whiff of fresh air

1) A five digit number is represented by ABCDE. If we add the number 1 in front of ABCDE, then times 3, the result number will be ABCDE appended by the number 1 (as shown in the figure). What is this five digit number?

1ABCDE

X 3

ABCDE1

2) Find the value of A and C to make the following equation. A and C are single digit numbers.

A x C x AC = CCC

3) Change the letters into numbers, and all the same letters

have to be the same number, so that the addition is correct.

S E N D

+ M O R E

M O N E Y

A market researcher knocks on a door and enquires about the children and their ages in the family. The woman who answered the door informed him that she has three children and the product of their age is 36. She also gave an additional clue that the sum of their ages is the same as their neighbors house number. The market researcher goes to the next house, checks on the house no, comes back to this woman and tells her that she hasnt given enough information. Apologetically, the woman tells him sorry and says that her elder daughter is sleeping on the first floor of her house. What are the ages of the three children?

You want to send a valuable object to a friend. You have a box to contain the object. The box has a locking ring which is more than large enough to have a lock attached. You and your friend have several locks with keys. But your friend does not have the key to any lock that you have, and vice versa. How do you do it? Note that you cannot send a key in an unlocked box, since it might be copied.

3.

Ten True Sentences Puzzle:

Take a look at the following sentences:

· The number of times the digit 0 appears in this puzzle is _____.

·