The image contains a mathematical problem in Hindi. I will transcribe and translate the content to solve it.

Transcription (in Hindi): "(क) 2 से 100 के बीच में कितने अभाज्य संख्याएँ हैं? (ख) 1 से 100 के बीच कितनी अभाज्य संख्याएँ हैं?"

Translation (in English): "(a) How many composite numbers are there between 2 and 100? (b) How many prime numbers are there between 1 and 100?"

Solutions:

1. (a) Composite numbers between 2 and 100:

Composite numbers are numbers that have more than two factors. They are not prime numbers.

• 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.
  There are 25 prime numbers between 1 and 100.

• Total numbers between 2 and 100 = 99 numbers (from 2 to 100).

• Number of composite numbers = Total numbers - Prime numbers
  = 99 - 25
  = 74.

Answer: There are 74 composite numbers between 2 and 100.

2. (b) Prime numbers between 1 and 100:

As listed above, the prime numbers between 1 and 100 are the same 25 primes mentioned.

Answer: There are 25 prime numbers between 1 and 100.

Would you like to see more details or have any questions?

Here are some related questions you might consider:

1. What is the definition of prime and composite numbers?
2. How can you identify prime numbers efficiently?
3. What is the Sieve of Eratosthenes method for finding prime numbers?
4. How many prime numbers are there between 100 and 200?
5. What are the properties of composite numbers?

Tip: The Sieve of Eratosthenes is a great method for finding all prime numbers up to a certain limit!