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An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.
- a)64, 128
- b)32, 16
- c)32, 128
- d)64, 32
Correct answer is option 'D'. Can you explain this answer?
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An Internet Service Provider (ISP) has a block 219.50.0.0/16. There a...
38 × 210 = [216 – [Group1 + Group2 + Group3]]
38 × 210 = [216 – [27 × 26 + 26 × 28 + 2m × 2n]]
2x × 2y = 216 – 213 – 214 – 38 × 210
= 210[26 – 23 – 24 – 38]
= 210[64 – 8 – 16 – 38] = 210 × 21
2x × 2y = 211
Option (d), which 26 × 25 = 211
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An Internet Service Provider (ISP) has a block 219.50.0.0/16. There a...
To calculate the possible values of X and Y, we need to determine the number of IP addresses required by Group3 and then subtract it from the total number of available IP addresses.
1. Calculate the number of IP addresses required by Group1:
Group1 has 128 customers, and each requires 64 IP addresses.
So, the total number of IP addresses required by Group1 = 128 * 64 = 8192.
2. Calculate the number of IP addresses required by Group2:
Group2 has 64 customers, and each requires 256 IP addresses.
So, the total number of IP addresses required by Group2 = 64 * 256 = 16384.
3. Calculate the total number of IP addresses required by Group1 and Group2:
Total number of IP addresses required = 8192 + 16384 = 24576.
4. Calculate the remaining number of IP addresses:
The ISP has a block 219.50.0.0/16, which provides a total of 2^16 = 65536 IP addresses.
So, the remaining number of IP addresses = 65536 - 24576 = 40960.
5. Determine the values of X and Y:
Since the remaining number of IP addresses is 38K (40960), we need to find the number of customers in Group3 and the number of IP addresses required by each customer.
Let's assume X customers in Group3, and each requires Y IP addresses.
So, the total number of IP addresses required by Group3 = X * Y.
We have the equation: 40960 = X * Y.
To find the possible values of X and Y, we need to factorize 40960.
The prime factorization of 40960 = 2^12 * 5 = 2^6 * 2^6 * 5.
To distribute these factors between X and Y, we can choose any combination such that X * Y = 40960.
One possible combination is X = 64 and Y = 32.
64 * 32 = 2048, which is equal to 40960.
Therefore, the possible values of X and Y are 64 and 32, respectively.
So, the correct answer is option 'D' (64, 32).
1. Calculate the number of IP addresses required by Group1:
Group1 has 128 customers, and each requires 64 IP addresses.
So, the total number of IP addresses required by Group1 = 128 * 64 = 8192.
2. Calculate the number of IP addresses required by Group2:
Group2 has 64 customers, and each requires 256 IP addresses.
So, the total number of IP addresses required by Group2 = 64 * 256 = 16384.
3. Calculate the total number of IP addresses required by Group1 and Group2:
Total number of IP addresses required = 8192 + 16384 = 24576.
4. Calculate the remaining number of IP addresses:
The ISP has a block 219.50.0.0/16, which provides a total of 2^16 = 65536 IP addresses.
So, the remaining number of IP addresses = 65536 - 24576 = 40960.
5. Determine the values of X and Y:
Since the remaining number of IP addresses is 38K (40960), we need to find the number of customers in Group3 and the number of IP addresses required by each customer.
Let's assume X customers in Group3, and each requires Y IP addresses.
So, the total number of IP addresses required by Group3 = X * Y.
We have the equation: 40960 = X * Y.
To find the possible values of X and Y, we need to factorize 40960.
The prime factorization of 40960 = 2^12 * 5 = 2^6 * 2^6 * 5.
To distribute these factors between X and Y, we can choose any combination such that X * Y = 40960.
One possible combination is X = 64 and Y = 32.
64 * 32 = 2048, which is equal to 40960.
Therefore, the possible values of X and Y are 64 and 32, respectively.
So, the correct answer is option 'D' (64, 32).
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An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer?
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An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer?.
An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Internet Service Provider (ISP) has a block 219.50.0.0/16. There are 3 groups, Group1 has 128 customers and each requires 64 IP addresses. Group2 has 64 customers and each requires 256 IP addresses. Group3 has X customers and each requires Y IP addresses. After successfully completing customer requests only 38K IP address left with (ISP)What can be the possible value of X and Y respectively.a)64, 128b)32, 16c)32, 128d)64, 32Correct answer is option 'D'. Can you explain this answer?.
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