Fact-1 : Jessica has four children.
Fact-2 : Two children have blue eyes and two children have brown eyes.
Fact-3 : Half of the children are girls.
Statement-I : At least one girl has blue eyes.
Statement-II : Two of the children are boys.
Statement-III : The boys have brown eyes.
To solve this question, let's carefully analyze the given facts and statements:
- Fact-1: Jessica has four children.
- Fact-2: Two children have blue eyes and two children have brown eyes. This means there's an even split in eye color among the children.
- Fact-3: Half of the children are girls. With four children in total, this means Jessica has 2 girls and 2 boys.
Now, let's evaluate each statement:
- Statement-I: "At least one girl has blue eyes."
- From Fact-2, we know there are two children with blue eyes. However, Fact-3 states that only half of the children are girls, meaning we cannot definitively conclude that one of the girls has blue eyes. It's possible both girls have brown eyes. Thus, Statement-I may or may not be true based on the facts provided.
- Statement-II: "Two of the children are boys."
- Fact-3 tells us that half of the children are girls. Since there are four children, half being girls implies there are 2 girls and therefore, 2 boys. Thus, Statement-II is true according to the given facts.
- Statement-III: "The boys have brown eyes."
- Fact-2 tells us that there are two children with brown eyes but does not specify whether these children are boys or girls. Therefore, we cannot conclude from the given facts that the boys have brown eyes, making Statement-III ambiguous.
Conclusion: The only statement that can be conclusively determined based on the given facts is Statement-II. Therefore, the correct option is "II only".
Important Questions from Critical Reasoning
Directions: A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance with commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement.
Statement: Many students are addicted to mobile games and this leads to poor academic performance.
Inference:
I. Many Students are not paying attention to studies due to mobile games.
II. It is only because of mobile games that students fail in the examination.
'Little knowledge is a dangerous thing' is a decision based on:
It is better to spend the leftovers after saving. Financial discipline and self-control can make you rich. Saving money after spending is not a good habit. Which among the following statements is true as per the statement?
A. If you spend first then you will be spendy.
B. If you save before spending, you will become rich.
C. If you spend before saving, you will be poor.
D. Saving by borrowing is a bad habit.
Which of the following is the assumption for the claim that 'Pleasure is desirable'?
Read the given statements carefully and answer the questions.
Fear of danger is more dangerous than danger itself. Risk is directly proportional= to danger
Which of the following are true according to the given statements?
A. Fear is worse than any fearful threat.
B. There is a trade-off between risk and danger.
C. There should be fear of danger.
D. There is no need to take risks to overcome any danger.
