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If p, q, and r are positive integers such that q is a factor
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20 Dec 2014, 09:22
I am not able to get the right answer
1)If q is a factor of r, then r=aq (a any constant ) 2)If r is a multiple of p,then p=br (b any constant)
Now checking options 1. (p+q)/r= (br+r/a)/r= b+1/a .................... It can b an Integer if a=1 2. (r+p)/q= (r+br)/(r/a)= a(1+b)............ Always an Integer 3. p/q =rb/(r/a)=b/a ................................ Can be an Integer if b is divisible by a 4. r(p+q)/pq= r(rb+r/a)/(rb*r/a)=(ab+1)/b ...............
I think I m doing some basic mistake ,please tell.
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Re: If p, q, and r are positive integers such that q is a factor
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20 Dec 2014, 09:35
veerdonjuan wrote:
I am not able to get the right answer
1)If q is a factor of r, then r=aq (a any constant ) 2)If r is a multiple of p,then p=br (b any constant)
Now checking options 1. (p+q)/r= (br+r/a)/r= b+1/a .................... It can b an Integer if a=1 2. (r+p)/q= (r+br)/(r/a)= a(1+b)............ Always an Integer 3. p/q =rb/(r/a)=b/a ................................ Can be an Integer if b is divisible by a 4. r(p+q)/pq= r(rb+r/a)/(rb*r/a)=(ab+1)/b ...............
I think I m doing some basic mistake ,please tell.
r is a multiple of p means r = bp, not p = br.
_________________
Re: If p, q, and r are positive integers such that q is a factor
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20 Dec 2014, 09:44
Thankyou Bunuel !!I think I need good sleep Please tell substituting a value is good (less time consuming & accurate ) approach or assuming variables
Bunuel wrote:
veerdonjuan wrote:
I am not able to get the right answer
1)If q is a factor of r, then r=aq (a any constant ) 2)If r is a multiple of p,then p=br (b any constant)
Now checking options 1. (p+q)/r= (br+r/a)/r= b+1/a .................... It can b an Integer if a=1 2. (r+p)/q= (r+br)/(r/a)= a(1+b)............ Always an Integer 3. p/q =rb/(r/a)=b/a ................................ Can be an Integer if b is divisible by a 4. r(p+q)/pq= r(rb+r/a)/(rb*r/a)=(ab+1)/b ...............
I think I m doing some basic mistake ,please tell.
r is a multiple of p means r = bp, not p = br.
_________________
"Arise, Awake and Stop not till the goal is reached"
Re: If p, q, and r are positive integers such that q is a factor
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15 Jun 2017, 02:15
aarushi00 wrote:
If p, q, and r are positive integers such that q is a factor of r, and r is a multiple of p, which of the following must be an integer?
A. (p+q)/r B. (r+p)/q C. p/q D. pq/r E. r(p+q)/pq
One of the simple way to solve such kind of questions is to use values for different variables given.
Lets Assume r = 8 q = 2 p= Either 1 or 4. Need to assume two value since relationship between p & q is not given
Let's plug these values A. (p+q)/r = 3/8 = Not an Integer B. (r+p)/q = 12/2 or 9/2 = Not an Integer in 2nd Scenario C. p/q = 1/2 or 2/2 = Not an Integer in 1st Scenario D. pq/r = 2/8 or 8/8 = Not an Integer in 1st Scenario E. r(p+q)/pq = 8.3/3 or 8.6/8 = Integer in Both the Scenarios'.
Hence Answer E
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Re: If p, q, and r are positive integers such that q is a factor
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12 Sep 2018, 19:33
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62% (02:26) correct 
Thankyou Bunuel !!I think I need good sleep 
