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APMOPS 2006 Question 19

APMOPS · APMOPS 2006

Question 19

There are 3 boxes. One box contains a white ball, one a black ball and one a doll. A sentence is written on the cover lid of each box. The sentence on the box containing the white ball is always true. The sentence on the box containing the black ball is always false. The sentence on the box containing the doll can be true or false.

Box 1: The sentence written on Box 2 is true.

Box 2: Box 1 contains a black ball.

Box 3: The doll is in Box 1.

Which box contains the doll? Enter the box number.