Solution to Puzzle #35: Staying Alive in a Desert

I got a lot of responses to this puzzle, one of the highest responses I have had ever. Also, most of the answers were correct, and had a similar theme. The answer does not necessarily require a video, and hence giving the answer in text itself. Before I do that though, just wanted to recognize the first few correct answers – Anku Jain, Brahman Rattan, Ruchir Godura and Hans Chung were the first ones to come back with the correct answers – thanks!

The solution effectively lies in reducing the “granularity” of the pills – divide the three pills in your hand into half each and call the parts left half and right half. Put all the left half together (left bundle) and the right half together (right bundle). Take another pill A, divide into two halves, and take one half of this pill with the left bundle on Day 1, take the other half of Pill A with the right bundle on Day 2 and the remaining two pills on Day 3.

Some people also gave a similar answer, where instead of dividing into two halves, they suggested that we crush the pills, make them into a powder, mix and then take. This is also correct.

Hope you enjoyed the puzzle and survived the desert!

 

Posted in Solution | Tagged , | Leave a comment

Puzzle #35: Staying Alive in a Desert

I saw this puzzle at the recently organized TiE Conference in Delhi – so thanks to Priya who posted this puzzle. Here it goes:

You are a traveler in a desert full of mosquitoes. You know that if you get bitten the only way to stay alive is to take exactly one A pill and one B pill each day for 3 days. Fortunately, you bought these 6 pills with you on your trip. Unfortunately, you get bitten!

Being anxious you shake out one A pill from its bottle into your hand, but from the bottle B, two pills fall into your hand and you become confused as to which pill was the A pill and which were the B pills.

As the A and the B pill are absolutely identical except in chemical composition, you cannot know which is which? How do you survive?

As always, please send your answers to alokgoyal_2001@yahoo.com and if you like the puzzle, please do share it with others.

Happy staying alive!

Posted in Puzzles | Tagged , | 1 Comment

Solution to Puzzle #34: Another Set of Magic Squares

I received only two correct answers, from Tishyaa Chaudhry and Smiti Mittal – both brilliant kids – well done!

While brute force can help you arrive at the answer, the fun is in finding a method. The complete answer is at:

Hope you enjoyed the puzzle!

Posted in Solution | Tagged , | Leave a comment

Puzzle #34: Another Set of Magic Squares

I found this very nice set of number puzzles on the net on the following site – http://www.mathsphere.co.uk. The puzzle looks pretty innocuous, and by sheer brute and force, you can try to solve it, though it is not very easy until you find the method to do it.

So here it goes – Look at the figure below. Fill out each of the squares with numbers 1 through 8 (each number exactly once), so that the sum of numbers on each of the side equals to the number in the center.

Figure for Puzzle 34: Another Set of Magic Squares

Figure for Puzzle 34: Another Set of Magic Squares

As always, please send me your answers directly at alokgoyal_2001@yahoo.com and if you like the puzzle, please share with others.

Happy number crunching!

Posted in Puzzles | Tagged , , | Leave a comment

Solution to Puzzle #33: Running in Circles

Thanks again to Maneesh Dube for sending me this puzzle. Many people responded to this, however only a few got back to me with a complete answer. The ones who answered completely are Vikas Jangra and Ruchir Godura. Many others, including Maneesh himself gave only a partial answer.

The trivial answer is twice the speed. However, there are an infinite number of answers. Maneesh’s speed can be 2 times, 3/2 times, 4/3 times, …. (n+1)/n times faster than Nandini to meet at the same point. Complete solution on this link:

Hope you enjoyed the puzzle!

 

Posted in Solution | Tagged , | Leave a comment

Puzzle #33: Running in Circles

This is a very nice puzzle from a close friend – Maneesh Dube, based out of New Jersey.

Maneesh and his daughter, Nandini, are running around a circular park. Maneesh is running faster than Nandini. How much faster is Maneesh running than Nandini if they keep on meeting only at one point of the circle.

As always, please send your answers to alokgoyal_2001@yahoo.com and please do share with others if you like the puzzle.

Happy running!

Posted in Uncategorized | Tagged , , | Leave a comment

Solution to Puzzle #32: Removing the Coins

This was a relatively simple puzzle, though surprisingly I got very few answers – I guess people do not like geometric puzzles as much.

I got three correct answers this time, including the one from Arushi (my 6 year old) as well as Anisha (my 9 year old) and also from Smiti Mittal. Well done all three of you!

This was another of those puzzles where it is a good idea to start by solving a smaller puzzle and then going on to solve a bigger puzzle. The answer is on the following video link:

Hope you enjoyed the puzzle.

 

Posted in Uncategorized | Tagged , , , | Leave a comment

Puzzle #32: Removing the Coins

This is a very nice geometry puzzle taken from the Mathematical Circus, by Martin Gardner. The puzzle is originally devised by Kobon Fujimura, a leading puzzler from Japan.

Look at the figure below which has 10 coins arranged as an equilateral triangle. What is the smallest number of coins you must remove so that no equilateral triangle, of any size, will have its three corners marked by the centers of the coins that remain? As a hint, there is only one correct answer, excluding rotations and reflections of the same answers.

Equilateral Triangle with Coins

Equilateral Triangle with Coins

For children, please first try this with three coins, then with six and then with 10, it will also help them realize that to solve a bigger problem, they might first want to solve a smaller problem.

As always, please send the answers directly to me at alokgoyal_2001@yahoo.com and share it with others through your facebook/ linkedin in case you liked the puzzle.

Happy puzzling!

Posted in Puzzles | Tagged , | Leave a comment

Solution to Puzzle #31: Which Day Does Rahul Speak the Truth

I got many answers to this puzzle, and there was a very good response. Most of you answered the puzzle correctly. The first ones I got correct were from Anku Jain and Sid Pareek.

The correct answer is Tuesday.

Here is the correct answer (Sorry no video this time, traveling currently without an iPad), I am reproducing the one from Anku Jain without any changes – thanks Anku!

1) Both Day 1 and Day 3 cannot be a lie. If it were so, there would be at least 2 true days.

2) This means Day 2 is a lie for sure. So, this day has to be one of Mon, Tue, Wed, Fri

3) Now, if Day 1 is true, it has to be Wed or Fri (because Day 3 is a lie). However, either Wed or Fri is not possible because of the types of days possible on the next day.

4) This means Day 3 is true. It cannot be Mon because of previous day constraint. So, It has to be Tues.

Hope you enjoyed the puzzle!

Posted in Solution | Tagged , | Leave a comment

Puzzle #31: Which Day Does Rahul Speak the Truth?

This is a very cute puzzle which I read on the internet somewhere, but do not remember the source. In case anyone knows the source, please do let me know, I would love to credit the person. This is a nice dinner table puzzle!

Rahul is a strange liar. He lies on six days of the week, but on the seventh day he always tells the truth. He made the following statements on three successive days:

Day 1: “I lie on Monday and Tuesday.”

Day 2: “Today, it’s Thursday, Saturday, or Sunday.”

Day 3: “I lie on Wednesday and Friday.”

On which day does Rahul tell the truth?

As always, please send the answers directly to me at alokgoyal_2001@yahoo.com and share it with others through your facebook/ linkedin in case you liked the puzzle.

Happy puzzling!

Posted in Puzzles | Tagged , | Leave a comment