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# Is 143/z an integer?

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Manager
Joined: 21 Aug 2019
Posts: 120

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18 Feb 2020, 22:10
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Difficulty:

45% (medium)

Question Stats:

53% (01:03) correct 47% (01:22) wrong based on 17 sessions

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Is 143/z an integer?

(1) z is a prime number
(2) 8 < z < 17

M01-28

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Re: Is 143/z an integer?  [#permalink]

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18 Feb 2020, 22:37
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Farina wrote:
Is 143/z an integer?

(1) z is a prime number
(2) 8 < z < 17

Question: Is 143/z = (11*13)/z = Integer?

Statement 1: z is a prime number

z = 3, (11*13)/z ≠ Integer
z = 13, (11*13)/z = Integer

NOT SUFFICIENT

Statement 2: 8 < z < 17

z = 9, (11*13)/z ≠ Integer
z = 13, (11*13)/z = Integer

NOT SUFFICIENT

Combining the two statements

Prime numbers in teh range 8 < z < 17 are 11 and 13

and for both 11 and 13, (11*13)/z = Integer

SUFFICIENT

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Re: Is 143/z an integer?   [#permalink] 18 Feb 2020, 22:37
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