CAT Exam

Let the number of white vessels needed be n! for the emptying process described above, if the
volume of each white vessel is 2litres. Among the following values, which is the least upper
bound on n! ?
(1) m/4
(2) smallest integer greater than or equal to n/2
(3) n
(4) Greatest integer less than or equal to 1/4

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CAT Other Question

Without counting Saturdays and Sundays, my grandfather said he was 84 years old. How old my grandfather really was? There are two containers: the first contains 500 ml of alcohol, while the second contains 500 ml
of water. Three cups of alcohol from the first container is taken out and is mixed well in the
second container. Then, three cups of this mixture is taken out and is mixed in the first
container. Let A denote the proportion of water in the first container and B denote the proportion
of alcohol in the second container. Then,
(1) A>B
(2) A