Author Archives: Alok Goyal

Solution to Puzzle #75: Clock Reflection

Thanks for the response to this puzzle. I got correct answers from three people – Ashutosh Diwakar, Rajeev Deshpande and Pallav Pandey in that order. Well done! I am also taking the liberty of replicating Ashotosh’s solution which I thought was … Continue reading

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Puzzle #75: Clock Reflection

Here is a nice clock problem I found on a web site, originally created by Lewis Carroll. A clock has hour and minute hands of the same length and no numerals on its face. At what time between 6 and … Continue reading

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Solution to Puzzle #74: Overlapping Clock Hands

Apologies for not posting the answer last weekend, I was traveling. This was perhaps too simple a puzzle, and that is why I did not get a response from anyone! The correct answer is 22. An easy way to think about … Continue reading

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Puzzle #74: Overlapping Clock Hands

This is a relatively simple puzzle, more geared for children than for adults. My friend Alok Mittal recently asked this question in his Mathematical Circles class and also reminded me that he was asked this puzzle (probably 30 years back!) … Continue reading

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Solution to Puzzle #73: Find the Two Numbers

This was a difficult puzzle. Many people sent me the answers, though none of them were completely correct. One grade 11 student sent me the correct answer but the reasoning was not completely correct. So unfortunately no names on the … Continue reading

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Puzzle #73: Find The Two Numbers

This is a beautiful puzzle that came to me through an IITD friend (Sirisha), and I had not done before – thank you Sirisha! There are two friends A and B. Their teacher calls them separately and tells A, the … Continue reading

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Solution to Puzzle #72: Who Lies?

This was a relatively simple puzzle and lots of people answered correctly. First one to answer correctly was Anisha, my elder one (aged 10), though she had the benefit of getting the question at the time I was posting it. … Continue reading

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Puzzle #72: Who Lies?

This is a simple puzzle, hopefully the younger ones will like it too. I got inspired by this puzzle through Alok Mittal’s last Mathematical Circles class on “truth tellers and liars”. This puzzle is taken from Martin Gardner’s “The Colossal … Continue reading

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Solution to Puzzle #71: May The Fastest Horses Win

Apologies for not posting the solution last week, I was traveling on vacation on the weekend. This was a relatively difficult puzzle, but I was encouraged to see the number of people who responded, most of them with correct answers. … Continue reading

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Puzzle #71: May the Fastest Horses Win

A beautiful puzzle, initially given to me by a close friend – Naresh Kumra, while trekking to the Everest Base Camp two years back. Came across this again last week in MindCipher. The London racetrack needs to submit its top … Continue reading

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