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Robi takes 3 minutes to inspect a car , and Sashi takes 4 minutes to inspect a car . If they both start inspecting different cars at 8:30 AM, what would be the ratio of the number of cars inspected by Robi and Sashi by 8:54 AM of the same day ?

Correct Answer: 4:3
(8:54 - 8:30) = 24 Robi's cars = 24/3 = 8 Sashi's cars = 24/4 = 6 Ratio = 8:6 = 4:3

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Amitabh picks a random integer between 1 and 999, doubles it and gives the result to Sashi. Each time Sashi gets a number from Amitabh, he adds 50 to the number, and gives the result back to Amitabh, who doubles the number again. The first person, whose result is more than 1000, loses the game. Let 'X' be the smallest initial number that results in a win for Amitabh. The sum of the digit of 'X' is: