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1 | 1 | # Top 20 Puzzle |
2 | | -1. [3 Ants and Triangle](#3-ants-and-triangle) |
3 | | -2. [Heaven and Hell](#heaven-and-hell) |
4 | | -3. 10 Coins Puzzle |
5 | | -4. Mislabeled Jars |
6 | | -5. 50 Red marbles and 50 blue marbles |
7 | | -6. Minimum cut problem |
8 | | -7. 100 Doors |
9 | | -8. Find the fastest horses |
10 | | -9. Calculate total distance traveled by bee |
11 | | -10. 3 cuts to cut the round cake into 8 equal pieces |
12 | | -11. Find the last ball to remain after the entire process |
13 | | -12. The Two Water Jug |
14 | | -13. 3 Bulbs and 3 switches |
15 | | -14. How to measure 45min using two identical wires |
16 | | -15. Find age of daughters |
17 | | -16. 10 Balls in 5 Lines |
18 | | -17. [Pay an employee using a gold rod of 7 Units](#pay-a-employee-using-a-gold-rod-of-7-units) |
19 | | -18. Torch and Bridge |
20 | | -19. Poison and Rat |
21 | | -20. Camel and Banana Puzzle |
| 2 | +- [3 Ants and Triangle](#3-ants-and-triangle) |
| 3 | +- [Heaven and Hell](#heaven-and-hell) |
| 4 | +- [10 coins Puzzle](#10-coins-puzzle) |
| 5 | +- [Mislabeled Jars](#mislabeled-jars) |
| 6 | +- [50 Red marbles and 50 blue marbles](#50-red-marbles-and-50-blue-marbles) |
| 7 | +- [Minimum cut Puzzle](#minimum-cut-puzzle) |
| 8 | +- [100 Doors](#100-doors) |
| 9 | +- [Find the fastest 3 horses](#find-the-fastest-3-horses) |
| 10 | +- [Calculate total distance traveled by the bee](#calculate-total-distance-traveled-by-the-bee) |
| 11 | +- [3 cuts to cut the round cake into 8 pieces](#3-cuts-to-cut-the-round-cake-into-8-pieces) |
| 12 | +- [Find the last ball to remain after the entire process](#find-the-last-ball-to-remain-after-the-entire-process) |
| 13 | +- [The Two water Jug](#the-two-water-jug) |
| 14 | +- [3 bulbs and 3 switches](#3-bulbs-and-3-switches) |
| 15 | +- [How to measure 45min using two identical wires](#how-to-measure-45min-using-two-identical-wires) |
| 16 | +- [Find the age of daughters](#find-the-age-of-daughters) |
| 17 | +- [10 balls in 5 lines](#10-balls-in-5-lines) |
| 18 | +- [Pay an employee using a gold rod of 7 units](#pay-an-employee-using-a-gold-rod-of-7-units) |
| 19 | +- [Torch and Bridge](#torch-and-bridge) |
| 20 | +- [Poison and Rat](#poison-and-rat) |
| 21 | +- [Camel and Banana Puzzle](#camel-and-banana-puzzle) |
22 | 22 |
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23 | 23 | ## 3 Ants and Triangle |
| 24 | +There are 3 ants sitting on three corners of a triangle. All ants randomly pick a direction and start moving along the edge of the triangle. |
| 25 | +What is the probability that any two ants collide? |
24 | 26 | ## Heaven and Hell |
25 | | -## Pay a employee using a gold rod of 7 Units |
| 27 | +There are two gates, one to hell and the other to heaven. Two gatekeepers, one from each gate. One of them always speak the truth and other always lies but you don't know which one guards which gate. you are allowed only one question and you need to find out the gate to heaven. |
| 28 | +what is the question? |
| 29 | +## 10 coins Puzzle |
| 30 | +You are blindfolded and 10 coins placed in front of you on the table. You are allowed to touch the coins but can't tell which way up they are by feel. |
| 31 | +you are told that there are 5 coins head up, and 5 coins tail up but not which one are which. can you make two piles of coins each with same number of heads up? you can flip the coins any number of time. |
| 32 | +## Mislabeled Jars |
| 33 | +There are 3 jars, namely A, B, C. All of them are mislabeled. Following are the labels of each of the jars. A:Candies, B:Sweets, C:Candies and Sweets mixed. you can put your hand in a jar and pick only one eatable at a time. Tell the minimum number of eatable(s) that has/have to be picked in order to label jar correctly. |
| 34 | +## 50 Red marbles and 50 blue marbles |
| 35 | +Give two boxes B1 and B2 one has 50 red marbles and the other has 50 blue marbles. A ball is selected randomly from any of the boxes and the task is to maximize the probability of selecting a red ball, by reshuffling marbles in the both boxes. |
| 36 | +## Minimum cut Puzzle |
| 37 | +you have got someone working for you for five days and a gold bar to pay him. You must give them a piece of gold at the end of the every day. |
| 38 | +what are fewest number of cuts to the bar of gold that can allow you to pay him 1/5th each day? |
| 39 | +## 100 Doors |
| 40 | +There are 100 doors in a row, all doors are initially closed. A person walks through all doors multiple times and toggle them in the following way |
| 41 | +in the first walk, the person toggles every door in the second walk, the person toggles every second door, i.e. 2th, 4th, 6th, 8th, ... in the third walk. the person toggles every third door i.e. 3rd, 6th, 9th, 12th,.. Likewise, in the 100th walk, the person toggles the 100th door. |
| 42 | +which doors are open at the end? |
| 43 | +## Find the fastest 3 horses |
| 44 | +There are 25 horses among which you need to find out the fastest 3 horses. You can conduct a race among at most 5 to find out their relative speed. |
| 45 | +At no point, you can find out the actual speed of the horse in a race. Find out the minimum number of races that are required to get the top 3 horses. |
| 46 | +## Calculate total distance traveled by the bee |
| 47 | +Two trains are on the same track they are coming towards each other. The speed of the first train is 50km/h and the speed of the second train is 70kmm/h. A bee starts flying b/w the trains when the distance b/w the trains is 100km. The bee first flies from the first train to the second train. |
| 48 | +Once it reaches the second train, it immediately flies back to the first train.. and so on the until train collide. Calculate the total distance traveled by the bee. The speed of bee is 80km/h |
| 49 | +## 3 cuts to cut the round cake into 8 pieces |
| 50 | +you have a birthday cake and have to cut it into 8 equal pieces by making 3 cuts only. How do you do it? |
| 51 | +## Find the last ball to remain after the entire process |
| 52 | +There are 20 red balls and 16 blue balls in a bag. Any 2 balls are removed at each step and are replaced with a new ball on the basis of the following condition: |
| 53 | +if they are of the same color, then they are replaced by a blue ball. if they are of diff color then they are replaced with a red ball. |
| 54 | +find the last ball to remain after the entire process. |
| 55 | +Here, replacement means that the new ball is inserted into the bag. Once you take out the ball, you do not put them back in the bag - so the balls keep reducing. |
| 56 | +## The Two water Jug |
| 57 | +You are on the side of the river. You are given an m liter jug and a n liter jug where `0`<`m`<`n`. Both the jug initially empty. |
| 58 | +The jugs don't have marking to allow measuring smaller quantities. you have to use the jug measure d liter of water where `d`<`n`. Determine the minimum number of operations to be performed to obtain d liters of water in one of the jugs. |
| 59 | +The operations you can perform are: |
| 60 | +- Empty jug |
| 61 | +- Fill a jug |
| 62 | +- Pour water from one jug to the another until one of the jugs is either empty or full. |
| 63 | +## 3 bulbs and 3 switches |
| 64 | +There is a room with a door(closed) and there light bulbs. Outside the room, there are three switches, connected to the bulb. You many manipulate |
| 65 | +the switches as you wish, but once you open the door you can't change them. Identify each switch with its bulb. All bulbs are in working condition. |
| 66 | +## How to measure 45min using two identical wires |
| 67 | +How do we measure 45min using two identical wires, each of which takes an hour to burn? |
| 68 | +we have a matchsticks with us. The wires burn non-uniformly. so for example, the two halves of the wire might burn in 10min and 50min respectively. |
| 69 | +## Find the age of daughters |
| 70 | +Alok has 3 daughters. His friend Shyam wants to know the ages of his daughters. Alok gives him the first hint. |
| 71 | +1. The product of their ages is 72. shyam says more hint |
| 72 | +2. The sum of their ages is equal to my house number. shyam says more hint |
| 73 | +3. the oldest girl likes strawberry ice cream. |
| 74 | +shyam is able to guess after third hint how? |
| 75 | +## 10 balls in 5 lines |
| 76 | +Given are ten balls, the task is to place these 10 balls in five lines such that each line contains exactly 4 balls. |
| 77 | +## Pay an employee using a gold rod of 7 units |
| 78 | +An employee works for an employer for 7 days. The employer has a gold rod of 7 units. How does the employer pay the employee, |
| 79 | +so that the number of employee's rod units increases by one at the end of each day? the employer can make at most 2 cuts in the rod. |
| 80 | +## Torch and Bridge |
| 81 | +There are 4 people (A,B,C,D) who wants to cross a bridge at night. |
| 82 | +1. A takes 1 min to cross the bridge |
| 83 | +2. B takes 2 min to cross the bridge |
| 84 | +3. C takes 5 min to cross the bridge |
| 85 | +4. D takes 8 min to cross the bridge |
| 86 | +## Poison and Rat |
| 87 | +There are 1000 wine bottles. One of the bottles contains poisoned wine. A rat dies after one hour of drinking the poisoned wine. |
| 88 | +How many minimum rats are needed to figure out which bottle contains poison in hour. |
| 89 | +## Camel and Banana Puzzle |
| 90 | +A person has 3000 bananas and a camel. The person wants to transport the max number of bananas to a destination which is 1000Km away. |
| 91 | +using only the camel as a mode of transportation. The camel cannot carry more than 1000 bananas at a time and eats a banana every km it travels. |
| 92 | +What is the maximum number of bananas that can be transferred to the destination using only camel(no other mode of transportation is allowed). |
26 | 93 |
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