harshchougule wrote:
GMATinsight wrote:
Bunuel wrote:
Does positive integer z equal 7?
(1) z is not a factor of 120.
(2) 7 is the largest prime factor ofz.
(1) z is not a factor of 120.
(2) 7 is the largest prime factor ofz.
Question: is z =?
Statement1 : z is not one of {1, 2, 3, 4, 6, 8, 10, 12, 15........60,120}
but z may be 7 or something else as wellhence
NOTSUFFICIENT
Statement2 : 7 is the largest prime factor ofz.
z may be 7 or 77hence
NOTSUFFICIENT
Combining thestatements
z may be 7 or 77hence
NOTSUFFICIENT
Answer: OptionE
but statement 2 says 7 is the largest prime factor so Z can have 2,3,5, and 7 as its prime factor so from statement 1 and 2 we can remove 2,3,5 and the only prime number that remains is the 7
Hence IMO C should be theanswer
z can be 7, as it satisfies both statements: 7 is not a factor of 120, and 7 is the largest prime factor of 7. However, z can be other values such as 14, which also satisfies both statements: 14 is not a factor of 120, and 7 is the largest prime factor of 14. E is correct.
P.S. In the above solution, it was mistakenly written that
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Statistics : Posted by Bunuel • on 20 Oct 2023, 00:30 • Replies 3 • Views 401
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