If P is divisible by 2, is Q + 5 an integer? (1) The median

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

02 Oct 2011, 15:45

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47% (02:30) correct

52% (01:09) wrong

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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.

[Reveal] Spoiler: OA

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Re: MGMAT DS Statistics- Is Q + 5 an integer [#permalink]

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]

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] 04 Oct 2011, 03:56

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If P is divisible by 2, is Q + 5 an integer? (1) The median

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If P is divisible by 2, is Q + 5 an integer? (1) The median

If P is divisible by 2, is Q + 5 an integer? (1) The median

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