Mathematical Puzzle
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There are twenty coins sitting on the table, ten are currently heads and tens are currently tails. You are sitting at the table with a blindfold and gloves on. You are able to feel where the coins are, but are unable to see or feel if they heads or tails. You must create two sets of coins. Each set must have the same number of heads and tails as the other group. You can only move or flip the coins, you are unable to determine their current state. How do you create two even groups of coins with the same number of heads and tails in each group?
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You have infinite supply of water. You also have 5 quart and 3 quart buckets. What is the least number of steps you will require to measure precisely 4 quarts?
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Two observations were made of a clock at different time:
1st observation:
The hour hand is exactly at a minute mark and the minute hand is six minutes ahead of it.2nd observation:
The hour hand is exactly on a dissimilar minute mark and the minute hand is seven minutes ahead of it.Can you find out how much time has passed between the above two observations?
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The number of hours left today is half of the number of hours already passed. What time is it?
A. 8:00 a.m.
B. 12:00
C. 14:00
D. 16:00View SolutionSubmit Solution- 1,454.4K views
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After the recent Puzzle annual marathon, the judges were comparing notes to determine who finished where. From their notes, can you help them to reconstruct the final result?
- Matthew Merryman beat Tom Trent and Jimmy James.
- Peter Piper beat Jimmy James, Tom Trent and Alan Ardman.
- Zach Zebra lost to Peter Piper.
- Graham Goodfellow beat Tom Trent
- Zach Zebra beat Frank Flintbone.
- Graham Goodfellow lost to Frank Flintbone and Peter Piper.
- Tom Trent beat Brian Brick.
- Alan Ardman beat Zach Zebra, Kevin Kingfisher and Graham Goodfellow.
- Kevin Kingfisher lost to Graham Goodfellow and Matthew Merryman.
- Brian Brick beat Kevin Kingfisher.
- Matthew Merryman lost to Alan Ardman and Zach Zebra.
- Frank Flintbone beat Tom Trent, Matthew Merryman and Brian Brick.
- Tom Trent lost to Jimmy James and Alan Ardman.
- Jimmy James beat Graham Goodfellow and Brian Brick.
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At the recent spring fete, four keen gardeners were displaying their fine roses.
In total there were four colours and each rose appeared in two colours.
From the clues below can you tell who had which colour roses?
- Mr Green had a yellow rose.
- Mr Yellow did not have a red one.
- Mr Red had a blue rose but not a green one.
- Mr Blue did not have a yellow one.
- One person with a red rose also had a green one.
- One person with a yellow rose also had a blue one.
- One of the persons with a green rose had no red.
- Neither of the persons with a yellow rose had a green one.
- No person has two roses of the same colour.
- No two persons had the same two colour roses and their names provide no clues.
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You are trying to cook an egg for exactly fifteen minutes, but instead of a timer, you are given two ropes which burn for exactly 1 hour each. The ropes, however, are of uneven densities – i e , half the rope length-wise might take only two minutes to burn. How can you cook the egg for exactly fifteen minutes?
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On Bagshot Island, there is an airport. The airport is the homebase of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)View SolutionSubmit Solution- 1,460.5K views
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You are the ruler of a medieval empire and you are about to have a celebration tomorrow. The celebration is the most important party you have ever hosted. You’ve got 1000 bottles of wine you were planning to open for the celebration, but you find out that one of them is poisoned.
The poison exhibits no symptoms until death. Death occurs within ten to twenty hours after consuming even the minutest amount of poison.
You have over a thousand slaves at your disposal and just under 24 hours to determine which single bottle is poisoned.
You have a handful of prisoners about to be executed, and it would mar your celebration to have anyone else killed.
What is the smallest number of prisoners you must have to drink from the bottles to be absolutely sure to find the poisoned bottle within 24 hours?
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On the day before the spacecraft was to return to
Earth, the Martians held a dinner party for the crew. In
all there were eight at the table: Aken, Bal, Mun, Mark,
Wora, Jones, Rider and Smith.
a. One was a history buff.
b. One was a whiz at math.
c. One was very tall.
d. One was Aken’s friend.
e. One had yellow feathers.
f. One was a pilot.
g. One was a rock collector.
h. One spoke a number of languages.
1. The person who was Aken’s friend sat directly
opposite Mark.
2. Wora sat between the math whiz and Aken’s
friend.
3. The tall one sat opposite Wora, with Aken to her
left.
4. Smith, who had no real friends among the group,
sat to the right of Mun who towered over the rest
of the group.
5. The one who had yellow feathers sat opposite Bal,
between Mun and the one who spoke a number of
languages.
6. Jones was to the right of the rock collector and
opposite the pilot who was next to Rider.
Who was Aken’s friend?View SolutionSubmit Solution- 1,455.0K views
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