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26 Mar 2018, 23:15
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
87% (00:55) correct
13%
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wrong
based on 47
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If N is an integer, is 36/N an integer?
(1) N is a multiple of 9.
(2) 9 < N < 27
(1) N is a multiple of 9.
(2) 9 < N < 27
27 Mar 2018, 00:22
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Bunuel
we are looking for whether 36/N is an integer or not.
1. N is multiple of 9. so, N could be 9 , 18, 27, 36, 54
substituting the value of N won't give us integer all tym.
2. 9<N<27. it describes the range of N . no. of value is available here but but not all value provide us integer. if we consider N=18, we will get an integer value.
not sufficient.
(1+2) is sufficient. 1st statement tells us that N is a multiple of 9 and 2nd one specifies the value of N which will be 18 in this case. thus, the correct answer will be C.
27 Mar 2018, 00:23
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Bunuel
1. If N is a multiple of 9, 36/N can or cannot be an integer.
If N = 9, 18, or 36 - 36/N is an integer. Else it is not an integer (Insufficient)
2. In this range 9 < N < 27, is N = 10, 36/N is not an integer.
But 36/18 is an integer. Hence, this statement alone isn't enough (Insufficient)
On combining the information from both the statements,
N can take only one value 18 and 36/N is an integer (Sufficient - Option C)
