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THE CRIMINAL SHOULD OPEN DOOR NUMBER 2. IF THE 1ST STATEMENT IS TRUE, THEN THE 2ND STATEMENT WILL ALSO BE TRUE. SO WE CAN CONCLUDE THAT THE 2ND STATEMENT IS TRUE AND THE 1ST STATEMENT IS FALSE. FROM THE 2ND STATEMENT, WE KNOW THAT THERE IS A LADY IN ONE OF THE ROOMS AND A TIGER IS IN THE OTHER ROOM. THE LADY HAS TO BE BEHIND DOOR 2 AS THE FIRST STATEMENT IS NOT TRUE THE DAUGHTER SHOULD PICK ENVELOPE 1. STATEMENTS 1 AND 2 ARE FALSE, AND THE ONLY TRUE STATEMENT IS STATEMENT 3. IF THE CHECK WAS IN ENVELOPE 1, THAT WOULD MAKE STATEMENT 1 AND STATEMENT 2 FALSE AND STATEMENT 3 WOULD BE THE ONLY TRUE STATEMENT. IF THE CHECK WAS IN ENVELOPE 2, BOTH STATEMENTS 1 AND 2 WOULD BE TRUE. IF THE CHECK WAS IN ENVELOPE 3, BOTH STATEMENTS 1 AND 3 WOULDBE TRUE 50 STATEMENTS ARE CORRECT AND 50 ARE INCORRECT. STATEMENTS 1 TO 50 ARE TRUE AND STATEMENTS 51 TO 100 ARE FALSE. IF ANY ONE OF THE STATEMENTS IS TRUE, THEN ALL OF THE STATEMENTS NUMBERED LOWER THAN THAT ONE MUST ALSO BE TRUE, BECAUSE THE TERM "AT LEAST" IS INCLUSIVE OF A FEWER NUMBER, AND THEY ARE NUMBERED IN ASCENDING ORDER. ASSUMING STATEMENT 1 IS TRUE; THEN STATEMENT 100 IS FALSE. ASSUMING STATEMENTS 1-2 ARE TRUE; THEN STATEMENTS 99-100 ARE FALSE. ASSUMING STATEMENTS 1-3 ARE TRUE; THEN STATEMENTS 98-100 ARE FALSE. ASSUMING STATEMENTS 1-4 ARE TRUE; THEN STATEMENTS 97-100 ARE FALSE. ... ASSUMING STATEMENTS 1-50 ARE TRUE; THEN STATEMENTS 51-100 ARE FALSE. STATEMENT 99 WILL BE THE ONLY CORRECT STATEMENT IF THE TERMS "AT LEAST" ARE REPLACED WITH THE TERM "EXACTLY.", E.G. "EXACTLY 99 OF THESE STATEMENTS ARE FALSE." MARY IS NOT A NURSE. THE WAY TO SOLVE THIS RIDDLE, IS TO CONSIDER STATEMENTS 4, 5, AND 6 AND CREATE A CHART OF ALL POSSIBLE TRUE AND FALSE ANSWERS. NEXT, FILL IN THE CHART ACCORDING TO STATEMENTS 1 THROUGH 3. YOU WILL DISCOVER THAT THERE IS ONLY ONE LINE WHERE ONLY ONE OF STATEMENTS ONE, TWO AND THREE ARE TRUE. THUS, IT IS DETERMINED THAT: STATEMENT 4 AND 5 ARE FALSE AND STATEMENT 6 IS TRUE