1. ## 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?

2. ## Re: Elevenses

Of course! <img src=/S/clapping.gif border=0 alt=clapping width=19 height=23>

3. ## 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.

4. ## Re: Elevenses

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

Tony.

5. ## 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

6. ## 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>

7. ## Re: Elevenses

Correct, Tony!

8. ## 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.

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