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prep question

This topic has 3 member replies
jc114 Senior | Next Rank: 100 Posts Default Avatar
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prep question

Post Wed Apr 18, 2007 1:54 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    x=/= 0, |x|<1?

    1. x/|x|<x

    2. x<|x|

    how would you solve this, without plugging in numbers (probably take forever)

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    gabriel Legendary Member
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    Post Wed Apr 18, 2007 10:59 am
    jc114 wrote:
    x=/= 0, |x|<1?

    1. x/|x|<x

    2. x<|x|

    how would you solve this, without plugging in numbers (probably take forever)
    ok .. here goes ...

    mod(x) is the positive value of x ...

    .... so x/mod(x) will be equal to either 1 or -1 ...

    now the first statemnet says that x/mod(x) < x ... now x can take either fraction or intgere values and can either be negative or positive ...

    now there are 2 cases for which the first statement is satisfied .... first when x>1 or when x is between -1 and 0 .... for the rest of the cases that is when x is between 0 and 1... and when x is less than -1... x/mod(x) will be greater than x ... so we have 2 values of x which satisfies the first condition ... in one case (when x is between -1 and 0) mod(x)<1.. and in the other case (when x is greater than 1) mod(x)>1 .. so statement one does not give a defnite answer .. so insufficient

    the second statement says that x<mod(x) .. which just means that x is negative ( if x was positve the x = mod(x)) ... but again mod(x) can be either > or < 1 .. so second statement is againd insufficient ...


    ..... now combine the 2 statements the second says that x is negative and the first says that x/mod(x)<x .. this is possible only when x is between -1 and 0 .. so mod(x)<1 .. so the ans is C..


    ... i am sorry if the explanation seems gibberish Very Happy ...

    jc114 Senior | Next Rank: 100 Posts Default Avatar
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    Post Wed Apr 18, 2007 3:20 pm
    in the second condition, how does x<0=> mean that either x<=0 or -1<x<0?

    gabriel Legendary Member
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    Post Fri Apr 20, 2007 9:47 am
    jc114 wrote:
    in the second condition, how does x<0=> mean that either x<=0 or -1<x<0?
    i am sorry ... but i do not understand what is it that u r meaning to ask ..

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