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Thread: Quick Handful

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    Quick Handful

    1#

    What angle do the hands of a clock make at 7:38?

    2#

    The population of the island of Madalfia is 100. Some of the inhabitants always lie, the others always tell the truth. Each islander worships one of three gods: the Sun god, the Moon god, or the Earth god. One day a visiting anthropologist asked each inhabitant the following questions:
    Do you worship the Sun god?
    Do you worship the Moon god?
    Do you worship the Earth god?
    There were 60
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Plutonium Lounger Leif's Avatar
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    Re: Quick Handful

    1] <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">0

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    Re: Quick Handful

    Neither is correct, unless of course, you can prove otherwise.
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Quick Handful

    2# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">30 liars. From the 300 questions asked, you should get 100 'yes' and 200 'no' if everyone tells the truth. If 1 person lies (that is, one of the 'yes' becomes a 'no' and two of the 'no' become 'yes'), then it is 101 'yes' and 199 'no'. The actual total 'yes' was 130 so there are 30 liars.</span hide>

    3# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">If measured from the location that the hand releases the ball, then I would think the times are equal (assuming no updraft, etc).</span hide>

    4# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">A ball of tin had attached itself to the bulb of the themometer thus acting as a insulator - pulling the themometer out quickly, knocked this ball off</span hide>
    (Location Australia, then UK, but now USA. Heart, outlook, attitude, etc always Australian)
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    Re: Quick Handful

    Spot on with 2#, Tim, but 3# and 4# need more work.
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Quick Handful

    1 <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Hour hand travels at 1/2

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    Re: Quick Handful

    3# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> The effect of gravity alone would make them equal, wind resistance will be acting to constantly reduce the speed so the downward trip should take longer than the upward one</span hide>

    StuartR

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    5 Star Lounger Ruff_Hi's Avatar
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    Re: Quick Handful

    <P ID="edit" class=small>(Edited by Timbo on 02-Nov-04 16:17. rats - tony beat me twice - once by getting the answer in first and twice by using that little degree symbol (more style))</P>1# <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> 1 degree. The minute hand is at 228 degrees (38/60 * 360) while the hour hand is at 229 degrees (360/12*7 + 30 * 38/60) </span hide>
    (Location Australia, then UK, but now USA. Heart, outlook, attitude, etc always Australian)
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    Re: Quick Handful

    5 <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">To get 1/8 of apples and 1/10 of pears there must be a multiple of 8 apples and a multiple of 10 pears, using the smallest multiple as an example Bobby got 1 apple and 1 pear out of 18 fruits. Therefore 18/2 = 9 grandchildren</span hide>

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    Re: Quick Handful

    #5<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> 2 - Their names were billy bob and bobby bill (cousins) and they didn't like each other. Grandma handed an apple to billy bob and a pear to bobby bill at which point both boys drew their 'unting knives and faced off. Now, billy bob is bigger and quicker with the 'ld knive than bobby bill and minutes later billy bob had 7/8ths of that apple and 9/10ths of that pear, leaving bobby bill with 1/8th of the apple and 1/10th of the pair.</span hide>
    (Location Australia, then UK, but now USA. Heart, outlook, attitude, etc always Australian)
    Quote: "All Happiness is the release of internal pressure"

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    Re: Quick Handful

    3. If one answer is true for all such scenarios, then <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">the downward trip must be longer, since the ball could be projected upwards at (pretty much) any speed, but could not exceed its terminal velocity on its downward fall.</span hide>

    4. <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">When the molten tin solidifies, the latent heat of fusion causes the thermometer to register an increased temperature.</span hide>

    Alan

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    Re: Quick Handful

    All questions answered correctly.

    Alan:
    I prefer your answer to an alternative I've seen, namely:

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">When the thermometer was taken out of the molten tin, the temperature of the glass bulb dropped sharply. The bulb shrank and squeezed the mercury, causing it to rise in the glass column. To quantify this effect, compare the coefficients of thermal expansion for glass and mercury.</span hide>
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Quick Handful

    sorry but which answer for 5 was correct? <img src=/S/evilgrin.gif border=0 alt=evilgrin width=15 height=15>
    (Location Australia, then UK, but now USA. Heart, outlook, attitude, etc always Australian)
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    Re: Quick Handful

    Your answer, of course! Or was it Tony's? I'll leave the viewers to decide.
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Quick Handful

    I think Tim's answer was right.

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