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Tell the maximum consecutive numbers less than 100 so that there is no prime number between them.
  • a)
    6
  • b)
    5
  • c)
    7
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Tell the maximum consecutive numbers less than 100 so that there is no...
For 7 consecutive composite numbers, there should be 2 prime numbers with atleast a difference of 8. And that's possible only between 89 and 97.
So the numbers are 90,91,92,93,94,95,96.
 
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Tell the maximum consecutive numbers less than 100 so that there is no...
Answer:

To find the maximum consecutive numbers less than 100 so that there is no prime number between them, we need to consider the non-prime numbers.

Non-prime numbers less than 100:
- 1 is not a prime number.
- 4 is not a prime number as it is divisible by 2.
- 6 is not a prime number as it is divisible by 2 and 3.
- 8 is not a prime number as it is divisible by 2.
- 9 is not a prime number as it is divisible by 3.
- 10 is not a prime number as it is divisible by 2 and 5.
- 12 is not a prime number as it is divisible by 2 and 3.
- 14 is not a prime number as it is divisible by 2 and 7.
- 15 is not a prime number as it is divisible by 3.
- 16 is not a prime number as it is divisible by 2.
- 18 is not a prime number as it is divisible by 2 and 3.
- 20 is not a prime number as it is divisible by 2 and 5.
- 21 is not a prime number as it is divisible by 3 and 7.
- 22 is not a prime number as it is divisible by 2 and 11.
- 24 is not a prime number as it is divisible by 2, 3, and 4.
- 25 is not a prime number as it is divisible by 5.
- 26 is not a prime number as it is divisible by 2 and 13.
- 27 is not a prime number as it is divisible by 3.
- 28 is not a prime number as it is divisible by 2, 4, and 7.
- 30 is not a prime number as it is divisible by 2, 3, and 5.
- 32 is not a prime number as it is divisible by 2.
- 33 is not a prime number as it is divisible by 3 and 11.
- 34 is not a prime number as it is divisible by 2 and 17.
- 35 is not a prime number as it is divisible by 5 and 7.
- 36 is not a prime number as it is divisible by 2, 3, 4, and 6.
- 38 is not a prime number as it is divisible by 2 and 19.
- 39 is not a prime number as it is divisible by 3 and 13.
- 40 is not a prime number as it is divisible by 2 and 5.
- 42 is not a prime number as it is divisible by 2, 3, 6, and 7.
- 44 is not a prime number as it is divisible by 2 and 11.
- 45 is not a prime number as it is divisible by 3 and 15.
- 46 is not a prime number as it is divisible by 2 and 23.
- 48 is not a prime number as it is divisible by 2, 3, 4, 6, and 8.
- 49 is not a prime number as it is divisible by 7.
- 50 is not
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Tell the maximum consecutive numbers less than 100 so that there is no...
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