PROBLEM # 1
C, A and T are numbers  between 0 and 9. 
CAT = (C + A + T) × C × A × T
Find C, A and T that satisfy the above equation

PROBLEM #2
ABCDEF × 3 = BCDEFA and A,B,C, D,E and F are numbers between 1 and 9.  What are possible values of ABCDEF?

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Problems from 02/17/11

PROBLEM # 1
When asked about his birthday, a man said: "The day before yesterday I was only 25 and next year I will turn 28." This is true only one day in a year - when was he born?

SOLUTION 1
Dec. 31.
 

PROBLEM #2
What 5-digit number has the following features:  If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.

SOLUTION 2
42857.

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