6 January 2013

9 minutes!

Finally found a great and logical answer to the question – Why do those clocks snooze for 9 minutes? (instead of a more logical 10 minutes or 15 minutes ….). You may have already known it but I did not. Before I tell you what I read, let me ask you – why do you think it is that way?

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16 December 2012

Tire wear and tear

I got this puzzle from my brother-in-law today (all your jokes about troubles created by inlaws to be inserted here 🙂 ). I believe I have arrived at the right answer but since he does not know the answer himself, would like to see if others can prove or disprove me.
A car’s wear and tear pattern is such that any new tire put in the front can last 40,000 miles and the ones in the rear can last 60,000 miles. You are given four new tires to begin with and you can interchange the tires between front and rear as many times as you want. What is the maximum distance you can drive?

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16 December 2012

Probability of a son

Strictly speaking, it is not puzzle time since I am flying out of Atlanta not to Atlanta. But what the hell, it is holiday season… so, here goes..
I was addressing a large audience this morning and asked those who have two kids to raise their hands. Then I asked – of all the people who have their hands raised – to keep their hands raised if one of their child is a son born on a Sunday. They rest can put their hands down. Now I picked any one from the ones left with their hands raised. What is the probability that their other child is a son?
(assume equal probability for having a son or a daughter or which day of the week a child is born).

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25 October 2012

Bird and the trees

It has been a tough time travel wise. Always weird when you fly back to home town for a few hours and not see your family. Anyways, on to more important things.. puzzle time…

Imagine a vertical tree 80 ft tall and a crow sitting right on the top of it. Now imagine a vertical tree 60 ft tall about 100 ft away from the first tree. The crow wants to fly to the top of the second tree BUT has to hit the ground once first enroute (essentially flying in two straight lines). What is the point on the ground it should hit so that it has to fly the least distance in all? 

Don’t worry about the dimensions. Think about the intuitive answers…

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8 October 2012

Cannibals

It is Thursday evening and I did not travel this week. But I had a long long day. So, it counts as travel. And thereforre, here goes the next puzzle (variation of the standard tiger, goat, pile of grass and a man crossing the river):
3 missionaries and 3 cannibals are trying to cross a river filled with piranhas. The boat can take max 2 of them at a time. But if the cannibals outnumber the missionaries at any point of time, they will eat them up. How can they cross safely?

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23 September 2012

Running…

So here is a puzzle that occurred to me while running yesterday (I know, I know, I need to get a life 🙂 ) Two runners start from point A and run at uniform (but different from each other) speeds to a point B exactly a mile apart and run back and keep doing this till they meet at either end (A or B). If their speeds are “m” mins/mile and “n” mins/mile (m not equal to n, and m and n are whole integers), how would you find out after how many minutes will they meet (they stop if they meet at A or B)?

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20 September 2012

Fill in the blanks

Usually, I fly home on Thursdays. This time I am flying out on Thursday. Nonetheless, puzzle time. Fill in the dashes with the digits 1, 2, 3, 4, 5 and 6 so that the equality stands. (the evaluation is done strictly from left to right – so 6 – 2 x 3 = 12 and not 0).

_ + _ – _ x _ / _ x _ = 50

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23 August 2012

Star

Forgot to post a puzzle on my flight back from DC.
Here is one I remember from my childhood days.
Think about a simple picture of a star with 5 corners (not 6). I have attached a picture. So, there are 10 points – 5 outside and 5 inside (I marked them 1 thru 10 in the picture). The goal of the puzzle is to check off as many of those points as you can. The process of how to check off is the following: You start from any unchecked point and then going in a straight line, skip the next point (checked or unchecked) and the next point you land on gets checked off. So, if you start from 8, you can skip 6 and check off 5 or skip 10 and check off 1. Then you start from another unchecked point and keep doing this. You always have to start from an unchecked point. Question is – what is the maximum number of points you can check off and how.
(as always, if you know or think have found the answer, send me a personal message)

Image

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17 July 2012

24

Atypical week – returning home on Tuesday. Too tired to do the Thursday thinking… So, here is a simpler math puzzle. Using 8,8,3 and 3, can you get 24? You are allowed to use only plus, minus, multiply and divide. Strictly speaking, parentheses should be allowed too. But that is it. Private message me if you know/found the answer.

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