Answer - no
Solution - Consider the subcubes to form a three dimensional checkerboard composed of subcubes of swiss and cheddar cheese. Assume the corners and centers of each face are swiss cheese and the rest of the subcubes, including the center, are cheddar cheese. Assume the mouse eats two subcubes an hour. At the beginning of every hour the mouse will be starting on a swiss subcube and will end the hour with a subcube of cheddar cheese. After 13 hours the mouse will have just finished a cheddar subcube. However the center subcube is also cheddar. Since two adjacent cubes must be of different kinds of cheese the mouse can not eat the center cube last.
Sunday, July 3, 2011
Solution to TRUTHS, FALSEHOOD, RANDOMNESS
There are six possible sceanarios:
Truth Lying Random
Guy Guy Guy
----- ----- ------
I A B C
II A C B
III B A C
IV B C A
V C A B
VI C B A
Label the three men A, B, and C and tell each man who is what letter.
Step 1: Ask A, "Is B more likely to tell the truth than C?" If yes go to step 2, if no go to step 5.
Step 2: Ask C, "Are you the random guy?" If yes go to step 3, if no go to step 4.
Step 3: Ask C, "Is A the truth guy?" If yes then scenario IV, if no then scenario II.
Step 4: Ask C, "Is A the lying guy?" If yes then scenario V, if no then scenario VI.
Step 5: Ask B, "Are you the random guy?" If yes then step 6, if no then step 7.
Step 6: Ask B, "Is A the truth guy?" If yes then scenario VI, if no then scenario I.
Step 7: Ask B, "Is A the lying guy?" If yes then scenario III, if no then scenario IV.
Truth Lying Random
Guy Guy Guy
----- ----- ------
I A B C
II A C B
III B A C
IV B C A
V C A B
VI C B A
Label the three men A, B, and C and tell each man who is what letter.
Step 1: Ask A, "Is B more likely to tell the truth than C?" If yes go to step 2, if no go to step 5.
Step 2: Ask C, "Are you the random guy?" If yes go to step 3, if no go to step 4.
Step 3: Ask C, "Is A the truth guy?" If yes then scenario IV, if no then scenario II.
Step 4: Ask C, "Is A the lying guy?" If yes then scenario V, if no then scenario VI.
Step 5: Ask B, "Are you the random guy?" If yes then step 6, if no then step 7.
Step 6: Ask B, "Is A the truth guy?" If yes then scenario VI, if no then scenario I.
Step 7: Ask B, "Is A the lying guy?" If yes then scenario III, if no then scenario IV.
Friday, July 1, 2011
Solution to GLOBE TRAVERSAL
the North Pole. AND, a ring near the South Pole, slightly more than 1 mile North of the South Pole, where after you go 1 mile South, you walk in a 1 mile circle totally around the South Pole, then North back to where you started.
This covers most of the answer, but you could also start out a bit closer to the south pole, such that your walk that circles totally around the south pole is only 1/2 mile in length, and you do it twice. This is another ring of answers, and if you do the circle walk 3 times, this is another rings of answers, and so forth.
This covers most of the answer, but you could also start out a bit closer to the south pole, such that your walk that circles totally around the south pole is only 1/2 mile in length, and you do it twice. This is another ring of answers, and if you do the circle walk 3 times, this is another rings of answers, and so forth.
Solution to WHO AM I?
1) Nothing
2) A human life cycle as it walks on 4 limbs when a infant on two when growing and three when old i.e. 2 legs + a support stick
3) The letter E
4) A river
5) The future
6) Stars
7) A water mellon
8) The letter N
9) puggry(but this in not a popular word but some say it is a word) and answer is "Language"
10) A cofin
11) Darkness
12) A Penny
13) Bookkeeper. An alternate, tricky, answer could be Woollen (where W is a "double u")
14) Charcoal
15) An ear of corn
16) Fire
17) Iron ore
18) Few
19) Stove, fire, smoke
20) A frog. The frog is an amphibian in the order Anura (meaning "tail-less") and usually makes noises at night during its mating season.
21) The past. (Longfellow)
22) Wine
23) Wind
24) Your heart
25) Time
26) Gold
27) A fart
28) Iceberg
29) Shadow
30) A candle
31) Blue
32) Icicle
33) An echo
34) Water
35) Music
2) A human life cycle as it walks on 4 limbs when a infant on two when growing and three when old i.e. 2 legs + a support stick
3) The letter E
4) A river
5) The future
6) Stars
7) A water mellon
8) The letter N
9) puggry(but this in not a popular word but some say it is a word) and answer is "Language"
10) A cofin
11) Darkness
12) A Penny
13) Bookkeeper. An alternate, tricky, answer could be Woollen (where W is a "double u")
14) Charcoal
15) An ear of corn
16) Fire
17) Iron ore
18) Few
19) Stove, fire, smoke
20) A frog. The frog is an amphibian in the order Anura (meaning "tail-less") and usually makes noises at night during its mating season.
21) The past. (Longfellow)
22) Wine
23) Wind
24) Your heart
25) Time
26) Gold
27) A fart
28) Iceberg
29) Shadow
30) A candle
31) Blue
32) Icicle
33) An echo
34) Water
35) Music
Solution to COIN UNBIASING
Solution 1 - 1) Flip the coin twice.
2) If you get HT, guy #1 wins. If you get TH, guy #2 wins. These are equally probably, regardless of p.
3) If you get HH or TT, go to step 1)
Solution 2 - You hide the coin in one of your hands, and ask your rival to guess which hand has it.
Solution 3 - we know that heads is more likely. So both parties take turns flipping until they get tails. Whoever gets tails in fewer flips wins. If you both get tails on the first try, restart.
Solution 4 - A very practical solution: Why can't the girl just choose which bloke she likes better? :P
2) If you get HT, guy #1 wins. If you get TH, guy #2 wins. These are equally probably, regardless of p.
3) If you get HH or TT, go to step 1)
Solution 2 - You hide the coin in one of your hands, and ask your rival to guess which hand has it.
Solution 3 - we know that heads is more likely. So both parties take turns flipping until they get tails. Whoever gets tails in fewer flips wins. If you both get tails on the first try, restart.
Solution 4 - A very practical solution: Why can't the girl just choose which bloke she likes better? :P
Solution to KNIGHT VS. DRAGON
since both dragon and knight are enemies , they will try their best bet.
So dragon bring a glass from 7th well to which their is no antidote.
but now knight has trick .
before coming to the duel he drinks a glass from the 1st well...
hence the glass from the 7th well given to him by dragon acts an antidote :-)
now how does the dragon die ....
dragon knows that knight can bring water from only 1-6 numbered wells
so it can drink a glass from 7th well after the duel to neutralize the effect ....
but knight is smart enough , he anticipates this and bring a glass of water from the SEA/OCEAN (after all they live on a island ;-) ) which is poison-less....
dragon unaware of this fact still drinks a glass from 7th well and dies....
So dragon bring a glass from 7th well to which their is no antidote.
but now knight has trick .
before coming to the duel he drinks a glass from the 1st well...
hence the glass from the 7th well given to him by dragon acts an antidote :-)
now how does the dragon die ....
dragon knows that knight can bring water from only 1-6 numbered wells
so it can drink a glass from 7th well after the duel to neutralize the effect ....
but knight is smart enough , he anticipates this and bring a glass of water from the SEA/OCEAN (after all they live on a island ;-) ) which is poison-less....
dragon unaware of this fact still drinks a glass from 7th well and dies....
Solution to MYSTERIOUS TRIANGLE AREA
When you put the pieces that form the hypothenuse, you do not get the real value what it's supposed to be (square root of 13^2 plus 5^2). This is because the angle of the blue piece is smaller than the angle of the red piece (with angle i mean the left lower corner of each piece). When we rearrange them, the red and blue switch places and now the angle of the red is bigger than the angle of the blue. The first time the triangle bent in a bit if you would zoom in. Now the triangle bends out. You cannot see this because the line is thick. The area added when the triangle changed from bent in to bent out (really thin parallelogram) is now subtracted by the empty square. That way matter is conserved. Otherwise (it may seem weird) matter would be lost!!!
P.S. Anyone who still doesn't get it e-mail me at a_red_sani@yahoo.co.in
P.S. Anyone who still doesn't get it e-mail me at a_red_sani@yahoo.co.in
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