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If P is divisible by 2, is Q + 5 an integer? (1) The median [#permalink]
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02 Oct 2011, 15:45
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If P is divisible by 2, is Q + 5 an integer? (1) The median of P and Q is not an integer. (2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer.
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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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03 Oct 2011, 10:15
maheshsrini wrote: If P is divisible by 2, is Q + 5 an integer?
(1) The median of P and Q is not an integer.
(2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer. Date  P is even. The question is basically  Does Q is an integer? So  Statement 1  INSU. Lets say P=2,Q=3 > The answer is YES. P=2, Q=2.5 > The answer is NO. statement 2  SUFF. \((3p+q+q+10)/3 = Integer\) 3p/3 = p > Integer. 2Q+10/3 = Integer. we know that 10/3 is not an integer. therefore 2Q is not an integer as well. so 2q=not integer. Q = not integer/2 > Q is not an integer.
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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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04 Oct 2011, 03:56
maheshsrini wrote: If P is divisible by 2, is Q + 5 an integer?
(1) The median of P and Q is not an integer.
(2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer. 2) (3P+Q+Q+10)/3=3P/3+2(Q+5)/3 3P/3=P(Even integer) 2(Q+5)/3=Even Integer {:Note: P=Even; Even+Even=Even} 2(Q+5)=3*Even integer Q+5=3*Even Integer/2=3*Integer{:Note: All Even integers contain at least ONE 2} "Q+5" must be an integer. {:Note: 3*Integer=Integer; Integer * Integer= Integer} Sufficient. Ans: "B"
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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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26 Oct 2013, 12:30
144144 wrote: maheshsrini wrote: If P is divisible by 2, is Q + 5 an integer?
(1) The median of P and Q is not an integer.
(2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer. Date  P is even. The question is basically  Does Q is an integer? So  Statement 1  INSU. Lets say P=2,Q=3 > The answer is YES. P=2, Q=2.5 > The answer is NO. statement 2  SUFF. \((3p+q+q+10)/3 = Integer\) 3p/3 = p > Integer. 2Q+10/3 = Integer. we know that 10/3 is not an integer. therefore 2Q is not an integer as well. so 2q=not integer. Q = not integer/2 > Q is not an integer. could there be more discussion on this one? I don't get how you go from knowing 10/3 is not an integer to knowing that 2Q is not an integer either...



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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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27 Oct 2013, 10:28
AccipiterQ wrote: 144144 wrote: maheshsrini wrote: If P is divisible by 2, is Q + 5 an integer?
(1) The median of P and Q is not an integer.
(2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer. Date  P is even. The question is basically  Does Q is an integer? So  Statement 1  INSU. Lets say P=2,Q=3 > The answer is YES. P=2, Q=2.5 > The answer is NO. statement 2  SUFF. \((3p+q+q+10)/3 = Integer\) 3p/3 = p > Integer. 2Q+10/3 = Integer. we know that 10/3 is not an integer. therefore 2Q is not an integer as well. so 2q=not integer. Q = not integer/2 > Q is not an integer. could there be more discussion on this one? I don't get how you go from knowing 10/3 is not an integer to knowing that 2Q is not an integer either... If P is divisible by 2, is Q + 5 an integer?P is divisible by 2 implies that P is an even integer > P=2*integer, for some integer k. (1) The median of P and Q is not an integer. The median of P and Q is \(\frac{P+Q}{2}=\frac{2*integer+Q}{2}=integer+\frac{Q}{2}\). So, we are given that \(integer+\frac{Q}{2}\) is not an integer. This means that Q/2 is not an integer, thus Q is not an even integer, which means that Q is either an odd integer or not an integer at all. Not sufficient. (2) The average (arithmetic mean) of 3P, Q, and Q + 10 is an even integer > \(\frac{3P+Q+Q + 10}{3}=even\) > \(3P+2Q+10=3*even=even\) > \(2Q=even3P10=eveneveneven=even\) > \(2Q=even\) > \(Q=\frac{even}{2}=integer\). Sufficient. Answer: B.
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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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10 Nov 2013, 14:05
Hi Can you find what's wrong with my reasoning?
(3Q/3) + (2Q+10)/3 = even int Q + (Q+5)/3 = even int Q+5 = even int Q = even int Q = even int 5 = odd int.



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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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10 Nov 2013, 14:42



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Re: MGMAT DS Statistics Is Q + 5 an integer [#permalink]
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13 Nov 2013, 02:32
Bunuel wrote: ronr34 wrote: Hi Can you find what's wrong with my reasoning?
(3Q/3) + (2Q+10)/3 = even int Q + (Q+5)/3 = even int Q+5 = even int Q = even int Q = even int 5 = odd int. How did you get (Q+5)/3 from (2Q+10)/3 ? Sorry... my mistake



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Re: If P is divisible by 2, is Q + 5 an integer? (1) The median [#permalink]
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