Tuesday, September 29, 2009
Wednesday, September 23, 2009
Saturday, September 19, 2009
Problem:
Let there are two cone.one contains 1 litre milk and other contain 1 litre water.if i take one cup milk from first and droped into second.then again i took one cup mixture from seecond and droped into first one.Is the amount of milk in first is same as amount of water in second?
Ans: yes
explanation:
let amount of liquid in cup is c.
cane 1 cane 2
step 1:
Water 0 1
milk 1 0
step2:
water 0 1
milk 1-c c
conc^n of milk in second cone is c/(1+c) and of water 1/(1+c)
in one cup amount of milk =c* c/(1+c) amount of water c/(1+c)
step3:
water c/(1+c) 1-c/(1+c)=1/(1+c)
milk 1-c+c*c/(1+c)=1/(1+c) c-c*c/(1+c)=c/(1+c)
...proved
River crossing puzzle
There are 3 couples who want to cross the river.
Raja-wife A - P
Wajir-wife B - Q
Sainik-wife C - R
Rule s
1. There is a boat of capacity 2.
2. Saink and his wife cant travel with other fours since they are of low category
3. If on any side there is a single man with either 2 or 3 wives, he will run away with them .For the sake of simplicity I assumed the characters as below and in same order –
Males - A B C
Females -P Q R
A | B | C | | | |||
P | Q | R | | | |||
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A | B | | | C | |||
P | Q | | | R | |||
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A | B | C | | | |||
P | Q | | | R | |||
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A | B | C | | | |||
| | P | Q | R | |||
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A | B | C | | | |||
R | | | P | Q | |||
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C | | | A | B | |||
R | | | P | Q | |||
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B | C | | | A | |||
Q | R | | | P | |||
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B | | | A | C | |||
Q | | | P | R | |||
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A | B | | | C | |||
P | Q | | | R | |||
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| | A | B | C | |||
P | Q | | | R | |||
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| | A | B | C | |||
P | Q | R | | | |||
| | A | B | C | |||
| | P | Q | ||||
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C | | | A | B | |||
R | | | P | Q | |||
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| | A | B | C | |||
| | P | Q | R |
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