Logic
# Grid Puzzles

May 15 | May 16 | May 19 |

June 17 | June 18 | |

July 14 | July 16 | |

August 14 | August 15 | August 17 |

Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively.

Albert: I don't know when Cheryl's birthday is, but I know that Bernard does not know too.

Bernard: At first I don't know when Cheryl's birthday is, but I know now.

Albert: Then I also know when Cheryl's birthday is.

So, when is Cheryl's birthday?

\[\begin{matrix} \textbf{Andy}: & \textit{(A1)} & \text{The number is less than 12}\\ & \textit{(A2)} & \text{7 does not divide the number}\\ & \textit{(A3)} & \text{5 times the number is less than 70}\\ \textbf{Becky}: & \textit{(B1)} & \text{12 times the number is greater than 1000}\\ & \textit{(B2)} & \text{10 divides the number}\\ & \textit{(B3)} & \text{The number is greater than 100}\\ \textbf{Chloe} : & \textit{(C1)} & \text{4 divides the number}\\ & \textit{(C2)} & \text{11 times the number is less than 1000}\\ & \textit{(C3)} & \text{9 divides the number}\\ \textbf{Danny} : & \textit{(D1)} & \text{The number is less than 20}\\ & \textit{(D2)} & \text{The number is a prime number}\\ & \textit{(D3)} & \text{7 divides the number} \end{matrix}\]

What is their favorite number?

Let the number that takes place of the cell marked \(A\) be denoted \(A\), and so forth.

What is the value of \(A+B+C\)?

- The blue number tells the number of colors in my guess that exist in the secret pattern, which are also correct in position.
- The white number tells the number of colors in my guess that exist in the secret pattern, but which are incorrect in position.

When where there should be a number, it is empty instead, the number is assumed to be zero.

What is the secret pattern? Enter your answer in order from left to right, translating the color to a digit code according to this table:

Color | Green | Blue | Yellow | White |

Code | 1 | 2 | 3 | 4 |

Color | Black | Red | Purple | Orange |

Code | 5 | 6 | 7 | 8 |

As an example, if the answer is orange-blue-yellow-white-black, enter \(82345\).

If my house number is a multiple of 3, then it is a number from 50 to 59.

If my house number is not a multiple of 4, then it is a number from 60 to 69.

If my house number is not a multiple of 6, then it is a number from 70 to 79.

Can you determine the professor's house number?

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