TESTfunda - CAT Question of the Day 16-Sep-12

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Testfunda
16-Sep-12
CAT Question of the Day
Consider the increasing sequence - 1, 3, 4, 9, 10, 12, 13… and so on. The sequence consists of all those positive integers which are powers of 3 or sum of distinct powers of 3.

Find the 100th term of the sequence.
OPTIONS
 
 1)978
 2)981
 3)932
 4)987
 5)None of these
Tip of the Day
If [x] denotes the greatest integer less than or equal to x, then for any positive integer, n,

[(n + 1)/2] + [(n + 2)/4] + [(n + 4)/8] + ... = n
Last year's Question of the day (15-Sep-11)
Identify the correct nature of and the relationship between statements a and b.



b) For non-negative numbers, arithmetic mean is greater than or equal to geometric mean.
OPTIONS
 
 1)a and b both are correct. b is the correct explanation of a.
 2)a and b both are correct. b is not the correct explanation of a.
 3)a is incorrect. b is correct.
 4)a and b are both incorrect.
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