Is it B ?jc114 wrote:153. Does the integerK have a factor p such that 1<p<k?
(1) k>4!
(2) 13! + 2<= K<=13!+13
1 - insufficient. Take 29, it doesn't have a factor p that satisfies 1<p<k.
Take 30 - it does have a factor p that satisfies 1<p<k
2 - sufficient. 13!+2 is divisible by 2, 13!+3 is divisible by 3 etc. All values
in the range of 13!+2 to 13!+13 have atleast 1 factor that is > 1 and
less than k.
I think plugging in values will work faster in this case. Else, itjc114 wrote: 154. Is x negative?
(1) x^3(1-x^2)<0
(2) x^2-1<0
Are there ways to solve without having to plug in #s?
will be easier to get into an algebraic mess
1 - insufficient. Take 2 and -0.5 for example
2 - insufficient. x^2 < 1. x should be in the range -1 to +1.
Take 0.5 and -0.5 for example
1 and 2 together is sufficient. 2 tells us that x has a range of -1 to +1.
The only values of x in this range that would satisfy condition 1 is if
-1 < x < 0.
So, x is negative or so I think
. Please confirm.
