Logical Reasoning - Logical Problems - Discussion

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.


Fact 1: Jessica has four children
Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
Fact 3: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?
I: At least one girl has blue eyes.
II: Two of the children are boys.
III: The boys have brown eyes.

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

Answer: Option B


Since one-half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes.

Vikas said: (Sep 18, 2011)  
Please provide ven-digram also in answers of questions like these.

Brent said: (Jan 21, 2015)  
Cross-Genders do exist and are not classified as male or female, this is a possibility so. Therefore whether the remaining two children are boys, is unspecified.

Ananya said: (Jul 20, 2016)  
The answer should be 1 and 2 both which is not given in the option.

Angali said: (Jul 27, 2018)  
1 can also be the answer because out of 4 children 2 children have blue eyes and half of the children are girls. So it could be at least one of the girl have blue eyes.

Am I right? Please explain me.

Jasmine Kaur said: (Sep 27, 2018)  
It should be 1 & 2.

Because out of 4- 2 are girls and also mentioned 2 have blue and 2 have brown eyes. That means one of the girls have blue.

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