SSC Exam > SSC Questions > A card-board box contains 12 pairs, each of ...
Start Learning for Free
A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?
- a)3
- b)13
- c)25
- d)37
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A card-board box contains 12 pairs, each of three different types of ...
Let there are 3 types of gloves i.e. A, B, and C.
View all questions of this test
In the worst case, in the first 36 selections all left hand gloves would be selected. Now when we select the one more glove then a pair is formed. So, a minimum of 37 gloves should be selected to form a pair.
Most Upvoted Answer
A card-board box contains 12 pairs, each of three different types of ...
Understanding the Problem
To solve the problem of finding a perfect pair of gloves from a mixed collection, we must consider the worst-case scenario in order to determine the minimum number of gloves needed.
Glove Composition
- There are 12 pairs of gloves.
- Each pair consists of 3 different types (Type A, Type B, Type C).
- This means there are a total of 12 gloves of each type.
Worst-Case Scenario
In the worst-case scenario, you may draw gloves without forming a perfect pair. Here’s how it can unfold:
1. Drawing Gloves: You could first draw 12 gloves of Type A, then 12 gloves of Type B, and finally 12 gloves of Type C.
2. Total Drawn: By this time, you have drawn 36 gloves (12 of each type) without forming a perfect pair.
Ensuring a Perfect Pair
- After drawing 36 gloves, you still wouldn’t have a pair because you could have only drawn one of each glove type.
- When you draw the 37th glove, it must match with one of the gloves you have already drawn.
Conclusion
- To guarantee at least one perfect pair of gloves, you need to draw a minimum of 37 gloves.
- Thus, the correct answer is option 'D': 37 gloves.
By following this reasoning, you can ensure that you will end up with one perfect pair of gloves, regardless of the order in which you draw them.
To solve the problem of finding a perfect pair of gloves from a mixed collection, we must consider the worst-case scenario in order to determine the minimum number of gloves needed.
Glove Composition
- There are 12 pairs of gloves.
- Each pair consists of 3 different types (Type A, Type B, Type C).
- This means there are a total of 12 gloves of each type.
Worst-Case Scenario
In the worst-case scenario, you may draw gloves without forming a perfect pair. Here’s how it can unfold:
1. Drawing Gloves: You could first draw 12 gloves of Type A, then 12 gloves of Type B, and finally 12 gloves of Type C.
2. Total Drawn: By this time, you have drawn 36 gloves (12 of each type) without forming a perfect pair.
Ensuring a Perfect Pair
- After drawing 36 gloves, you still wouldn’t have a pair because you could have only drawn one of each glove type.
- When you draw the 37th glove, it must match with one of the gloves you have already drawn.
Conclusion
- To guarantee at least one perfect pair of gloves, you need to draw a minimum of 37 gloves.
- Thus, the correct answer is option 'D': 37 gloves.
By following this reasoning, you can ensure that you will end up with one perfect pair of gloves, regardless of the order in which you draw them.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer?
Question Description
A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer?.
A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer?.
Solutions for A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A card-board box contains 12 pairs, each of three different types of hand gloves used by batsmen in Cricket. They are separated into single units of gloves and all mixed. You cannot see the gloves from outside, but you can put your hands through the pigeon hole and take out one glove at a time. What will be the minimum number of gloves one should take out to get one perfect pair of gloves to be sure?a)3b)13c)25d)37Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup