How Many Socks Must a Blind Man Take to Guarantee a Matching Pair?

  • Thread starter tommybell
  • Start date
  • Tags
    Quiz
In summary, the blind man needs to take at least 5 socks to his friend's house to ensure he has a matching pair. If he wants a dark matching pair, he needs to take at least 10 socks. Adding two more dark blue socks to the draw does not change the minimum number of socks he needs to take.
  • #1
tommybell
1
0
I have below logical quiz but can not seem to find a reasonable answer.
Any comment or help will be appriciated.

--------------------------------------------------------------------------
A blind man has a draw of socks with 2 dark blue socks, 3 yellow socks, 2 brown socks, and 4 white socks randomly scattered. He has an important function and wants to wear matching socks so decides he will select a number of socks and stop at a sighted friends house on the way that can help him select a matching pair for the function.

1. What is the least number of socks he need to take to his friend’s house to ensure he has a matching pair?


2, What is the least number of socks he needs to take to his friend’s house to ensure he has a ‘dark’ matching pair?


3. Our blind friend is given two more socks, both the same dark blue colour, that he adds to the draw. The next day he is in the same predicament, an important function and he wants to have matching socks. How have the answers to questions one and two changed? Why?

-------------------------------------------------------------------
 
Mathematics news on Phys.org
  • #2
1. If he chooses 5 socks, then is ought to have a pair since you cannot have 5 different colors of socks.

2. If he chooses 4 + 3 = 7 socks, they could all be light. He thus needs to choose more. If he chooses 7 + 2 = 9, the the two extra could be of different color. So that gives us 7 + 3 = 10, since in 3 selections, two have to be of the same color.

3. See above; everything said still applies, nothing changes.
 
Last edited:
  • #3
A question... what do you mean by say 3 yellow socks?

is it 3 pairs of yellow socks or just 3 single socks?
 
  • #4
mubashirmansoor said:
A question... what do you mean by say 3 yellow socks?

is it 3 pairs of yellow socks or just 3 single socks?

It says it clearly...
 
  • #5
Werg22 said:
It says it clearly...

So... which one? :confused:
 
  • #6
mubashirmansoor said:
So... which one? :confused:
1 single yellow sock + 1 single yellow sock + 1 single yellow sock = 3 yellow socks.
 

Related to How Many Socks Must a Blind Man Take to Guarantee a Matching Pair?

1. What is a logical quiz?

A logical quiz is a series of questions or problems designed to test a person's ability to think logically and solve problems using deductive reasoning. It often includes questions that require the test-taker to analyze information, make inferences, and draw conclusions based on given premises.

2. How can I improve my logical reasoning skills?

To improve your logical reasoning skills, you can practice solving logical puzzles and problems, read books or articles on logic and deductive reasoning, and engage in activities that require critical thinking. You can also work on improving your mathematical and analytical skills, as these are closely related to logical thinking.

3. Can logical quizzes help in real-life situations?

Yes, the skills and techniques used in logical quizzes can be applied to real-life situations. Logical thinking and problem-solving are important skills in many fields, including science, mathematics, business, and law. By practicing logical quizzes, you can improve your ability to make sound decisions, analyze information, and solve problems effectively in your daily life.

4. Are there different types of logical quizzes?

Yes, there are various types of logical quizzes, including deductive reasoning, inductive reasoning, syllogisms, and logical puzzles. Each type tests a different aspect of logical thinking and can be used for different purposes. For example, deductive reasoning is often used in mathematical and scientific fields, while logical puzzles are more commonly used for recreational purposes.

5. Can anyone become good at logical quizzes?

Yes, anyone can improve their logical reasoning skills with practice and effort. While some people may have a natural inclination towards logical thinking, it is a skill that can be learned and developed by anyone. By regularly engaging in logical quizzes and exercises, you can strengthen your logical thinking abilities and become better at solving problems and making logical decisions.

Similar threads

MHB Solve Pigeon Hole Theory Problems
    • Set Theory, Logic, Probability, Statistics
Replies
1
Views
2K
A How Many Hidden Variables Would It Take to Model Photon Polarization?
    • Quantum Interpretations and Foundations
2
Replies
45
Views
4K
I How do you understand EPR & Bell's Theorem?
    • Quantum Physics
2
Replies
47
Views
4K
What's the answer to this logic quiz?
    • General Discussion
Replies
30
Views
14K
The Scientist as Hero - or not
    • Art, Music, History, and Linguistics
Replies
1
Views
1K
B Further Understanding Simultaneity Conventions
    • Special and General Relativity
2
Replies
51
Views
2K
Lightbulb Jokes - How Many Does it Take?
    • General Discussion
Replies
2
Views
3K
Test Your Knowledge of Dictator Literature
    • General Discussion
Replies
10
Views
2K
Did the 1883 Krakatoa Explosion Leave Ships in Peril?
    • Earth Sciences
Replies
16
Views
5K
Three new books to read about expertise vs. democracy
    • General Discussion
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top