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The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49?
Most Upvoted Answer
The difference between the number of numbers from 2 to 100 which are n...
From 2 to 100 we have 99 numbers.
Numbers which are not divisible by any other number except 1 and themselves or Prime numbers = 25
other numbers are = 99-25 = 74
Difference = 74-25 = 49
Community Answer
The difference between the number of numbers from 2 to 100 which are n...
Understanding the Problem
To find the difference between prime numbers and composite numbers from 2 to 100, we need to identify both sets clearly.
Prime Numbers (2 to 100)
- A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself.
- The prime numbers between 2 and 100 are:
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
- Total count of prime numbers: 25
Composite Numbers (2 to 100)
- A composite number is a positive integer that has at least one positive divisor other than one or itself.
- The composite numbers from 2 to 100 include:
- 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100
- Total count of composite numbers: 75
Calculating the Difference
- Difference = Number of composite numbers - Number of prime numbers
- Difference = 75 - 25 = 50
Final Answer
The difference between the number of prime numbers and composite numbers from 2 to 100 is 50. Thus, the correct answer is (B) 50.
To find the difference between prime numbers and composite numbers from 2 to 100, we need to identify both sets clearly.
Prime Numbers (2 to 100)
- A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself.
- The prime numbers between 2 and 100 are:
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
- Total count of prime numbers: 25
Composite Numbers (2 to 100)
- A composite number is a positive integer that has at least one positive divisor other than one or itself.
- The composite numbers from 2 to 100 include:
- 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100
- Total count of composite numbers: 75
Calculating the Difference
- Difference = Number of composite numbers - Number of prime numbers
- Difference = 75 - 25 = 50
Final Answer
The difference between the number of prime numbers and composite numbers from 2 to 100 is 50. Thus, the correct answer is (B) 50.
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The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49?
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The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49?.
The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the number of numbers from 2 to 100 which are not divisible by any other number except 1 and it self and the numbers which are divisible by at least one more number along with one and itself (A)25 (B) 50 (C)49?.
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