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Mensa Puzzle

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by kstv » Wed Apr 14, 2010 7:18 am
All of u who are disappointed at finding out that sanju09 party is 10 years hence
https://www.beatthegmat.com/wea-ll-celebrate-t56031.html
can gatecrash into Michelle's party
I was invited to my neighbour Michelle's birthday party, and when I asked how old she now was, she told me this:

A ) When I was one year older than half my husband Peter's age now, he was as old as I was when he was as old as I am now.

B ) When I was three-quarters as old as Peter is, he was as old as I will be when he is 13 years older than I am now.

What are Michelle's and Peter's ages now?

With such a reply, I think she is broadly hinting that we make ourselves scarce.

[spoiler]Caution : on a serious note , though the Q fits well into a DS pattern Q
I don't think you will face a Q like this on actual GMAT. Small mercies. The language is not GMATesque, but the concepts being tested are basic. Judge for yourself.[/spoiler]
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Source: — Data Sufficiency |

by eaakbari » Wed Apr 14, 2010 10:35 am
That is one confusing wording, but i guess C
Whether you think you can or can't, you're right.
- Henry Ford
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by sanju09 » Thu Apr 15, 2010 4:56 am
kstv wrote:All of u who are disappointed at finding out that sanju09 party is 10 years hence
https://www.beatthegmat.com/wea-ll-celebrate-t56031.html
can gatecrash into Michelle's party
I was invited to my neighbour Michelle's birthday party, and when I asked how old she now was, she told me this:

A ) When I was one year older than half my husband Peter's age now, he was as old as I was when he was as old as I am now.

B ) When I was three-quarters as old as Peter is, he was as old as I will be when he is 13 years older than I am now.

What are Michelle's and Peter's ages now?

With such a reply, I think she is broadly hinting that we make ourselves scarce.

[spoiler]Caution : on a serious note , though the Q fits well into a DS pattern Q
I don't think you will face a Q like this on actual GMAT. Small mercies. The language is not GMATesque, but the concepts being tested are basic. Judge for yourself.[/spoiler]
If m and p are Michelle's and Peter's ages now, respectively, then

(A) This info is making us write

m > ½ p + 1, as it reads "When I was",

and also, this makes us take the hint that she is talking about m - (½ p + 1) years back from now. As we read between the lines, we can deduce that m < p, and the later section of the statement is surely talking about p - m years back from now. So we can further write

p - {m - (½ p + 1)} = m - (p - m)

or 3 p - 6 m = 2. Insufficient

(B) In this statement, in the beginning she's talking about m - ¾ p years back from now. Peter will become 13 years older than Michelle now is, in another 13 - (p - m) years hence, Hence, the later section of the statement is surely talking about 13 - (p - m) years hence. So we can further write

p - (m - ¾ p) = m + 13 - (p - m)

or 11 p - 12 m = 52. Insufficient

Taken together, now it can be answered.

[spoiler]How was the party like?[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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