Question

write about 5 puzzles with solutions

Answer 1

1.A farmer has to take a hen, a fox, and some corn across a river. The farmer can only take one thing across at a time. Unless the farmer's present the fox will eat the hen and the hen eat the corn. How is it done?
Ans..The man and the chicken cross the river, (the fox and corn are safe together), he leaves the chicken on the other side and goes back across.

The man then takes the fox across the river, and since he can't leave the fox and chicken together, he brings the chicken back.

Again, since the chicken and corn can't be left together, he leaves the chicken and he takes the corn across and leaves it with the fox.

He then returns to pick up the chicken and heads across the river one last time.


2.a 24 litre bucket is full of lemonade .3 men want to have equal amounts of it to thave a take home, but they only have a 13 litre , a 5 litre , a 5 litre and an 11 litre bucket. how do they do it?

Ans..Here we follow these steps to divide 24 litre lemonade in 3 equal parts , So each can have 8 litre of lemonade , As :
As we can show :
24 , 13 , 11 , 5 bucket size
--------------------
24 , 0 , 0 , 0 lemonade in each bucket

Step 1 ) Fill 13 lt bucket out of 24 lt bucket , Now in 24 lt bucket total lemonade remains is 11 lt .

24 , 13 , 11 , 5 bucket size
--------------------
11 , 13 , 0 , 0 lemonade in each bucket

Step 2 ) Now fill 5 lt bucket out of 24 lt bucket , now in 24 lt bucket 6 lt remains , As :

24 , 13 , 11 , 5 bucket size
--------------------
6 , 13 , 0 , 5 lemonade in each bucket

Step 3 ) Fill 11 lt bucket out of 13 lt bucket , Now in 13 lt bucket total lemonade remains is 2 lt .

24 , 13 , 11 , 5 bucket size
--------------------
6 , 2 , 11 , 5 lemonade in each bucket

Step 4 ) That 2 lt lemonade from 13 lt bucket, we pour back to 24 lt bucket , And get

24 , 13 , 11 , 5 bucket size
--------------------
8 , 0 , 11 , 5 lemonade in each bucket

Step 5 ) Now we empty our 5 lt bucket into 13 lt bucket , And get

24 , 13 , 11 , 5 bucket size
--------------------
8 , 5 , 11 , 0 lemonade in each bucket

Step 6 ) Now we fill 13 lt bucket from 11 lt bucket , As :

24 , 13 , 11 , 5 bucket size
--------------------
8 , 13 , 3 , 0 lemonade in each bucket

Step 7 ) Now we fill lt bucket out of 13 lt bucket , and get

24 , 13 , 11 , 5 bucket size
--------------------
8 , 8 , 3 , 5 lemonade in each bucket

Step 8 ) Now we pour 5 lt lemonade into 11 lt bucket , and get

24 , 13 , 11 , 5 bucket size
--------------------
8 , 8 , 8 , 0 lemonade in each bucket

Now we can say we have divide 24 lt lemonade in three equal parts


3 .a queen (78kg), the prince (36kg) and the king (42kg) are stuck at the top of a tower .a pulley is fixed to the top of the tower. over the pulley is a rope a basket on each end . one basket has a 30kg stone in it. the baskets are enough for 2people or 1person and the stone .for safety's sake there can't be more than 6 kg differences between the weights of the baskets if some ones inside. how do the people all escape.?

Ans..To escape , queen ( 78 kg ) , king ( 42 kg ) and prince ( 36 kg ) , we follow these steps :

Step 1 ) Stone ( 30 kg ) goes up and prince ( 36 kg ) goes down . So

Up | Down
------------------------
Q , K , S | P

Step 2 ) Remove the stone from the basket and prince ( 36 kg ) goes up and king ( 42 kg ) goes down . So

Up | Down
------------------------
Q , P , S | K


Step 3 ) Now nothing goes up and stone goes down . So

Up | Down
------------------------
Q , P | K , S


Step 4 ) Now King with stone goes up and queen goes down . So

Up | Down
------------------------
K , S , P | Q

Step 5 ) Now nothing goes up and stone goes down . So

Up | Down
------------------------
K , P | Q , S


Step 6 ) Stone ( 30 kg ) goes up and prince ( 36 kg ) goes down . So

Up | Down
------------------------
K ,S | Q , P


Step 7 ) Now nothing goes up and stone goes down . So

Up | Down
------------------------
K | Q , P , S


Step 8 ) Remove the stone from the basket and prince ( 36 kg ) goes up and king ( 42 kg ) goes down . So

Up | Down
------------------------
P | Q , K , S

Step 9 ) Stone ( 30 kg ) goes up and prince ( 36 kg ) goes down . So

Up | Down
------------------------
S | K, Q , P

So now we have all three persons down from the top of the tower .