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27 Apr 2016, 12:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
65% (01:49) correct
35%
(01:31)
wrong
based on 533
sessions
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The numbers m, n, and K are all positive integers. Given that m is a factor of K, that n is also a factor of K, and m < n, which of the following must also be a positive integer factor of K?
A. m + n
B. mn
C. n^2/m
D. K/m
E. K/(mn)
A. m + n
B. mn
C. n^2/m
D. K/m
E. K/(mn)
29 Apr 2016, 00:45
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If K is a positive integer and K is divided by one of its factors the result is always a factor of K. --> K/m or K/n satisfies the rule.
For ex: K = 100 --> Factors of K = 1, 2, 4, 5, 10, 20, 25, 50, 100
Let m = 10; n = 100
A. m + n --> 110 is not a factor of K
B. mn --> 1000 is not a factor of K
C. n^2/m --> 1000 is not a factor of K
D. K/m --> 10 is a factor of K
E. K/(mn) --> 0.1 is not an integer
Answer: D
For ex: K = 100 --> Factors of K = 1, 2, 4, 5, 10, 20, 25, 50, 100
Let m = 10; n = 100
A. m + n --> 110 is not a factor of K
B. mn --> 1000 is not a factor of K
C. n^2/m --> 1000 is not a factor of K
D. K/m --> 10 is a factor of K
E. K/(mn) --> 0.1 is not an integer
Answer: D
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28 Dec 2016, 10:58
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Great Question.
Here is what i did in this Question =>
k=mx=ny
here, x and y air integers.
Lets use brute Force here ->
Option 1=>
k=10
m=1
n=2
m+n=3 which is not a factor of 10
WRONG
Option 2->
k=10
m=5
n=10
mn=50 which is not a factor of 10
WRONG
option 3->
k=18
m=2
n=3
n^2/m = 9/2 which can never be a factor of any integer
WRONG
option->4
k/m = mx/m = x
BINGO..!!
Just to be sure
Option E->
k/mn =>
k=10
m=5
n= 10
k/mn = 10/50
WRONG
Hence D
Here is what i did in this Question =>
k=mx=ny
here, x and y air integers.
Lets use brute Force here ->
Option 1=>
k=10
m=1
n=2
m+n=3 which is not a factor of 10
WRONG
Option 2->
k=10
m=5
n=10
mn=50 which is not a factor of 10
WRONG
option 3->
k=18
m=2
n=3
n^2/m = 9/2 which can never be a factor of any integer
WRONG
option->4
k/m = mx/m = x
BINGO..!!
Just to be sure
Option E->
k/mn =>
k=10
m=5
n= 10
k/mn = 10/50
WRONG
Hence D
