If x & y are positive integers, is 4^x(1/3)^y < 1?
1. y = 2x
2. y = 4
OA is A. Request some explanation for the answer.
1. y = 2x
2. y = 4
OA is A. Request some explanation for the answer.
Solution:Viren1808 wrote:If x & y are positive integers, is 4^x(1/3)^y < 1?
1. y = 2x
2. y = 4
Consider first (1) alone.
It implies that the given expression is 4^x * (1/3)^2x = (4/9)^x.
If x is a positive integer, (4/9)^x is less than 1.
Hence, (1) alone is sufficient.
We next consider (2) alone.
It makes the given expression 4^x * (1/3)^4 = (4^x)/81.
If x = 2, (4^x)/81 = 16/81 < 1 and if x = 4, (4^x) = 256/81 > 1.
Hence, (2) does not give a definite answer and so is not alone sufficient.
The correct answer is (A).
