Given a set
A = {1, 3, 9, 27, 81, -----, (3)^100}
Y is a subset of A such that the GEOMETRIC mean of no two numbers is (3)^50. N is the maximum possible number of elements in set Y.
1) What is the value of N?
A) 50
B) 51
C) 49
D) 52
2) In how many ways can the set Y be formed such that it has exactly N elements?
A) (2)^50
B) (2)^51
C) (3)^50
D) (3)^51
Source: A test booklet which I recently found.
A = {1, 3, 9, 27, 81, -----, (3)^100}
Y is a subset of A such that the GEOMETRIC mean of no two numbers is (3)^50. N is the maximum possible number of elements in set Y.
1) What is the value of N?
A) 50
B) 51
C) 49
D) 52
2) In how many ways can the set Y be formed such that it has exactly N elements?
A) (2)^50
B) (2)^51
C) (3)^50
D) (3)^51
Source: A test booklet which I recently found.
