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#862051 - 01/13/13 01:23 PM Rog's Rag-bag
Urban Worrier Offline

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Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
Maths, logic, trivia, puns, general silliness - an assortment of stuff too disparate to go under any other title. In other words, same old rubbish.


-1. A rebus:
012356789DRACULA

-2. Give me a word that will fit in with the following group and explain why:
settee, raccoon, embarrass

-3. Two travellers spend from 3 o'clock till 9 o'clock in walking along a level road, up a hill, turning round and then following their tracks back home again. Their pace on the level is 4 mph, uphill 3 mph, and downhill 6 mph. Find the distance walked; also find (within half an hour) the time taken to reach the top of the hill.

-4. Which of the following 5 sentences are true?
a) It is not the case that 2 consecutive sentences are both false.
b) There are fewer false than true sentences.
c) It is not the case that 3 consecutive sentences are all false.
d) It is not the case that 2 consecutive sentences are both true.
e) There are exactly 3 false sentences.


-5. I am using a number of 3-ft diameter rollers tp move a long heavy slab. Approximately how far will the slab move for each revolution of the rollers?

-6. (A tricky one I think) You've got 6 marbles. 2 red ones, 2 blue ones and 2 yellow ones. Of each colour pair one marble is slightly heavier than the other but you can't tell them apart without weighing. All 3 light marbles all weigh the same, and all 3 heavy marbles weigh the same. Two marbles always weigh more than one marble. Now, weighing twice with a set of balance scales, can you separate the lighter marbles from the heavier ones?

-7. Whilst you are in the theatre, there is announcement that "Mr Sands is in the foyer". What might be your reaction and why?

-8. The first scientists to study fog were ---------.
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I married Miss Right. I just didn't know her first name was Always.

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#862052 - 01/13/13 01:27 PM Re: Rog's Rag-bag [Re: Urban Worrier]
curly Online   happy
Sonic Boomer

Registered: 07/06/03
Posts: 28004
Loc: Ottawa Ontario Canada
8. Mistified???
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#862055 - 01/13/13 01:42 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Haroula Offline
BAAG Specialist

Registered: 06/02/10
Posts: 7605
Loc: Greece
7. Means that the theater is on fire,so you run scared
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Dear Math, please grow up and solve your own problems, I'm tired of solving them for you.



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#862061 - 01/13/13 02:38 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

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Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
Yes and yes! grin
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I married Miss Right. I just didn't know her first name was Always.

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#862066 - 01/13/13 02:56 PM Re: Rog's Rag-bag [Re: Urban Worrier]
manxman Offline
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Registered: 07/23/02
Posts: 14866
Loc: Unionville
1. Count Dracula wave
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Sometimes lost is where you need to be. Just because you don't know your direction doesn't mean you don't have one.

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#862075 - 01/13/13 03:20 PM Re: Rog's Rag-bag [Re: manxman]
Niki Offline
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Registered: 10/30/11
Posts: 4624
Loc: UK
2. balloon

two lots of double letters in each word think
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#862078 - 01/13/13 03:42 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Flo NS Offline
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Registered: 04/11/06
Posts: 4292
Loc: Nova Scotia
5. 3 ft. Doesn't matter how many you have, they all roll at the same time so can't move any farther than 3 ft.

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#862080 - 01/13/13 04:03 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

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Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
Niki - good call! smile

manxman, Flo - afriad I'm a little more devious than that... evil
_________________________
I married Miss Right. I just didn't know her first name was Always.

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#862112 - 01/13/13 08:28 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Flo NS Offline
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Registered: 04/11/06
Posts: 4292
Loc: Nova Scotia
Of course you are but it was worth a try anyway.

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#862116 - 01/13/13 08:40 PM Re: Rog's Rag-bag [Re: Urban Worrier]
manxman Offline
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Registered: 07/23/02
Posts: 14866
Loc: Unionville
Thought so smile
How about: down for the count think
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Sometimes lost is where you need to be. Just because you don't know your direction doesn't mean you don't have one.

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#862122 - 01/13/13 09:08 PM Re: Rog's Rag-bag [Re: Urban Worrier]
CanukDenis Offline
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Registered: 11/26/00
Posts: 15151
Loc: Ottawa Ontario Canada
3. Two travellers spend from 3 o'clock till 9 o'clock in walking along a level road,
up a hill, turning round and then following their tracks back home again. Their pace
on the level is 4 mph, uphill 3 mph, and downhill 6 mph. Find the distance walked;
also find (within half an hour) the time taken to reach the top of the hill.

Same distance walked at 6mph and 3mph:
@6mph.......(K hours)@3mph.......(2K hours)
Total above distance = 6K + 3(2K) = 12K
Average speed distance / time = 12K / 3K = 4 (not 4.5!)

So the 6 hours were travelled at 4mph, hence 24 miles.

IF no level walking, then uphill is 12 miles @ 3mph,
so 4 hours to reach top: 7 o'clock.
Since there was at least one step on level(!) at speed 4mph,
then top reached a bit faster, hence between 6:30 and 7.

Cute li'l headacher Rog!
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#862136 - 01/13/13 10:52 PM Re: Rog's Rag-bag [Re: Urban Worrier]
CCbomber Offline
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Registered: 01/16/03
Posts: 3170
Loc: Mojave desert, California
4. Which of the following 5 sentences are true?
a) It is not the case that 2 consecutive sentences are both false.
b) There are fewer false than true sentences.
c) It is not the case that 3 consecutive sentences are all false.
d) It is not the case that 2 consecutive sentences are both true.
e) There are exactly 3 false sentences.

a - F
b - F
c - F
d - T
e - F

woozy

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#862180 - 01/14/13 09:04 AM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

Adept Boomer

Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
manxman - so very, very close smile

Denis, CCb - great solves! bravo
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I married Miss Right. I just didn't know her first name was Always.

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#862202 - 01/14/13 12:27 PM Re: Rog's Rag-bag [Re: Urban Worrier]
manxman Offline
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Registered: 07/23/02
Posts: 14866
Loc: Unionville
1. Ok. One more try.......and then I'm
Out for the Count smile
_________________________
Sometimes lost is where you need to be. Just because you don't know your direction doesn't mean you don't have one.

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#862288 - 01/15/13 12:36 AM Re: Rog's Rag-bag [Re: Urban Worrier]
CanukDenis Offline
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Registered: 11/26/00
Posts: 15151
Loc: Ottawa Ontario Canada
#6: the marbles. Give 'em weights of 2 and 3 units: r2,r3,b2,b3,y2,y3; if unknown: r?,b?,y?

Compare r? b? to r? y? (2 of 1 color, 1 each of other color...pick your poison!)

IF EVEN; only total weight of 5 is possible on each side; 2 possibilities:
r3 b2 : r2 y3 ; left: b3 y2 [1]
r2 b3 : r3 y2 ; left: b2 y3 [2]
Compare the 2 that are left:
[1] b? heavier, so this one is b3, leaving b2 on scale; others forced as shown
[2] y? heavier, so this one is y3, leaving y2 on scale; others forced as shown

IF LEFT SIDE HEAVY; 3 possibilities:
r3 b3 : r2 y3 ; left: b2 y2 [1]
r3 b3 : r2 y2 ; left: b2 y3 [2]
r3 b2 : r2 y2 ; left: b3 y3 [3]
Compare the b? and y? on scale to the 2 that are left:
[1] b3 y3 > b2 y2 (6 : 4)
[2] b3 y2 = b2 y3 (5 : 5)
[3] b2 y2 < b3 y3 (4 : 6)
Since the 3 cases are different, then each case is forced as shown.

IF RIGHT SIDE heavy; 3 possibilities:
r2 b3 : r3 y3 ; left: b2 y2 [1]
r2 b2 : r3 y3 ; left: b3 y2 [2]
r3 b2 : r3 y2 ; left: b3 y3 [3]
Compare the b? and y? on scale to the 2 that are left:
[1] b3 y3 > b2 y2 (6 : 4)
[2] b2 y3 = b3 y2 (5 : 5)
[3] b2 y2 < b3 y3 (4 : 6)
Since the 3 cases are different, then each case is forced as shown.

A real "twister", Rog...was sure it couldn't be done!
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We're all here because we're not all there !

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#862432 - 01/15/13 05:11 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

Adept Boomer

Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
Yes, manxman - the 4 has been removed from the sequence ("out four") smile

Great solve, Denis - as you spotted, the crux is picking that initial weighing - 2 of one colour, one each of the others. bravo
_________________________
I married Miss Right. I just didn't know her first name was Always.

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#862465 - 01/15/13 07:39 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Pandora Online   content

Sonic Boomer

Registered: 08/06/00
Posts: 45618
Loc: Upstate NY
Denis bravo
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#862470 - 01/15/13 08:28 PM Re: Rog's Rag-bag [Re: Urban Worrier]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15151
Loc: Ottawa Ontario Canada
Hank you, hank you...am now leaving the building whistle
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We're all here because we're not all there !

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#864237 - 01/25/13 10:04 AM Re: Rog's Rag-bag [Re: Urban Worrier]
Flo NS Offline
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Registered: 04/11/06
Posts: 4292
Loc: Nova Scotia
Can we have the answer to #5 please

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#864239 - 01/25/13 10:09 AM Re: Rog's Rag-bag [Re: Urban Worrier]
Cue Offline
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Registered: 04/07/03
Posts: 12216
Loc: The Outer Limits
I'm thinking it's about 9.5 feet, or the circumference of the roller. think
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Did you ever stop to think and then forget to start again?

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#864281 - 01/25/13 12:00 PM Re: Rog's Rag-bag [Re: Cue]
CanukDenis Offline
Graduate Boomer

Registered: 11/26/00
Posts: 15151
Loc: Ottawa Ontario Canada
Originally Posted By: Cue
I'm thinking it's about 9.5 feet, or the circumference of the roller. think

Length of Cue's pool table in basement?
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We're all here because we're not all there !

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#864301 - 01/25/13 03:33 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Flo NS Offline
Addicted Boomer

Registered: 04/11/06
Posts: 4292
Loc: Nova Scotia
Ah yes, diameter x Pi. I'll have to learn math all over again to answer these questions.

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#864315 - 01/25/13 05:11 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

Adept Boomer

Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
Cue - afraid not. I had to check this one for mysrlf evil

Answer tomorrrow if no takers smile
_________________________
I married Miss Right. I just didn't know her first name was Always.

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#864322 - 01/25/13 06:28 PM Re: Rog's Rag-bag [Re: Urban Worrier]
manxman Offline
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Registered: 07/23/02
Posts: 14866
Loc: Unionville
2*Circumference=2*pi*d=18.85 wave
_________________________
Sometimes lost is where you need to be. Just because you don't know your direction doesn't mean you don't have one.

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#864399 - 01/26/13 08:15 AM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

Adept Boomer

Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
Yes, manxman! wave

Goes contrary to what you think is the obvious (9.2), but if you imagine the centre of the rollers being stationary, then the slab goes 9.4 one way, and the ground goes 9.4 the other way. So the plank moves approx 18.4 in relation to the ground.
_________________________
I married Miss Right. I just didn't know her first name was Always.

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#864517 - 01/26/13 11:46 PM Re: Rog's Rag-bag [Re: Urban Worrier]
Flo NS Offline
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Registered: 04/11/06
Posts: 4292
Loc: Nova Scotia
Yes, exactly what I thought. rotfl

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#864544 - 01/27/13 05:35 AM Re: Rog's Rag-bag [Re: Urban Worrier]
Urban Worrier Offline

Adept Boomer

Registered: 11/16/04
Posts: 14182
Loc: Bucks, England
lol
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I married Miss Right. I just didn't know her first name was Always.

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