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19 Dec 2020, 08:33
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
43% (01:47) correct
57%
(01:56)
wrong
based on 61
sessions
History
Date
Time
Result
Not Attempted Yet
If k is a nonzero integer, is (47-k)/k an integer?
(1) k is not prime.
(2) k < 4
(1) k is not prime.
(2) k < 4
Updated on: 21 Dec 2020, 08:26
Originally posted by CrackverbalGMAT on 21 Dec 2020, 06:03.
Last edited by CrackverbalGMAT on 21 Dec 2020, 08:26, edited 2 times in total.
Last edited by CrackverbalGMAT on 21 Dec 2020, 08:26, edited 2 times in total.
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Hoozan
Statement 1: k is not prime.
When k = 1, then (47 - 1)/1 = 46, which is an integer
When k = 4, then (47 - 4)/4 = 43/4, which is not an integer
Therefore Statement 1 Alone is Insufficient. Answer options could be B, C or E.
Statement 2: k < 4
When k = 1, then (47 - 1)/1 = 46, which is an integer
When k = 2, then (47 - 2)/2 = 45/2, which is not an integer
Therefore Statement 2 Alone is Insufficient. Answer Options could be C or E.
Combining Both Statements:
k is not prime and k is less than 4. So k can be 1, or any negative integers.
When k = 1, then (47 - 1)/1 = 46, which is an integer
When k = -2, then (47 - (-2))/2 = 49/-2, which is not an integer
Therefore Both Statements together are Insufficient.
Option E
Arun Kumar
21 Dec 2020, 06:21
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CrackVerbalGMAT, how did you get the answer as E?
When you combine both conditions (1)k is not a prime + (2) k<4.
Then the numbers left to test is only 1 as 2 and 3 both are prime.
So what was your rationale behind equating k as 2 while testing both conditions (1) and (1)+(2)??
I feel the answer is C.
I don't know when CrackVerbalGMAT will have the time to see this, considering how busy they always are, until then can chetansharma, nick1816 or yashikaaggarwal help me out ?
Thank you.
When you combine both conditions (1)k is not a prime + (2) k<4.
Then the numbers left to test is only 1 as 2 and 3 both are prime.
So what was your rationale behind equating k as 2 while testing both conditions (1) and (1)+(2)??
I feel the answer is C.
I don't know when CrackVerbalGMAT will have the time to see this, considering how busy they always are, until then can chetansharma, nick1816 or yashikaaggarwal help me out ?
Thank you.
