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Thread: Logic Quiz Part 1 | This thread is pages long: 1 2 3 · «PREV / NEXT» |
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Asheera
Honorable
Undefeatable Hero
Elite Assassin
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posted November 19, 2008 08:22 PM |
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Ok, that always word removes all doubt, I admit my defeat.
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Hell_Wizard
Famous Hero
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posted November 19, 2008 08:23 PM |
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Didn't see that part.
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TheDeath
Responsible
Undefeatable Hero
with serious business
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posted November 19, 2008 08:23 PM |
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Quote: You know that the number you seek is almost dividable by all the given numbers, so you just find their common divisor (is that what it calledin English?) and subtract one. A quick check shows that the divisor is: 7*8*9*5=2520. 2520-1=2519.
I got it, Nice trick
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The above post is subject to SIRIOUSness.
No jokes were harmed during the making of this signature.
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alcibiades
Honorable
Undefeatable Hero
of Gold Dragons
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posted November 19, 2008 08:46 PM |
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Quote: You know that the number you seek is almost dividable by all the given numbers, so you just find their common divisor (is that what it calledin English?) and subtract one. A quick check shows that the divisor is: 7*8*9*5=2520. 2520-1=2519.
Ok that was a bit too smart for me. I did it this way (which is about the same, but probably more systematic - and cumbersome!):
Since X/10 has remainder 9, we know last digit is 9.
X/9 has remainder 8. This means that X - 8 is dividable by 9. Since X ends on 9, X - 8 ends on 1. The only numbers ending on 1 which are dividable by 9 are: 81 + n * 90, where n is some integer - corresponding to the X values of 89, 179, 269, 359, 449, etc. (Remember that the first series where possible values for X - 8).
X/8 has remainder 7. This means that X - 7 is dividable by 8. The only numbers ending on (9 - 7 = 2) thare are dividably by 8 are: 32 + n * 80 and 72 + n * 80. This can be contracted to the numbers 32 + n * 40, corresponding to the series 32, 72, 112, 152, 192, etc. This would yield X values of 39, 79, 119, 159, 199, etc.
X/7 has remainder 6. This means that X - 6 is dividable by 7. The only numbers ending on (9 - 6 = 3) which are dividably by 7 are: 63 + n * 70, corresponding to the series of 63, 133, 203, 273, 343, etc. yielding X values 69, 139, 209, 279, 349, etc.
X/6 has remainder 5. This means that X - 5 is dividable by 6. The only numbers ending on (9 - 5 = 4) dividable by 6 are: 24 + n * 60 and 54 + n * 60, contracting to 24 + n * 30. This yields the series 24, 54, 84, 114, 144, etc., corresponding to X values of 29, 59, 89, 119, 149, etc.
X/5 with remainder 4 yields us information we have already, namely that number must end on 9.
X/4 with remainder 3 tells us the same information that X/8 with remainder 7 tells us.
X/3 with remainder 2 tells us that X - 2 is dividable by 3. This yields the series 27 + n * 30, i.e. X values of 29, 59, 89, 119, 149, etc., the same as from X/6.
Finally, X/2 tells us number is uneven, which we already knew (it ends with 9).
To sum things up, we have 4 possible series of X values:
From 9: X belongs to: 89, 179, 269, 359, 449, etc.
From 7: X belongs to: 69, 139, 109, 279, 349, etc.
From 4: X belongs to: 39, 79, 119, 159, 199, etc. (also came from 8)
From 3: X belongs to: 29, 59, 89, 119, 149, etc. (also came from 6)
So, our objective is to find the smallest number present in all series. This is where a spreadsheet comes handy - but we can work around it! Like Geny sais, it's convenient to look at the number X + 1. From the above, we see that:
From 9: X+1 belongs to: 90, 180, 270, 360, 450, etc. = n * 90.
From 7: X+1 belongs to: 70, 140, 210, 280, 350, etc. = n * 70.
From 4: X+1 belongs to: 40, 80, 120, 160, 200, etc. = n * 40.
From 3: X+1 belongs to: 30, 60, 90, 120, 150, etc. = n * 30.
So, our objective is to find a number dividable by both 90, 70, 40 and 30. Since 90 = 3 * 30, any number dividable by 90 is by default dividable by 30. This reduces to find a common multiplum, of 90, 70 and 40.
Now, furthermore, since X ends with 9, with know that X + 1 ends with 0. That means that (X + 1)/10 is an integer, and must belong to one of these series:
From 9: (X+1)/10 belongs to: 9, 18, 27, 36, 45, etc. = n * 9.
From 7: (X+1)/10 belongs to: 7, 14, 21, 28, 35, etc. = n * 7.
From 4: (X+1)/10 belongs to: 4, 8, 12, 16, 20, etc. = n * 4.
The problem then reduces to finding a common multiplum of 9, 7 and 4. One such number, obviously, is 9 * 7 * 4 = 252. This yields:
(X+1)/10 = 252 <=>
X + 1 = 2520 <=>
X = 2519
As you can see, this method is not quite as elegant as Geny's, but well, that was how I figured it out.
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What will happen now?
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Mamgaeater
Legendary Hero
Shroud, Flying, Trample, Haste
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posted November 19, 2008 08:49 PM |
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well enough people have begun osting so i guess i'll just post corrections here... feel free to suggest questions. and this isn't really completely logic based. some parts involve wordplay.
@ asheera
1.) others have corrected this
3.)its a fork there are only two roads... wrong anyways. unless you can prove it
4.)No there is a pattern and that is a stack not a line that skips a space
5.)No comment
6.)
7.) NO, this one is kinda subtle but once it's pointed out many will realize it.
8.)this isn't actually a question its a paradoxical statement.
9.)Yes digging a hole does not put dirt into it.
10.)
11.) can you post that in the format i provided?
12.) publicly discussed and solve like 1
13.) you managed to see my trick... well it's not my trick
@William 7.)No
@alci both are correct
@Hell
1.) no
2.)no
3.) how does this help you?
7.) no
9.) what did you say exactly?
10.) ceiling is ten feet of steel
11.) not complete
12.) see asheera
@ geny
2.) yes (This puzzle is actually one daystar should know. i changed the names a bit.
3.)
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Protection From Everything.
dota
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Asheera
Honorable
Undefeatable Hero
Elite Assassin
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posted November 19, 2008 08:53 PM |
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Quote: 3.)its a fork there are only two roads...
I thought that there's also the road from which you came from...
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alcibiades
Honorable
Undefeatable Hero
of Gold Dragons
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posted November 19, 2008 08:54 PM |
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@ 7: The centerstone in the arc below the bridge has edges slanting the wrong way. It should fall out of the arc (possibly causing the bridge to collapse).
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What will happen now?
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Asheera
Honorable
Undefeatable Hero
Elite Assassin
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posted November 19, 2008 08:58 PM |
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7: It says www.smart-kit.com in the upper-right.
lol joking
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Mamgaeater
Legendary Hero
Shroud, Flying, Trample, Haste
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posted November 19, 2008 09:04 PM |
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but you know where that leads to and they know that you know.
@ alci - there it is
(in other words. the keystone is in wrong.)
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Protection From Everything.
dota
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Hell_Wizard
Famous Hero
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posted November 19, 2008 09:11 PM |
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Quote: @Hell
1.) no
2.)no
3.) how does this help you?
7.) no
9.) what did you say exactly?
10.) ceiling is ten feet of steel
11.) not complete
12.) see asheera
3. The liar will always say "No", because if he says "Yes" they are both liars
9. Well, when you dig a hole in dirt, part of the dirt you digged falls in.
10. You said only the walls are 10 feet steel
11. I sayed I'm tired today
12. You mean 13.
13. I thought that 32:2 = 16, 16:2 = 8, 8:2 = 4, 4:2 = 2, 2:2 = 1(logical end), but 1:2 = 0,5 etc.
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Asheera
Honorable
Undefeatable Hero
Elite Assassin
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posted November 19, 2008 09:18 PM |
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Edited by Asheera at 21:19, 19 Nov 2008.
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Quote: 11.) can you post that in the format i provided?
Ok sorry I skipped this, I just remembered it now.
55 + 42 = 97
30 + 12 = 42
97 + 12 = 109
... or are we not supposed to repeat the same number for multiple letters?
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Mamgaeater
Legendary Hero
Shroud, Flying, Trample, Haste
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posted November 19, 2008 09:19 PM |
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Quote:
Quote: @Hell
1.) no
2.)no
3.) how does this help you?
7.) no
9.) what did you say exactly?
10.) ceiling is ten feet of steel
11.) not complete
12.) see asheera
3. The liar will always say "No", because if he says "Yes" they are both liars
9. Well, when you dig a hole in dirt, part of the dirt you digged falls in.
10. You said only the walls are 10 feet steel
11. I sayed I'm tired today
12. You mean 13.
13. I thought that 32:2 = 16, 16:2 = 8, 8:2 = 4, 4:2 = 2, 2:2 = 1(logical end), but 1:2 = 0,5 etc.
3.) but does this tell you how to reach the destination?
9.) ...
10.) its a room with walls 10 feet thick. it probably got disoriented during translation...
13.) first of all i said subtract not divide.
second of all after the first time you aren't subtracting from 32 anymore.
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Protection From Everything.
dota
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Hell_Wizard
Famous Hero
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posted November 19, 2008 10:29 PM |
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Sorry, I don't know maths in english. I'll learn them for next time.
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Nikita
Famous Hero
Meepo is underrated
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posted November 20, 2008 12:20 AM |
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So who has most of them right from 1-10?
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Djive
Honorable
Supreme Hero
Zapper of Toads
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posted November 20, 2008 01:13 AM |
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2.
Since both Jim and and Mogg point out liars, at least one of them is correct. Thus the liar is either Man, Zero or Bob. Thus Mogg, Jim and Phil are honest.
Since both Jim and Mogg are honest, the liar must be Zero.
3.
Which road would the other guy advice me to take?
Then take the other road.
10.)
Stand on the table and make a hole in the ceiling with the saw?
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"A brilliant light can either illuminate or blind. How will you know which until you open your eyes?"
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Mamgaeater
Legendary Hero
Shroud, Flying, Trample, Haste
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posted November 20, 2008 01:22 AM |
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@ asheera right!
@Jive
no
yes
no
@ nikita
I don't honestly care...
but if people PM me their answers i can be more organized.
and create a scoreboard.
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Protection From Everything.
dota
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Fauch
Responsible
Undefeatable Hero
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posted November 20, 2008 02:10 AM |
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Edited by Fauch at 02:21, 20 Nov 2008.
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1) C
2) Zero (only one person is lying, so if bob, phil or man were lying, the people they name would be lying too, mogg is honest and says bob or zero is lying, bob is honest, so zero is lying.)
3) can you show me the path to "insert town name here" the honest guy will say yes and show the path, the liar will say no. and we know they both know the right path.
5) to asheera : humanized picture? maybe they were playing in a movie.
7) near the shadow of the man, you should see the shadow of the bridge
9) there is no dirt in the hole (otherwise it's not a hole)
10) the same way you entered it
13) as many as you want. 32 - 2x.
x can be as big as you want, you will still be substracting from 32.
14) he lives on the tenth floor. 7 floors + 3 flights of stairs = floor 10
15) b isn't the kind of person c is.
16) in the lead box
17) 2 kg
19) ,
20) if the diameter of a round manhole cover is the same as the length of a square one, the round one is smaller and less heavy.
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Mamgaeater
Legendary Hero
Shroud, Flying, Trample, Haste
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posted November 20, 2008 02:27 AM |
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Quote: 1) C
2) Zero (only one person is lying, so if bob, phil or man were lying, the people they name would be lying too, mogg is honest and says bob or zero is lying, bob is honest, so zero is lying.)
3) can you show me the path to "insert town name here" the honest guy will say yes and show the path, the liar will say no. and we know they both know the right path.
5) to asheera : humanized picture? maybe they were playing in a movie.
7) near the shadow of the man, you should see the shadow of the bridge
9) there is no dirt in the hole (otherwise it's not a hole)
10) the same way you entered it
13) as many as you want. 32 - 2x.
x can be as big as you want, you will still be substracting from 32.
14) he lives on the tenth floor. 7 floors + 3 flights of stairs = floor 10
15) b isn't the kind of person c is.
16) in the lead box
17) 2 kg
19) ,
20) if the diameter of a round manhole cover is the same as the length of a square one, the round one is smaller and less heavy.
1.) no
2.) NO
3.) no (they both will point to different paths...)
5.) it was a photo developer...
7.) no
9.) Spot on
10.) clever but not quite it. (this is a play on words.)
13.) no after the first time you are no longer subtracting 2 from 32.
14.) yeah but why does he do that?
15.) explain
16.) No
17.) correct
19.) correct (i assume that , means a decimal point in your country right?)
20.) not quite it.
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Protection From Everything.
dota
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Fauch
Responsible
Undefeatable Hero
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posted November 20, 2008 02:42 AM |
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Edited by Fauch at 02:43, 20 Nov 2008.
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Quote:
1.) no
2.) NO
3.) no (they both will point to different paths...)
5.) it was a photo developer...
7.) no
9.) Spot on
10.) clever but not quite it. (this is a play on words.)
13.) no after the first time you are no longer subtracting 2 from 32.
14.) yeah but why does he do that?
15.) explain
16.) No
17.) correct
19.) correct (i assume that , means a decimal point in your country right?)
20.) not quite it.
1) well I see why
2) hum?
3) well, the question is "can you" they both can, but only one will show he can, and pointing the direction is a reflex
5) you refer to the photo as "him"
13) you can substract multiple times 2 from 32 the 1st time
14) because he lives on the tenth floor
15) if b is lying, c tells the truth, if c is lying, b tells the truth
19) yes
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Mamgaeater
Legendary Hero
Shroud, Flying, Trample, Haste
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posted November 20, 2008 02:46 AM |
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Quote:
Quote:
1.) no
2.) NO
3.) no (they both will point to different paths...)
5.) it was a photo developer...
7.) no
9.) Spot on
10.) clever but not quite it. (this is a play on words.)
13.) no after the first time you are no longer subtracting 2 from 32.
14.) yeah but why does he do that?
15.) explain
16.) No
17.) correct
19.) correct (i assume that , means a decimal point in your country right?)
20.) not quite it.
1) well I see why
2) hum?
3) well, the question is "can you" they both can, but only one will show he can, and pointing the direction is a reflex
5) you refer to the photo as "him"
13) you can substract multiple times 2 from 32 the 1st time
14) because he lives on the tenth floor
15) if b is lying, c tells the truth, if c is lying, b tells the truth
19) yes
3.) the liar will point down the wrong road however.
5.) I'm confused
13.) but you only subtract 2 from 32 once after its 2 from 30 and so on so forth
14.) but why doesn't he take the elevator all the way up?
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Protection From Everything.
dota
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