CAT Exam

ABC is a three digit number in which A is greater than Zero. The value of ABC is equal to the sum of the factorials of its three digits. What is the value of B ?

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CAT Other Question

A car is going around a track that is a square, one mile on a side. If it goes 60 mph around the first two sides and 30 mph on the the third side, how fast must it go to average 60 mph all the way around? In a rectangle the difference between the sum of the adjacent side and the diagonal is half the length of the longer side. What is the ratio of shorter to the longer side ?