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Thread: Elevenses

  1. #1
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    Elevenses

    1#
    What number comes next in this sequence:

    1 2 6 24 120 ==?==

    2#
    What number comes next in this sequence:

    1/1 3/2 7/5 17/12 41/29 ==?==

    3#
    A slight inclination of the cranium is as adequate as a spasmodic movement of one optic to an equine quadruped utterly devoid of any visionary capacity. Translate.

    4#
    Can you find the two smallest whole numbers such that the difference of their squares is a cube and the difference of their cubes is a square?

    5#
    I have 55p in my pocket. Can you tell me what two coins they are if I say that one of them is not a 5p coin?

    6#
    What number comes next in this sequence:

    1 3 6 11 18 ==?==

    7#
    Which letters come next in this sequence:

    TO NE US RN ER RS ==?==

    8#
    What number comes next in this sequence:

    1 8 9 64 25 216 49 ==?==

    9#
    Find an anagram of INSATIABLE.

    10#
    My grandfather was x years old in the year x squared. When was he born?

    11#
    The area of the floor of the tank is 6 square feet, and the water in it is 9 inches deep. How much does the water rise if a 1-foot metal cube is placed in it? How much further does the water rise if a second 1-foot cube is also placed in the tank?
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Elevenses

    Of course! <img src=/S/clapping.gif border=0 alt=clapping width=19 height=23>
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Elevenses

    3: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>A nod is as good as a wink to a blind horse.</font color=yellow></span hi>

    Tony.
    Regards,

    Tony
    [s] [/s]
    www.SylviArtist.com

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    Re: Elevenses

    10: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>1892</font color=yellow></span hi>

    Tony.
    Regards,

    Tony
    [s] [/s]
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    Re: Elevenses

    6# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>27</font color=yellow></span hi>
    9# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>banalities</font color=yellow></span hi>

    StuartR

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    Re: Elevenses

    <P ID="edit" class=small>(Edited by HansV on 05-May-03 02:04. Added more solutions)</P>1# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>Factorials: 720 5040 40320 ...</font color=yellow></span hi>

    2# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>99/70</font color=yellow></span hi>

    4# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>You didn't specify that the numbers had to be different. Take any whole number twice - the difference ot their squares and of their cubes will be 0 = 0^2 = 0^3 <img src=/S/grin.gif border=0 alt=grin width=15 height=15>. But if you want different positive whole numbers, take 6 and 10: 10^2 - 6^2 = 4^3 and 10^3 - 6^3 = 28^2</font color=yellow></span hi>

    5#<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>50p and 5p (one of them is not a 5p coin, but the other one is)</font color=yellow></span hi>

    6# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>29 (my solution is different from that of StuartR)</font color=yellow></span hi>

    7# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>TH (and then US RY)</font color=yellow></span hi>

    8# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>8^3=512</font color=yellow></span hi>

    11# <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>The first cube makes the water rise by 1.8 inch to a height of 10.8 inch. The second cube makes the water rise by another 2.2 inch to a height of 1 foot and 1 inch.</font color=yellow></span hi>

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    Re: Elevenses

    Correct, Tony!
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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    Re: Elevenses

    6# - Hans produced the correct answer - <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>the series is produced by adding the next prime number to the last number</font color=yellow></span hi>

    Elevenses concluded.
    <font color=blue><font face="Script MT Bold"><big>Rob</big></font face=script></font color=blue>

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