Mathematical Puzzle
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Both triangles are made of identical parts. In the bottom one is one empty square though. How is it possible?
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A frog is at the bottom of a 30 meter well. Each day he summons enough energy for one 3 meter leap up the well. Exhausted, he then hangs there for the rest of the day. At night, while he is asleep, he slips 2 meters backwards. How many days does it take him to escape from the well?
Note: Assume after the first leap that his hind legs are exactly three meters up the well. His hind legs must clear the well for him to escape.
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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- 1,614.3K 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- 1,620.6K views
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