TESTfunda - CAT Question of the Day 21-Dec-12

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Testfunda
21-Dec-12
CAT Question of the Day
For each positive integer n, define a sequence;

 

Here [x] denotes the largest integer not greater than x, for any real number x.

If n {1, 2, 3, …, 2012} then what is the number of n for which an > an + 1.

OPTIONS
 
 1)41
 2)43
 3)45
 4)47
Tip of the Day
Although learning multiplication tables, squares and cubes is not a necessity, it will definitely help reduce solving time.
Last year's Question of the day (20-Dec-11)
Let a function be defined. If , then, always ends with
OPTIONS
 
 1)0 or 2
 2)0 or 8
 3)Either or both options 1 and 2
 4)Exactly one but not both from options 1 and 2
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