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Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?
- a)7
- b)8
- c)6
- d)10
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Q. Prashanth wants to distribute 127 one-rupee coins into different pi...
There will be 7 piggy banks with the number ( 1,2,4,8,16,32,64)
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Q. Prashanth wants to distribute 127 one-rupee coins into different pi...
To solve this question, we need to find the minimum number of piggy banks required such that any integer sum from 1 through 127 rupees can be paid without having to break open the piggy banks.
Approach:
Let's first find the minimum number of piggy banks required for the sum of 1 to 7 rupees. We can use the following piggy banks:
Piggy Bank 1: 1 rupee
Piggy Bank 2: 2 rupees
Piggy Bank 3: 4 rupees
Using these piggy banks, we can pay any integer sum from 1 to 7 rupees without having to break open the piggy banks. For example:
1 rupee = Piggy Bank 1
2 rupees = Piggy Bank 2
3 rupees = Piggy Banks 1 and 2
4 rupees = Piggy Bank 3
5 rupees = Piggy Banks 1 and 3
6 rupees = Piggy Banks 2 and 3
7 rupees = Piggy Banks 1, 2 and 3
Now, let's extend this approach to find the minimum number of piggy banks required for the sum of 1 to 127 rupees. We can use the following piggy banks:
Piggy Bank 1: 1 rupee
Piggy Bank 2: 2 rupees
Piggy Bank 3: 4 rupees
Piggy Bank 4: 8 rupees
Piggy Bank 5: 16 rupees
Piggy Bank 6: 32 rupees
Piggy Bank 7: 64 rupees
Using these piggy banks, we can pay any integer sum from 1 to 127 rupees without having to break open the piggy banks. For example:
1 rupee = Piggy Bank 1
2 rupees = Piggy Bank 2
3 rupees = Piggy Banks 1 and 2
4 rupees = Piggy Bank 3
5 rupees = Piggy Banks 1 and 3
6 rupees = Piggy Banks 2 and 3
7 rupees = Piggy Banks 1, 2 and 3
...
127 rupees = Piggy Banks 1, 2, 3, 4, 5, 6 and 7
Therefore, the minimum possible number of piggy banks required is 7, which is option (a).
Approach:
Let's first find the minimum number of piggy banks required for the sum of 1 to 7 rupees. We can use the following piggy banks:
Piggy Bank 1: 1 rupee
Piggy Bank 2: 2 rupees
Piggy Bank 3: 4 rupees
Using these piggy banks, we can pay any integer sum from 1 to 7 rupees without having to break open the piggy banks. For example:
1 rupee = Piggy Bank 1
2 rupees = Piggy Bank 2
3 rupees = Piggy Banks 1 and 2
4 rupees = Piggy Bank 3
5 rupees = Piggy Banks 1 and 3
6 rupees = Piggy Banks 2 and 3
7 rupees = Piggy Banks 1, 2 and 3
Now, let's extend this approach to find the minimum number of piggy banks required for the sum of 1 to 127 rupees. We can use the following piggy banks:
Piggy Bank 1: 1 rupee
Piggy Bank 2: 2 rupees
Piggy Bank 3: 4 rupees
Piggy Bank 4: 8 rupees
Piggy Bank 5: 16 rupees
Piggy Bank 6: 32 rupees
Piggy Bank 7: 64 rupees
Using these piggy banks, we can pay any integer sum from 1 to 127 rupees without having to break open the piggy banks. For example:
1 rupee = Piggy Bank 1
2 rupees = Piggy Bank 2
3 rupees = Piggy Banks 1 and 2
4 rupees = Piggy Bank 3
5 rupees = Piggy Banks 1 and 3
6 rupees = Piggy Banks 2 and 3
7 rupees = Piggy Banks 1, 2 and 3
...
127 rupees = Piggy Banks 1, 2, 3, 4, 5, 6 and 7
Therefore, the minimum possible number of piggy banks required is 7, which is option (a).
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Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer?
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Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer?.
Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer?.
Solutions for Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT.
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Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Q. Prashanth wants to distribute 127 one-rupee coins into different piggy-banks so that any integer sum from 1 through 127 rupees can be paid by just handing over few or all the piggy banks without having to break open the piggy banks. What is the minimum possible number of piggy banks required?a)7 b)8c)6 d)10Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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