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29 Mar 2012, 00:38
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B
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Difficulty:
15%
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Question Stats:
70% (00:48) correct
30%
(00:53)
wrong
based on 885
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What is the greatest common divisor of positive integers m and n?
(1) m is a prime number.
(2) m and n are consecutive integers.
(1) m is a prime number.
(2) m and n are consecutive integers.
Solving this question helps.
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29 Mar 2012, 01:25
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What is the greatest common divisor of positive integers m and n?
(1) m is a prime number. Not sufficient as no info about n.
(2) m and n are consecutive integers. Any two consecutive positive integers are co-prime, which means that they do not share any common factor but 1. For example: 3 and 4, 5 and 6, 100 and 101, are consecutive integers and they do not share any common factor but 1. So, the greatest common divisor of m and n is 1. Sufficient.
Answer: B.
(1) m is a prime number. Not sufficient as no info about n.
(2) m and n are consecutive integers. Any two consecutive positive integers are co-prime, which means that they do not share any common factor but 1. For example: 3 and 4, 5 and 6, 100 and 101, are consecutive integers and they do not share any common factor but 1. So, the greatest common divisor of m and n is 1. Sufficient.
Answer: B.
General Discussion
Updated on: 01 Dec 2015, 21:44
Originally posted by EMPOWERgmatRichC on 29 Nov 2015, 16:26.
Last edited by EMPOWERgmatRichC on 01 Dec 2015, 21:44, edited 1 time in total.
Last edited by EMPOWERgmatRichC on 01 Dec 2015, 21:44, edited 1 time in total.
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Hi All,
This DS question can be solved by TESTing VALUES and/or a bit of logic.
We're told that M and N are both POSITIVE INTEGERS. We're asked for the greatest common divisor of M and N.
1) M is a prime number.
This Fact tells us nothing about N.
IF...
M = 2
N = 2
Then the answer to the question is 2
IF...
M = 2
N = 3
Then the answer to the question is 1
Fact 1 is INSUFFICIENT
2) M and N are CONSECUTIVE integers.
The second TEST from Fact 1 'fits' this Fact too...
IF...
M = 2
N = 3
Then the answer to the question is 1
Looking at this example, you might notice that when dealing with consecutive positive integers, the ONLY factor that will divide into both numbers is 1. If you 'TEST' 3 and 4, 4 and 5, 5 and 6, etc., you 'll get the SAME answer every time.
Fact 2 is SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This DS question can be solved by TESTing VALUES and/or a bit of logic.
We're told that M and N are both POSITIVE INTEGERS. We're asked for the greatest common divisor of M and N.
1) M is a prime number.
This Fact tells us nothing about N.
IF...
M = 2
N = 2
Then the answer to the question is 2
IF...
M = 2
N = 3
Then the answer to the question is 1
Fact 1 is INSUFFICIENT
2) M and N are CONSECUTIVE integers.
The second TEST from Fact 1 'fits' this Fact too...
IF...
M = 2
N = 3
Then the answer to the question is 1
Looking at this example, you might notice that when dealing with consecutive positive integers, the ONLY factor that will divide into both numbers is 1. If you 'TEST' 3 and 4, 4 and 5, 5 and 6, etc., you 'll get the SAME answer every time.
Fact 2 is SUFFICIENT
Final Answer:
GMAT assassins aren't born, they're made,
Rich
