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A number between 1 and 100 is written down on a piece of paper.
Can you figure out the number based on these clues ?
1) Its a two-digit number.
2) The second digit is greater than the first.
3) Its not a Prime number.
4) Its not a perfect square.
5) Its not divisible by 3.
6) It doesn’t contain any 8’s.
7) The sum of the digits is not a prime number.
8) The sum of the digits is not 8.
Answer of the puzzle is 46. Here’s why:
1. It’s a two-digit number: Yes, 46 is a two-digit number.
2. The second digit is greater than the first: Yes, the second digit 6 is greater than the first digit 4.
3. It’s not a prime number: Correct, 46 is not a prime number as it is divisible by 2 and 23.
4. It’s not a perfect square: Correct, 46 is not a perfect square as its square root is irrational.
5. It’s not divisible by 3: Correct, 46 is not divisible by 3.
6. It doesn’t contain any 8’s: Correct, 46 doesn’t contain any 8’s.
7. The sum of the digits is not a prime number: Yes, 4 + 6 = 10, and 10 is not a prime number.
8. The sum of the digits is not 8: Correct, 4 + 6 = 10, and 10 is not equal to 8.
Therefore, 46 also satisfies all the given clues, and it could be the answer.