Question 4
Đắc, Lan and Hương challenge you to guess a number. They give the following information.
Đắc says:
- It has one digit.
- It is divisible by 5.
Hương says:
- It has one digit.
- Its remainder when divided by 9 is 8.
Lan says:
- It has two digits.
- It is divisible by 3.
- It is divisible by 8.
To make the puzzle difficult, each friend deliberately makes exactly one false statement. What is the number? Explain why.
Đắc says:
- It has one digit.
- It is divisible by 5.
Hương says:
- It has one digit.
- Its remainder when divided by 9 is 8.
Lan says:
- It has two digits.
- It is divisible by 3.
- It is divisible by 8.
To make the puzzle difficult, each friend deliberately makes exactly one false statement. What is the number? Explain why.