the statements is a known fact.