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30 Oct 2019, 22:01
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C
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Difficulty:
15%
(low)
Question Stats:
80% (00:51) correct
20%
(00:58)
wrong
based on 49
sessions
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Is the integer N divisible by 36?
(1) N is divisible by 9.
(2) N is divisible by 8.
(1) N is divisible by 9.
(2) N is divisible by 8.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
30 Oct 2019, 22:15
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Statement 1 - N is divisible by 9.
N= 9 , we get a no.
N=36, we get a yes.
Not sufficient.
Statement 2- N is divisible by 8.
N=8, we get a no.
N=72, we get a yes.
Not sufficient.
Combining N=9X, N=8K
N is a common multiple of 8 and 9.
Least such common multiple is 72..
Therefore N is of the form 72p, for any positive integer p.
72 is always divisible by 36, therefore 72P will also be divisible by 36..
Combining worked.
C.
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N= 9 , we get a no.
N=36, we get a yes.
Not sufficient.
Statement 2- N is divisible by 8.
N=8, we get a no.
N=72, we get a yes.
Not sufficient.
Combining N=9X, N=8K
N is a common multiple of 8 and 9.
Least such common multiple is 72..
Therefore N is of the form 72p, for any positive integer p.
72 is always divisible by 36, therefore 72P will also be divisible by 36..
Combining worked.
C.
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30 Oct 2019, 22:25
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C.
Statement 1: N can be 0 (divisible by 36) and 9 (NOT divisible by 36). Not Sufficient.
Statement 2: N can be 0 (divisible by 36) and 8 (NOT divisible by 36).Not Sufficient.
Combining: n is divisible by 72. Since all multiples of 72 are divisible by 36, c is Sufficient. Yes.
Don’t forget make a good friendship with ZERO. Otherwise, ZERO will be your biggest enemy.
Statement 1: N can be 0 (divisible by 36) and 9 (NOT divisible by 36). Not Sufficient.
Statement 2: N can be 0 (divisible by 36) and 8 (NOT divisible by 36).Not Sufficient.
Combining: n is divisible by 72. Since all multiples of 72 are divisible by 36, c is Sufficient. Yes.
Don’t forget make a good friendship with ZERO. Otherwise, ZERO will be your biggest enemy.
