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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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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.
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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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