Logical Reasoning - Logical Problems - Discussion

Discussion Forum : Logical Problems - Type 4 (Q.No. 5)
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.

5.
Fact 1: All hats have brims.
Fact 2: There are black hats and blue hats.
Fact 3: Baseball caps are hats.
If the first three statements are facts, which of the following statements must also be a fact?
I: All caps have brims.
II: Some baseball caps are blue.
III: Baseball caps have no brims.
I only
II only
II and III only
None of the statements is a known fact.
Answer: Option
Explanation:
All baseball caps have brims, since baseball caps are hats (Fact 3) and all hats have brims (Fact 1). This rules out statement III, but it doesn't follow that all caps, a category that may include caps that are not baseball caps, have brims (statement I). Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black.
Discussion:
15 comments Page 2 of 2.

Teph said:   9 years ago
I had considered Jacob's answer, but went along with the assumption baseball cap = cap.

I guess never assume!
(1)

Sadra said:   9 years ago
Statement 1 isn't a fact since there might be caps without brims; Statement 3 to isn't a fact cause baseball caps are hats and all hats have brims; as for Statement 2 is concerned it too isn't a fact because baseball caps are hats and there are black and blue hats but baseball caps might entirely be black, entirely blue or a mixture of blue and black.

So, I thereby conclude that option D is true i.e none of the statement is a fact.

Mastermind said:   8 years ago
The explanation says:.

"Statement II cannot be confirmed, either, since it is possible, given the information, that all baseball caps are black. ".

Ques- Where was it said that all baseball caps are black!?!
(2)

Niharika said:   7 years ago
There is no information given that all baseball caps are black.

Then how can you say that all baseball cap is black and 2 is wrong? Explain me.
(2)

Dhruv Gandhi said:   3 years ago
1 and 2 are right
(1)


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