Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.
See classesLearn live with an expert or move at your own pace. Every option includes the complete TTP study system.
Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.
with Josh Braslow, 20+ years in test prep
Self-paced EA prep. Study on your schedule.
with
Complete access from day one. Study on your schedule.
Rahul@gurome wrote:Given: If an integer k have a factor p such that 1 < p < k, then k is a composite number, otherwise k is prime. Thus the question simply asks whether k is prime or composite.
Statement 1: k > 4!
k may be prime (29, 31 etc) or may be composite (25, 26 etc.)
Not sufficient.
Statement 2: (13! + 2) ≤ k ≤ (13! + 13)
Each possible value of k is composite integer. Take few for example,Sufficient.
- (1) k = (13! + 2) = (13*12*11*10*9*8*7*6*5*4*3*2*1 + 2) = 2*(13*12*11*10*9*8*7*6*5*4*3*1 + 1) => Multiple of 2
(2) k = (13! + 3) = (13*12*11*10*9*8*7*6*5*4*3*2*1 + 3) = 3*(13*12*11*10*9*8*7*6*5*4*2*1 + 1) => Multiple of 3
(3) k = (13! + 4) = (13*12*11*10*9*8*7*6*5*4*3*2*1 + 4) = 4*(13*12*11*10*9*8*7*6*5*3*2*1 + 1) => Multiple of 4
(4) Same for 5, 6, 7, 8, 9, 10, 11, 12 and 13
The correct answer is B.
"integer k have a factor p" means p can any of the factors of integer k. For example if k = 8, then the factors of k are 1, 2, 4 and 8. Thus the value of p can be either 1 or 2 or 4 or 8.anirudhbhalotia wrote:Not able to understand Rahul!
How did you get that its about prime or composite?
" integer k have a factor p"...does this means, for example k = 8, p = 2 or 4 or 8?
Can you break it down further...or may be I am missing some fundamental concepts here?
