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Re: Set P consists of the first n positive multiples of 3 and set Q consis [#permalink]
Gmatprep998 wrote:
Set P consists of the first n positive multiples of 3 and set Q consists of the first m positive multiples of 5. The sum of all the numbers in set P is equal to R and the sum of all the numbers in set Q is equal to S. If m and n are positive integers, is the difference between R and S odd?

(1) m is odd and n is even

(2) m can be expressed in the form of 4x +3 and n can be expressed in the form of 2x, where x is a positive integer


took > 2mins
the bottom line of this question is the learning of the fact that with an odd or even set of multiple the sum of multiples varies;
#1
m is odd and n is even
m= 5
n=3,6=9
R-S= even
now m =5,10,15; 30
n=3,6,9,12,15 ; 45
R-S = 15 odd
insufficient
#2
m can be expressed in the form of 4x +3 and n can be expressed in the form of 2x, where x is a positive integer
with this we can say that irrespective of value of x
m= will always be odd
and n also be even
but the count of m & n will vary the values of sum of R & S so we cannot conclusively say whether R-S will be odd or even
IMO E
GMAT Club Bot
Re: Set P consists of the first n positive multiples of 3 and set Q consis [#permalink]
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