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25 Jun 2016, 02:53
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (01:12) correct
28%
(01:28)
wrong
based on 215
sessions
History
Date
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Not Attempted Yet
What is the greatest common factor of the positive integers j and k?
(1) k = j + 1
(2) jk is divisible by 5.
(1) k = j + 1
(2) jk is divisible by 5.
25 Jun 2016, 03:57
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Statement 1: k = j + 1
It means j and k are consecutive positive integers. All pairs of consecutive positive integers have greatest common factor as 1.
So, Statement 1 is sufficient!
Statement 2: jk is divisible by 5
Let us take an example of jk=50 which is divisible by 5.
j and k can be 2 and 25 respectively. Here we have the greatest common factor as 1.
But if j and k are 5 and 10 respectively then we will have the greatest common factor as 5.
Hence, Statement 2 is insufficient.
Answer will be A.
-------------------------------------
P.S. Don't forget to give Kudos
It means j and k are consecutive positive integers. All pairs of consecutive positive integers have greatest common factor as 1.
So, Statement 1 is sufficient!
Statement 2: jk is divisible by 5
Let us take an example of jk=50 which is divisible by 5.
j and k can be 2 and 25 respectively. Here we have the greatest common factor as 1.
But if j and k are 5 and 10 respectively then we will have the greatest common factor as 5.
Hence, Statement 2 is insufficient.
Answer will be A.
-------------------------------------
P.S. Don't forget to give Kudos
General Discussion
25 Jun 2016, 04:43
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Bunuel
What is the greatest common factor of the positive integers j and k?
(1) k = j + 1
(2) jk is divisible by 5.
(1) k = j + 1
(2) jk is divisible by 5.
Answer - A
Statement 1 - For any positive integer suppose j=5 then K=6 , the G.C.F. is 1 , every such no. will occur in pair of odd and even . so any pair of odd and even no. with difference 1 has G.C.F 1. Sufficient
Statement 2- JK divisible by 5 . It is possible that only j is divisible by 5 or only k is divisible by 5 or both are divisible by 5 .Thus statement 2 is Insufficient.
