MEMORY IS THE MOTHER OF WISDOM

what is the next no in following series

Q : 12 42 48 168 1722 ?

ans: 4542

explanation: reverse the digit of numbers and then mutliply by 2.

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

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	|
			|
A	B		|			C
P	Q		|			R
			|
A	B	C	|
P	Q		|			R
			|
A	B	C	|
			|	P	Q	R
			|
A	B	C	|
		R	|	P	Q
			|
		C	|	A	B
		R	|	P	Q
			|
	B	C	|	A
	Q	R	|	P
			|
	B		|	A		C
	Q		|	P		R
			|
A	B		|			C
P	Q		|			R
			|
			|	A	B	C
P	Q		|			R
			|
			|	A	B	C
P	Q	R	|
			|	A	B	C
			|	P	Q
			|
		C	|	A	B
		R	|	P	Q
			|
			|	A	B	C
			|	P	Q	R