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Does positive integer z equal 7? (1) z is not a factor of 120. 20 Oct 2023, 01:30
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35% (medium)

Question Stats:

69% (01:16) correct 31% (01:30) wrong based on 58 sessions

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Does positive integer z equal 7?

(1) z is not a factor of 120.

(2) 7 is the largest prime factor of z.


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E
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Does positive integer z equal 7? (1) z is not a factor of 120. 20 Oct 2023, 01:53
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Bunuel
Does positive integer z equal 7?

(1) z is not a factor of 120.

(2) 7 is the largest prime factor of z.
Show more

Question: is z = ?

Statement 1: 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 well hence
NOT SUFFICIENT

Statement 2: 7 is the largest prime factor of z.
z may be 7 or 77 hence
NOT SUFFICIENT

Combining the statements
z may be 7 or 77 hence
NOT SUFFICIENT

Answer: Option E
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Does positive integer z equal 7? (1) z is not a factor of 120. 13 Nov 2023, 04:45
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Bunuel
Does positive integer z equal 7?

(1) z is not a factor of 120.

(2) 7 is the largest prime factor of z.

Question: is z = ?

Statement 1: 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 well hence
NOT SUFFICIENT

Statement 2: 7 is the largest prime factor of z.
z may be 7 or 77 hence
NOT SUFFICIENT

Combining the statements
z may be 7 or 77 hence
NOT SUFFICIENT

Answer: Option E
Show more




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 the answer
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Does positive integer z equal 7? (1) z is not a factor of 120. 13 Nov 2023, 07:04
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harshchougule
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Bunuel
Does positive integer z equal 7?

(1) z is not a factor of 120.

(2) 7 is the largest prime factor of z.

Question: is z = ?

Statement 1: 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 well hence
NOT SUFFICIENT

Statement 2: 7 is the largest prime factor of z.
z may be 7 or 77 hence
NOT SUFFICIENT

Combining the statements
z may be 7 or 77 hence
NOT SUFFICIENT

Answer: Option E




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 the answer
Show more

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 z can be 77, which is not correct. 77 = 7*11, so its largest prime factor is 11, not 7.
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