Logic Puzzle
Tests an AI's ability to solve a simple but potentially confusing logic puzzle
The Prompt
Sally (a girl) has 3 brothers. Each brother has 2 sisters. How many sisters does Sally have?
Model Responses
Sally has only one sister.
Explanation:
- Sally has 3 brothers.
- Each brother has 2 sisters.
- The two sisters are Sally and one other girl.
Thus, Sally has 1 sister.
Let me help solve this word problem step by step.
Let's break it down:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
The key insight here is that if each brother has 2 sisters, and we know Sally is one of those sisters, then all brothers must share the same sisters.
Since each brother has 2 sisters total, and we know Sally is one of them, there must be one other sister.
Therefore, Sally has 1 sister.
To verify:
- Sally + her 1 sister = 2 sisters total
- This matches the fact that each of the 3 brothers has 2 sisters
The answer is 1 sister.
This is an interesting logical reasoning problem! Let's work through it step by step.
We know:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
The key insight is that Sally herself counts as a sister to her brothers. So when we're told that "each brother has 2 sisters," Sally is one of those sisters.
Since each brother has 2 sisters total, and Sally is one of them, that means each brother has 1 sister besides Sally.
But all brothers share the same sisters (they're all siblings in the same family). So if Sally has 3 brothers, and each brother has the same 2 sisters (Sally and someone else), then Sally has exactly 1 sister.
Therefore, Sally has 1 sister.
To solve this problem, I need to analyze the relationships carefully.
Given:
- Sally (a girl) has 3 brothers
- Each brother has 2 sisters
Since Sally is a girl, she counts as a sister to her brothers. So each of Sally's brothers has Sally as one of their sisters.
If each brother has 2 sisters total, and one of those sisters is Sally, then there must be exactly 1 other sister that all the brothers share.
Therefore, Sally has 1 sister.
Sally has 3 brothers. Each brother has 2 sisters. Since Sally is one sister, there must be one more sister to make the total number of sisters each brother has equal to 2. Therefore, Sally has 1 sister.
Answer: Sally has 1 sister.
Sally has one sister. All of Sally's brothers share the same two sisters: Sally and one other girl.
Here's how to solve this classic riddle:
- Focus on the family: All the brothers and sisters are part of the same family.
- Brothers share sisters: If one brother has 2 sisters, then all the brothers in that family share the same sisters.
Since each brother has 2 sisters, and Sally is a sister in the family, those 2 sisters must include Sally and one other sister.
Therefore, Sally has 2 sisters.
First, note that each of Sally’s three brothers has exactly two sisters. One of those sisters is clearly Sally. Since each brother’s two sisters must be the same two girls for all of them, there must be exactly one other sister besides Sally.
Therefore, Sally has 1 sister.
Sally has 1 sister.
Explanation:
Sally's 3 brothers each have 2 sisters. Since Sally is one of the sisters, there must be one other sister in the family. Thus, aside from Sally, there is one more sister.
Sally has 1 sister.
Explanation:
- Sally has 3 brothers.
- Each brother counts 2 sisters: Sally herself and one more girl.
- Therefore, besides Sally, there is only one other sister.
Let's break down the problem:
- Sally is a girl.
- Sally has 3 brothers.
- Each brother has 2 sisters.
Let's analyze:
Sally's siblings:
- 3 brothers (let's call them B1, B2, B3)
- Sally herself
The brothers' sisters:
- Each brother has 2 sisters.
Who are the possible sisters for each brother?
- Sally is a sister to each brother.
- Are there any other sisters? That's the question!
If Sally is the only girl, then each brother would only have 1 sister (Sally). But the problem says each brother has 2 sisters.
Therefore, there must be another sister besides Sally.
Let's check: Suppose Sally has 1 sister (besides herself). So the siblings are:
- Sally (girl)
- A second sister (let's call her Anna)
- 3 brothers
Children in the family:
- 2 girls (Sally and Anna)
- 3 boys (the brothers)
Now, for each brother:
- Their sisters are Sally and Anna: 2 sisters (matches the problem statement).
So, Sally has 1 sister.
Final answer:
[ oxed{1} ]
Sally has 1 sister.
Sally has no sisters. She is the only girl in her family, as the problem states that she has 3 brothers and they each have 2 sisters, which refers to Sally herself. Therefore, the number of sisters Sally has is 0.
- Participants and Their Relationships:
- Sally is a girl with 3 brothers, so there are 3 boys in the family.
- Each brother (being male) has 2 sisters.
- Determine the Number of Girls:
- Every brother's sisters are the female siblings in the family.
- Since each brother has 2 sisters, there must be 2 girls in total.
- Calculate Sally's Sisters:
- Since Sally is one of the 2 girls, her only sister is the other girl in the family.
- Therefore, Sally has 1 sister.
Answer: Sally has \boxed{1} sister.
Let's break this down step by step. Sally is a girl and has 3 brothers. The problem states that each of these brothers has 2 sisters.
Since Sally herself is one of the sisters (as she is a female sibling to her brothers), there must be one other sister to make the total number of sisters for each brother equal to 2. Therefore, the family consists of 2 girls (Sally and her sister) and 3 boys (Sally's brothers).
From Sally's perspective, the number of sisters she has is the number of other girls in the family besides herself. Since there is 1 other girl, Sally has 1 sister.
Answer: Sally has 1 sister.
Let's break down the problem:
- Sally is a girl.
- She has 3 brothers.
- Each brother has 2 sisters.
Let's name the siblings:
- Sally (girl)
- Brother 1
- Brother 2
- Brother 3
Now, the key: Each brother has 2 sisters.
Since Sally is one of the sisters, let's see if there are more:
Suppose there is only one girl (Sally) in the family.
- Then each brother would have only 1 sister: Sally.
- But the problem says they have 2 sisters each.
Thus, Sally must have one sister (since the brothers must have 2 sisters). Let's call this other sister "Anna".
So the siblings are:
- Sally (girl)
- Anna (girl)
- Brother 1
- Brother 2
- Brother 3
Now, each brother has 2 sisters: Sally and Anna.
So, how many sisters does Sally have?
- Sally's sisters = 1 (Anna).
Final Answer:
Sally has 1 sister.
Sally has 2 sisters.
Here's the reasoning:
- Sally has 3 brothers.
- Each brother has 2 sisters.
- Since Sally is one of those sisters, the other sister is the other girl brothers share.
Therefore, Sally has 2 sisters in total.
Let's analyze the information:
- Sally has 3 brothers.
- Each brother has 2 sisters.
Since Sally is a girl and one of the sisters, for each brother to have 2 sisters, it means there must be a total of 2 sisters in the family (including Sally).
Therefore:
- Total number of sisters = 2
- Sally is one of them
- So, Sally has 1 sister
Answer: Sally has 1 sister.
Sally has exactly one sister. Explanation: the "two sisters" each brother sees are Sally plus one other girl. So there are only two girls in the family – Sally and her one sister.
Let
• S = number of sisters in the family (girls)
• B = number of brothers in the family (boys)
Given
- Sally has 3 brothers ⇒ B = 3.
- Each brother has 2 sisters ⇒ every boy sees exactly 2 girls in the sibling group.
Therefore S = 2.
Since Sally herself is one of those 2 sisters, the number of sisters Sally has (other than herself) is
2 – 1 = 1.
Sally has 1 sister.
Sally has exactly one sister. Although there are two sisters in the family (Sally and her sibling), if you ask "How many sisters does Sally have?" the answer is 1.
Here's how to solve this:
- The brothers all share the same sisters. Sally is one of those sisters.
- Since each brother has 2 sisters, and Sally is one of the sisters, there must be one other sister.
So, Sally has 1 sister.
To solve this problem, we need to find the number of sisters Sally has based on the given information.
Given information:
- Sally has 3 brothers.
- Each brother has 2 sisters.
Step 1: Find the total number of sisters the brothers have. Number of sisters each brother has × Number of brothers = Total number of sisters the brothers have 2 × 3 = 6
Step 2: Since Sally is also a sister to her brothers, we need to subtract 1 from the total number of sisters to find the number of sisters Sally has. Total number of sisters the brothers have - 1 (Sally herself) = Number of sisters Sally has 6 - 1 = 5
Therefore, Sally has 5 sisters.
Sally has 2 sisters.
Sally has 1 sister.
Explanation:
- Sally is a girl.
- She has 3 brothers.
- All the siblings share the same sisters. Since Sally is one of the sisters, and each brother has 2 sisters in total, there must be one other girl besides Sally in the family.
- Therefore, Sally has 1 sister.
Sally has one sister. Since all the brothers share the same sisters, Sally and her sister are the two sisters that each brother has.
Trick question! Sally is a sister herself, and each of her brothers has 2 sisters, but those 2 sisters are the same: Sally and one other sister.
So, Sally has 1 sister.
The answer is 1.
Let's break this down:
- Sally is a girl.
- Sally has 3 brothers.
- These 3 brothers are all part of the same family.
- Each brother shares the same sisters.
- If one brother has 2 sisters, those 2 sisters are Sally and one other girl.
So, Sally has 1 sister.
I need to work through this step-by-step.
Given information:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
Since Sally is one of the sisters that each brother has, and each brother has 2 sisters total, that means th ere must be exactly 2 sisters in the family.
The 2 sisters are:
- Sally
- One other sister
Therefore, Sally has 1 sister.
I need to think through this step-by-step.
Given information:
- Sally is a girl
- Sally has 3 brothers
- Each brother has 2 sisters
Let me work out how many sisters are in the family total.
If each of Sally's 3 brothers has 2 sisters, and all the brothers are in the same family, then there must be 2 sisters total in the family.
Since Sally is one of those sisters, and there are 2 sisters total, Sally must have 1 sister.
Therefore, Sally has 1 sister.
Sally has 1 sister.
Each of Sally's 3 brothers has 2 sisters, which includes Sally herself and her other sister. Since Sally is one of the sisters, she has only 1 sister.
Based on the details in the riddle, Sally has exactly 1 sister.
Quick Explanation
- Sally (a girl) has 3 brothers. That's straightforward.
- Each of those brothers has exactly 2 sisters (female siblings).
- This can only be true if there are exactly 2 girls in the family total (Sally + 1 more).
- Therefore, Sally herself must have exactly 1 sister (the other girl).
Family Breakdown
- Boys: 3 total (Sally's brothers).
- Girls: 2 total (Sally + 1 sister).
- From any brother's perspective: He has 2 brothers (male siblings) and 2 sisters (female siblings). This matches the riddle exactly.
- From Sally's perspective: She has 3 brothers (male siblings) and 1 sister (female sibling). Again, this matches.
If there were more (or fewer) than 2 girls total, the "each brother has 2 sisters" part of the riddle couldn't possibly be true. No other interpretation fits the facts as stated.
Common Mistake to Avoid
Some people misread this type of riddle and try to multiply things (e.g., "3 brothers × 2 sisters each = 6 sisters"), but that's incorrect because it massively overcounts the same sisters. There's no need for math here beyond basic counting of boys vs. girls. The family simply has 3 boys and 2 girls, as explained above.
If this doesn't match what you think the answer is, or if there's more context I'm missing, feel free to reply!
If Sally has 3 brothers and each brother has 2 sisters, it means that Sally is one of the sisters. Therefore, Sally has 1 sister.
If Sally has 3 brothers and each brother has 2 sisters, then Sally must be one of those sisters. Therefore, Sally has 1 sister (herself) plus the other sister that her brothers have, making a total of 1 sister for Sally.
Let's break it down:
- Sally has 3 brothers.
- Each brother has 2 sisters.
Since Sally is one of the sisters, and each brother has 2 sisters, that means there is 1 more sister besides Sally.
✅ Final Answer:
Sally has 1 sister.
This is a bit of a trick question! Here's how to solve it:
- Sally is one of the sisters. The problem states each brother has 2 sisters.
- The sisters share the same brothers. This means the two sisters are the same people.
Therefore, Sally has 1 sister.
This is a classic trick question! Here's how to solve it:
- The key: All the brothers share the same sisters.
- Sally is one of the sisters.
- Each brother has 2 sisters, and one of them is Sally.
Therefore, Sally has 1 sister.
This is a bit of a trick question! Sally is one of the sisters. Since each of her brothers shares the same sisters, there is only one other sister.
So Sally has 1 sister.
Let's break it down:
- Sally is a girl.
- She has 3 brothers.
- Each of her brothers has 2 sisters.
Now, think about the brothers' perspective:
Each brother is a sibling to Sally and shares the same siblings.
So, when it says each brother has 2 sisters, those are the girls in the family. Since Sally is one girl, and there are 2 sisters in total from the brothers' point of view, that means there must be one other girl besides Sally.
Therefore, Sally has 1 sister.
Answer: 1 sister ✅
I need to work through this step-by-step.
Given information:
- Sally has 3 brothers
- Each brother has 2 sisters
Let me think about this carefully:
Since Sally is a girl, she is one of the sisters that each brother has.
If each brother has 2 sisters, and Sally is one of those sisters, then there must be 1 additional sister besides Sally.
Therefore, Sally has 1 sister.
To verify:
- Sally + 1 sister = 2 sisters total
- Each of the 3 brothers has these same 2 sisters
- This matches the given information that each brother has 2 sisters
Sally has 1 sister.
Sally is a girl with 3 brothers, meaning there are 3 male siblings in the family.
Each brother has 2 sisters, which refers to the total number of female siblings from the perspective of any brother.
Since Sally is one of these sisters, there must be one additional sister.
Therefore, there are 2 girls in total: Sally and one other sister.
From Sally's perspective, the number of sisters she has is the total number of female siblings minus herself.
With 2 girls in total, Sally has (2 - 1 = 1) sister.
This can be verified by considering the family composition:
- Girls: Sally and one other sister (e.g., Betty).
- Boys: 3 brothers (e.g., Brother1, Brother2, Brother3).
Sally has 3 brothers, and each brother has 2 sisters (Sally and Betty).
Thus, Sally has 1 sister.
\boxed{1}
Sally has 3 brothers, meaning there are 3 boys in the family. Each brother has 2 sisters, indicating that there are exactly 2 girls in the family. Since Sally is one of the girls, there must be one additional sister. Therefore, Sally has one sister.
This can be verified by considering the family composition:
- Sisters: Sally and one other girl.
- Brothers: 3 boys.
From Sally's perspective:
- She has 3 brothers.
- She has 1 sister (the other girl).
From each brother's perspective:
- They have 2 sisters (Sally and the other girl).
This satisfies both conditions: Sally has 3 brothers, and each brother has 2 sisters.
If there were only one sister (Sally), then each brother would have only one sister, which contradicts the information that each brother has 2 sisters. If there were three sisters, then each brother would have three sisters, which also contradicts the information that each brother has 2 sisters. Thus, there must be exactly two sisters, meaning Sally has one sister.
\boxed{1}
Sally has 3 brothers, meaning there are 3 boys in the family besides Sally. Each brother has 2 sisters, which means there are 2 girls in the family from the perspective of any brother. Since Sally is one of these girls, there must be one other girl in the family.
Therefore, Sally has one sister.
This can be verified by considering the family composition:
- Girls: Sally and one other sister (let's call her Anna).
- Boys: Three brothers.
From Sally's perspective:
- She has 3 brothers (the three boys).
- She has 1 sister (Anna).
From the perspective of any brother:
- They have 2 sisters (Sally and Anna).
The conditions are satisfied: Sally has 3 brothers, and each brother has 2 sisters. If there were only one girl (Sally), each brother would have only one sister, which contradicts the given information. If there were three girls, each brother would have three sisters, which also contradicts the given information. Thus, there must be exactly two girls in the family.
\boxed{1}
This is a bit of a riddle!
Here's how to figure it out:
- The Brothers' Sister: Sally is a girl who has 3 brothers. This means Sally is one of the sisters that each of those brothers has.
- The Other Sisters: The riddle states that each brother has 2 sisters. Since Sally is already one sister, there must be one more sister to make a total of 2 sisters for each brother.
So, Sally has 1 sister.
Let's break it down:
- Sally is a girl.
- She has 3 brothers.
- Each brother has 2 sisters.
Now, since Sally is a girl and she has 3 brothers, those brothers are sharing the same siblings.
The key point: Each brother has 2 sisters.
Since Sally is one of the sisters, and each brother has 2 sisters, that means there must be one other sister besides Sally.
So, total sisters = Sally + 1 other sister = 2 sisters.
Therefore, Sally has 1 sister.
Final Answer: 1 sister ✅
2
Explanation: The three brothers share the same siblings. Each brother has 2 sisters, and one of them is Sally. So there must be exactly 2 girls in the family: Sally plus one other sister. Therefore, Sally has 1 other sister besides herself, which means she has 1 sister? Wait—question asks "How many sisters does Sally have?" Since there are 2 sisters total, and one is Sally, the number of sisters Sally has is 1. Correction: The correct answer is 1.
Sally has 2 sisters.
Reason: “Each brother has 2 sisters.” The brothers are Sally’s 3 brothers. Those brothers’ two sisters must be Sally and one other girl. Therefore, there are 2 girls total among the siblings, so Sally has 1 other sister besides herself. Hence, Sally has 1 sister, but the question asks “How many sisters does Sally have?” Answer: 1.
Correction: The phrasing can be confusing. The correct answer is 1 sister (not 2).
Let me work through this step-by-step.
Sally has 3 brothers.
Each of Sally's brothers has 2 sisters.
Since Sally is a girl, she is one of the sisters that each brother has.
If each brother has 2 sisters total, and Sally is one of them, then there must be 1 other sister besides Sally.
Therefore, Sally has 1 sister.
Sally is one of the two sisters in the family.
Since the family has only two sisters total, Sally has one sister.
Sally has one sister (apart from herself).
Each of her 3 brothers has exactly two sisters. Since the brothers share the same sisters, there are only two sisters in total—the two sisters are Sally and her one sister. Hence, Sally has one sister.
1
Explanation: The three brothers share the same two sisters (Sally and one other girl). Counting sisters for Sally excludes herself, so she has one sister.
1
Explanation: If each brother has 2 sisters, there are exactly 2 sisters in the family. Since Sally is one of the sisters, she has 2 − 1 = 1 sister.
1
Reason: If each of the 3 brothers has 2 sisters, there are exactly 2 girls in the family. One is Sally, so she has 1 sister.
Alright, let's tackle this problem step by step. The question is:
Sally (a girl) has 3 brothers. Each brother has 2 sisters. How many sisters does Sally have?
At first glance, it seems straightforward, but let's break it down to ensure we understand it correctly.
Understanding the Problem
-
Sally's Brothers: We're told that Sally has 3 brothers. So, in the family, there are Sally and her 3 brothers. That's 1 girl (Sally) + 3 boys = 4 children so far.
-
Each Brother's Sisters: Now, it's stated that each brother has 2 sisters. This is where we need to be careful. Who are these sisters?
- One sister is definitely Sally, since she's a girl in the family.
- The other sister must be someone else because the number is 2, not 1.
Identifying the Sisters
Let's list out the siblings based on the information:
- Sally: Girl
- Brother 1: Boy
- Brother 2: Boy
- Brother 3: Boy
Now, for each brother, they have 2 sisters. We know one sister is Sally. So, where does the other sister come from?
This implies there must be another girl in the family besides Sally. Let's call this other sister "Anna" for clarity.
So now, the siblings are:
- Sally: Girl
- Anna: Girl
- Brother 1: Boy
- Brother 2: Boy
- Brother 3: Boy
Now, let's verify:
- Sally's brothers: Brother 1, Brother 2, Brother 3 (3 brothers) — matches the given.
- Each brother's sisters:
- Brother 1's sisters: Sally and Anna (2 sisters)
- Brother 2's sisters: Sally and Anna (2 sisters)
- Brother 3's sisters: Sally and Anna (2 sisters)
This checks out.
Counting Sally's Sisters
Now, the question asks: How many sisters does Sally have?
From our list:
- Sally's siblings: Anna, Brother 1, Brother 2, Brother 3.
- Sisters: Anna.
So, Sally has 1 sister (Anna).
Wait a minute, but earlier we thought there are two sisters (Sally and Anna). But the question is about how many sisters Sally has, not how many sisters there are in total.
Sally is a girl, and Anna is another girl. So, from Sally's perspective, her sister is Anna. She doesn't count herself when counting her sisters.
Verifying the Count
Let me rephrase to ensure clarity:
- Total girls in the family: Sally and Anna (2 girls).
- Total boys in the family: 3 brothers.
For any brother:
- Sisters are Sally and Anna (2 sisters) — matches the given.
For Sally:
- Sisters: Only Anna (since Sally doesn't count herself).
Therefore, Sally has 1 sister.
Potential Missteps
Initially, one might think that since each brother has 2 sisters, and one is Sally, the other must be another sister, leading to the conclusion that there are 2 sisters in total (Sally and one more). Then, when asked how many sisters Sally has, one might mistakenly say 2, counting both Sally and the other sister. But that would be incorrect because Sally cannot be her own sister.
The correct interpretation is that the "2 sisters" each brother has are Sally and one other sister (let's say Anna). Therefore, Sally's sisters are just Anna, making it 1 sister.
Final Answer
After carefully analyzing the information:
Sally has 1 sister.