Quote:
What is the value of the integer z ?
(1) z has exactly one prime factor.
(2) 18 < z < 32, and z has exactly three factors.
Question: z = ?Statement 1: z has exactly one prime factor.i.e. z itself is prime or a \(Prime^{Integer}\)
i.e. z = 2, 3, 5, 7, 11,... or 2, 4, 8, 16..., 3, 9, 27, ... etc.
NOT SUFFICIENT
Statement 2: 18 < z < 32, and z has exactly three factorsi.e. Numbers in given range are {19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}
But Number with 3 factors will be of the form \(Prime^2\)But only 25 has three factors among them because \(25 = 5^2\) whose factors are {\(1, 5, 25\)}SUFFICIENT
ANswer: Option B
FOr property on Number of Factors please refer the following concept video made by us.
Concept on "Numbers with ODD number of factors such as 3 factos" _________________
GMATinsightGreat Results (Q≥50 and V≥40) l Honest and Effective Admission Support l 100% Satisfaction !!!One-on-One GMAT Skype classes l On-demand Quant Courses and Pricing l Admissions ConsultingCall/mail: +91-9999687183 l info@gmatinsight.com (for FREE Demo class/consultation)
SUCCESS STORIES: From 620 to 760 l Q-42 to Q-49 in 40 days l 590 to 710 + Wharton l GMAT730+ESCPFREE Resources: 22 FULL LENGTH TESTS l OG QUANT 50 Qn+VIDEO Sol. l NEW:QUANT REVISION Topicwise Quiz