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8 bottles of wine is given(bottles are numbered from 1 to 8). One of these bottles is poisoned. When wine from that bottle is given to a person, he dies after 1 hour. You need to find the bottle with poison by using minimum number of people for serving the wine from these 8 bottles and tell me the poisoned bottle number in 1 hour - based on the people alive and based on the people dead.
There is no restriction on the number of people die/alive. You need to minimize the number of people needed for your experiment(I mean - number of people to which u will serve wine).
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Given 2 egss and a building with 100 floors. Egg dropped from floor-number k or above(i.e k, k+1, ... 100) will be broken. Otherwise(i.e. when dropped from floors 1,2,... k-1), egg is not broken.
If you are given only one egg and asked to find out "k", u will have to obviously start from floor 1, floor 2, .... and go(reusing the egg) till the egg breaks.
(1) If u r given 2 eggs, what is the minimum worst case "number of drops" to find k ? What is ur strategy ?
(2) If u r given 3 eggs, what is the minimum worst case "number of drops" to find k ? What is ur strategy ?
(3) In general, for n floors(not 100 floors) and m eggs, what is the minimum worst case "number of drops" to find k ? What is ur strategy ?
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Given n balls and a balance. Find odd ball(at most 1 odd ball in all the questions) with minimum number of weighings:
(1) Odd ball exists(we know that the odd ball is light).
(2) Odd ball(Light/Heavy not known) exists.
(3) Odd ball is light/heavy known (odd ball may or maynot exists). We need to find the odd ball, if exists; tell that there is no odd ball if one doesn't exist.
(4) Odd ball is light/heavy not known, odd ball may or maynot exist.
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There are 4 buckets of coins. Real coins weigh one gram each. fake grams
weigh 2 grams each. Each bucket is fake (contains only fake coins) or real
(contains only real coins). You have weighing machine(not balance), which can be used for
only one weighing. If there are 9 coins per bucket, how can you determine
all the buckets that are fake with just one weighing.
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You are blindfolded and taken to a room, where you are asked to kneel.
You feel hundreds of circular discs lying in front of you. You are told
that one side of each disc is painted red, and the other, green. There
are exactly 129 discs that currently are red side up. You have to
divide the discs into two groups(both groups need not have same number of discs), such that each group has the same
number of discs showing the red colour.
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There are 100 doors in a long hallway. They are all closed. The first time you walk by each door,
you open it. The second time around, you close every second door (since they are all opened).
On the third pass you stop at every third door and open it if it’s closed, close it if it’s open.
On the fourth pass, you take action on every fourth door. You repeat this pattern for 100 passes.
At the end of 100 passes, what doors are opened and what doors are closed?
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There are four people A,B,C and D at the river bank and there is a boat, each one row the boat in different speed. To cross the rever takes them in 1min, 2 min, 5min and 10 mins respectively.
Boat capacity is only two people. If boat A and C then to cross the rever takes 5 mins.
Question is, you have to plan them in such a way that everyone should cross the river in 17 minutes.
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A man has a wolf, a goat, and a cabbage. He must cross a river with the two animals and the cabbage. There is a small rowing-boat,
in which he can take only one thing with him at a time. If, however, the wolf and the goat are left alone, the wolf will eat the goat. If the goat and the cabbage are left alone, the goat will eat the cabbage. How can the man get across the river with the two animals and the cabbage?
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A light bulb is hanging in a room. Outside of the room there are three switches, of which only one is connected to the lamp. In the starting situation, all switches are 'off' and the bulb is not lit. If it is allowed to check in the room only once to see if the bulb is lit or not (this is not visible from the outside), how can you determine with which of the three switches the light bulb can be switched on?
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A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometre stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
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