21 March 2022

The other Chakraborty-Dutta duo

Last week I met Baisakhi and her son – Utsab (alias Kintu) in Durgapur. Missed Sagar since he was in Kolkata for some work. While I almost always meet them in their house, about six years back, I had the chance to meet all of them in the USA. They were visiting Sagar’s brother in Minnesota and I had shown up! Actually to keep a promise to Utsab.

I did not get a chance that day to meet Sagar’s brother Suban (alias Kuntal) but I did meet his sister in law – Tumpa. Ever since, I have kept up with them (Tumpa and Kuntal – and by the way – no surprises on the usual FB friendship, birthday calls etc). They eventually moved to Orlando.

And I was in Orlando for a conference. You can do the math now. Fortunately, this time, I did get to meet Kuntal and we had a good “adda”. The highlight was to meet their dogs before we said good bye!

I also realized something else – both the brothers married a Dutta girl. Baisakhi’s maiden name was Dutta – just like Tumpa’s! Much like my brother and I – both of us married a “Ghose” girl. In our case, my sister married a “Ghose” boy too!!

20 March 2022

Puzzle #2 (logic) from my India trip

This puzzle also comes courtesy my eldest nephew.

There are 101 boxes. A girl marked them “1”, “2”, “3”…. all the way to “101”. She had two colored pens to mark the boxes with – red and blue. And she used both of them. Only one color was used for any one box. We know that the total number of blue boxes is the same as the highest numbered blue color marked box. And to that if you add twice the lowest numbered red color marked box, you will get the total number of boxes.

The question is, how many blue and red boxes were there?

17 March 2022

Puzzle #1 (math) from my India trip

This was given to me by my elder nephew. I was able to solve it but in the process I learnt a new concept in numbers called partition number. My nephew taught me a method of how to get to the partition number for a number. He claimed it is called the Chinese method.

Here is the puzzle:

In the following expression, once expanded, what is the coefficient of x9 ?

(1+x)(1+x2)(1+x3)(1+x4)(1+x5)….(1+x100)

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