a,b => not integers, +ve; a-?kris610 wrote:Both a and b are positive; what is the value of a?
(1) 150 percent of a equals 450 percent of b.
(2) ab is the cube of a positive integer.
Will post the answer after the members have had a chance to try this out.
Statement 1: 150 percent of a = 450 percent of bkris610 wrote:Both a and b are positive; what is the value of a?
(1) 150 percent of a equals 450 percent of b.
(2) ab is the cube of a positive integer.
Rahul, was it given for a, b integers?Rahul@gurome wrote:Given: a and b are positive integers.kris610 wrote:Both a and b are positive; what is the value of a?
(1) 150 percent of a equals 450 percent of b.
(2) ab is the cube of a positive integer.
Statement 1: 150 percent of a = 450 percent of b
Implies a = 3b
Infinite values of a are possible.
Not sufficient.
Statement 2: ab is the cube of a positive integer.
Any cube of a positive integer can be always written as product of two positive integers. Again infinite possible values of a.
Not sufficient.
1 & 2 Together: ab = 3b*b = 3b² = cube of a positive integer.
Again there are infinite possible values for b such that 3b² is a cube of a positive integer. For example any b of the form b = 3n³, where n is a positive integer.Not sufficient.
- For n = 1, b = 3 => 3b² = 27 = (3)³
For n = 2, b = 24 => 3(24)² = (3)*[(2)³*(3)]² = [(2)²(3)]³ = (12)³
The correct answer is E.
Thanks.Night reader wrote:Rahul, were it given for a, b integers?
From the above explanation given by Rahul,it's very clear that the answer has to be E.kris610 wrote:@Night Reader: Grockit.
For C to be the answer the question must ask for the minimum possible value of a. Otherwise there is more than one value of a is possible.kris610 wrote:The OA is C.
