Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Friday, August 8, 2014

MYSTERY RIDDLE : 5 + 5 = 5 (Believe it or not)

HUMOUR AND WIT

MYSTERY RIDDLE

5 + 5 = 5  (Believe it or not)

Read this story:

One day the gourmet Mulla Nasrudin bought five kilos of the tastiest kababs  from the best restaurant in town to enjoy with his friends in the evening party he had organized for his closest friends.

He gave them to his wife with explicit instructions in how to serve them in the evening party and went out for a walk.

Mulla Nasrudin’s wife garnished the kababs and kept them in serving plates on the dining table.

Suddenly, her sister and her kids arrived unexpectedly.

Mulla Nasrudin’s wife’s noticed that her sister and her kids were staring at the mouth-watering kababs in hungry anticipation, so the wife asked her sister and her kids if they would like to taste a kabab.

“Yes,” they all said and so the wife, her sister and her kids tasted a kabab each.

The melt-in-the-mouth kababs were so delicious and tasty that they could not resist the temptation to eat a few more.

They loved the kababs so much that, while gossiping, they unconsciously kept popping the kababs into their mouths, till suddenly all the kababs were finished.

Then the wife’s sister and her kids said goodbye and left.

Mulla Nasrudin’s wife realized that the kababs were finished.

To salvage the situation Mulla Nasrudin’s wife quickly prepared pakoras to be served in lie of the kababs.

When Mulla Nasrudin’s friends arrived they were served pakoras instead of kababs.

After his friends had left, a furious Nasrudin demanded an explanation from his wife about why kababs were not served.

His wife meekly said that the pet cat ate up all the kababs.

“There were 5 kilos of kababs.  Don’t tell me the cat ate up the full 5 kilos of kababs,” Nasrudin shouted.

“Yes. Your cat ate all the kababs - the full 5 kilos. Why don’t you ask your darling cat instead of scolding me?” his wife said.

Mulla Nasrudin caught hold of his cat and put the cat on the weighing scale.

The cat weighed exactly 5 kilos.

Nasrudin looked at his wife and said, “The cat weighs 5 kilos and the kababs were 5 kilos.”

Nasrudin’s wife said, “So?”

Nasrudin asked, pointing to the cat sitting on the weighing scale and said to his wife:

Now, tell me my dear wife:

If this is the cat then where are the kababs? 

On the contrary if these are the kababs then where is the cat?


Cat (5 Kg) + Kabab (5 Kg) = Cat (5 Kg)

Please balance the equation!


Have a nice weekend

Monday, April 15, 2013

MATHEMATICAL PUZZLE FOR MONDAY MORNING - 17 Camels and 3 Sons


17 Camels and 3 Sons
An Apocryphal Story of a Miracle of Mathematics
By
VIKRAM KARVE 

I read this apocryphal story of a miracle of mathematical wisdom long back:


A man owned seventeen camels. 

This was his total property. 

Yes, his total property was 17 Camels.

When the man died he left behind three sons.

In his will he bequeathed that his property should be divided as follows:

Half (1/2) his property to his eldest son

One-third (1/3) his property to his second son

One-ninth (1/9) his property to his youngest son.

The sons were in a quandary wondering how to divide 17 camels into respective shares of half (1/2), one-third (1/3) and one-ninth (1/9) parts. 

Strictly calculating in accordance with the specified ratio ( 1/2 : 1/3 : 1/9 ) the shares worked out to be:

8.5 camels for the eldest son

5.67 camels for the second son

1.89 camels to the youngest son

Now how was it possible to divide camels in this manner?

So they took their 17 camels and went to the Wise Man for advice. 

The wise man was sitting beside his camel near the oasis.

The wise man heard their predicament and said:

“No problem. It can be done.  Add my camel to your 17 camels and now you tell me how many camels do you have?”

“17 + 1 = 18. We now have 18 camels,” they sons said.

“Good,” the Wise Man remarked.

The wise man looked at the eldest son and said:

“Your share is half of the total camels – half of 18 works out to be 9 – so take your nine camels and go away.”

Out of the 18 camels standing there, the eldest son took 9 camels and went away.

18 – 9 = 9

Now only 9 camels remained. 

Then the wise man looked at the second son and said:

“Your share is one third of the total camels – one third of 18 works out to be 6 – so take your six camels and leave.”

Out of the 9 camels standing there, the second son took 6 camels and walked away.

9 – 6 = 3

Now only 3 camels remained. 

The wise man looked at the youngest son and said:

“Your share is one ninth of the total camels – one ninth of 18 works out to be 2 – so take your two camels and leave.”

Of the 3 camels standing there, the youngest son took 2 camels and went away.

Now only one camel remained.

This was the Wise Man’s camel. 

The Wise Man took his camel and walked home, having successfully divided the 17 camels amongst the 3 sons as decreed in their father’s will.

Dear Reader: Is this not a miracle of mathematics?

Think about it and have a Happy Monday.

VIKRAM KARVE
Copyright © Vikram Karve 2013
Vikram Karve has asserted his right under the Copyright, Designs and Patents Act 1988 to be identified as the author of this work. 
© vikram karve., all rights reserved. 

NB:
No part of this Blog may be reproduced or utilized in any form or by any means, electronic or mechanical including photocopying or by any information storage and retrieval system, without permission in writing from the Blog Author Vikram Karve who holds the copyright.
Copyright © Vikram Karve 2013. All Rights Reserved

Did you like reading this blog post?
I am sure you will like all the 27 stories in my book  COCKTAIL an anthology of Short Fiction.
To order your COCKTAIL please click any of the links below:

http://www.flipkart.com/cocktail-vikram-karve-short-stories-book-8191091844?affid=nme
http://www.indiaplaza.in/cocktail-vikram-karve/books/9788191091847.htm
http://www.apkpublishers.com/books/short-stories/cocktail-by-vikram-karve.html

COCKTAIL ebook
If you prefer reading ebooks on Kindle or your ebook reader, please order Cocktail E-book by clicking the links below:
AMAZON

http://www.amazon.com/dp/B005MGERZ6
SMASHWORDS
http://www.smashwords.com/books/view/87925


Foodie Book:  Appetite for a Stroll
If your are a Foodie you will like my book of Food Adventures APPETITE FOR A STROLL. Do order a copy from FLIPKART:
http://www.flipkart.com/appetite-stroll-vikram-karve/8190690094-gw23f9mr2o

About Vikram Karve

A creative person with a zest for life, Vikram Karve is a retired Naval Officer turned full time writer and blogger. Educated at IIT Delhi, IIT (BHU) Varanasi, The Lawrence School Lovedale and Bishops School Pune, Vikram has published two books: COCKTAIL a collection of fiction short stories about relationships (2011) and APPETITE FOR A STROLL a book of Foodie Adventures (2008) and is currently working on his novel and a book of vignettes and an anthology of short fiction. An avid blogger, he has written a number of fiction short stories and creative non-fiction articles on a variety of topics including food, travel, philosophy, academics, technology, management, health, pet parenting, teaching stories and self help in magazines and published a large number of professional  and academic research papers in journals and edited in-house journals and magazines for many years, before the advent of blogging. Vikram has taught at a University as a Professor for 15 years and now teaches as a visiting faculty and devotes most of his time to creative writing and blogging. Vikram Karve lives in Pune India with his family and muse - his pet dog Sherry with whom he takes long walks thinking creative thoughts.

Vikram Karve Academic and Creative Writing Journal: http://karvediat.blogspot.com
Professional Profile Vikram Karve: http://www.linkedin.com/in/karve
Vikram Karve Facebook Page:  https://www.facebook.com/vikramkarve
Vikram Karve Creative Writing Blog: http://vikramkarve.sulekha.com/blog/posts.htm
Email: vikramwamankarve@gmail.com
Twitter: @vikramkarve
      
© vikram karve., all rights reserved.

Monday, June 25, 2012

THE DEVOTION OF SUSPECT X - A BRILLIANT THRILLER - BOOK REVIEW


THE DEVOTION OF SUSPECT X
BOOK REVIEW
By
VIKRAM KARVE

Details of the Book

Title: The Devotion of Suspect X
Author: Keigo Higashino
Originally Published in Japanese as Yogisha X No Kenshin by Bingeishunju Ltd (2005)
English Editions: First published in the United States in 2011 by Minotaur Books and First published in Great Britain in 2011 by Little, Brown
Translated from Japanese by Alexander O Smith and Elye J Alexander
ISBN  978-1-4087-0325-0
Pages: 374
Price: Rs. 350
Genre: Fiction (Soft Boiled Detective Novel)

I feel that a good novel should have four attributes:

1. PAGE TURNING QUALITY (PTQ)

As EM Forster enunciates in his seminal work Aspects of a Novel (1927) a novel tells a story and the story must be built around suspense – the question of  “what happens next?”

By definition: A story is a narrative of events arranged in their time sequence. Thus, in a novel there must be a “clock” which moves the story forward in time, and, more importantly, there must be suspense (what happens next) which engages the reader and urges the reader to keep reading the book till the very end. Yes, a novel must have Page Turning Quality (PTQ) and it is the two factors, pace and suspense, which impart PTQ to a novel.

The Devotion of Suspect X is an exciting novel with a fast-moving story and terrific suspense that gives it great Page Turning Quality (PTQ). This novel is a compelling yet easy read and the moment you start reading, the story is instantly engaging and never lets your attention slack. This book is real page-turner and is so engrossing that once you start reading it is simply “unputdownable”. The Devotion of Suspect X is a fascinating book and the writing has a riveting quality that induces you to read the novel in one sitting.

2. UNITY OF EFFECT

It was Edgar Allan Poe who emphasised that every author must strive to achieve “unity of effect” while writing a work of fiction. By the word “effect” he meant “emotional response”. The author must decide what effect he wants to create in the reader’s emotional response and then he must employ his creative powers to achieve that particular effect.

While reading this book I recalled, in my mind’s eye, the inimitable short story Lamb to the Slaughter by Roald Dahl. Just like Roald Dahl does while narrating his story, Keigo Higashino, by his skilful craftsmanship, succeeds in creating the emotional effect of “suspense” in the mind of the reader. The author focuses on the main plot and keeps his attention on the core storyline. He ensures that the plot twists and turns and keeps you captivated till the very end. He adheres to the unity of effect principle and avoids meandering into subplots (a temptation many writers succumb to).

By realizing the “unity of effect” principle, Keigo Higashino succeeds in creating and maintaining suspense throughout the novel and it is this suspense that makes you read this book to the very end – yes, The Devotion of Suspect X is a superbly crafted suspense novel.

3. ENDING

A strong ending leaves an “aftertaste” in the mind of the reader and this gives a novel an air of permanence and you remember the book for a long time. While PTQ will make you read the book and Unity of Effect will make you enjoy the book, it is the Ending that makes you remember the book – the first two attributes will make a book a “good” book but is the ending which will make it a “memorable” book – yes, it is the ending which distinguishes an ordinary book from a remarkable book.

The most impressive aspect of The Devotion of Suspect X is the brilliant “O. Henry Ending” which leaves you stunned and dumbfounded. The skilful way in which the author transforms the underlying suspense into unexpected out-of-the-blue surprise is indeed brilliant.

4. A SENSE OF VALUES

In his masterpiece Aspects of a Novel EM Forster defines a story as “a narrative of events arranged in their time sequence”. The basis of a novel is a story – the narration of events in the order they happened. But that alone is not enough – storytelling alone can never produce a great novel. Forster adds that a good novel must include a sense of value in the story.

In The Devotion of Suspect X , Keigo Higashino explores the famous mathematical conundrum, the P = NP Problem (also known as the P versus NP problem) which is generally considered unsolved till today. Simply stated, the P = NP Problem asks whether it is it easier to “solve” a problem than “verify” the correctness of someone else’s solution.

Which is easier: To “solve” a problem yourself or to “verify” the correctness of someone else’s solution to that problem.

Two of the principal protagonists, a mathematician and a physicist, have an intellectual duel and play a cat and mouse game, based on the P versus NP Problem, to find out whether it’s more difficult to think of the solution to a problem yourself or to ascertain if someone else’s answer to the same problem is correct

And as the mystery is unravelled the answer to the P = NP Problem becomes evident, at least from the author’s point of  view. The blurb says that the author is an Engineer and Keigo Higashino certainly demonstrates his analytical skills in plotting this crime thriller.

To sum up, The Devotion of Suspect X is a brilliant novel – it has terrific suspense which produces first-rate Page Turning Quality, unity of effect which engages the reader and makes it engrossing and unputdownable, a remarkable ending which stuns you and a meaty plot with analytical substance which imparts a sense of value.

This is not a hard boiled detective thriller nor is it a whodunit murder mystery. In fact, the author describes the murder in graphic detail right at the beginning of the novel and tells the reader why and how the crime is committed. As the story unfolds the “all-knowing” reader is given a grandstand view as he watches the riveting cloak and dagger action, observing the cat and mouse game as the detectives carry out their investigation and the protagonists try to outwit them. As red herrings emerge and the story livens up, the reader is kept in suspense till the very end wondering whether the detectives will be able to solve the case and catch the murderer or will the murderer be able outsmart the sleuths and escape scot-free. And suddenly, out-of-the-blue, you have a brilliant “O. Henry Ending” which imparts a fantastic sting in the tail. All these attributes makes this novel an extraordinary suspense thriller.

The Devotion of Suspect X is the best detective story I have read in recent times. I commend and recommend this book. You will enjoy reading this novel. Do get a copy of The Devotion of Suspect X. It is certainly worth having a copy of this book in your bookcase.

I thank the BlogAdda – Book Reviews by Bloggers Program for giving me the opportunity to review this book.

VIKRAM KARVE 
Copyright © Vikram Karve 2012
Vikram Karve has asserted his right under the Copyright, Designs and Patents Act 1988 to be identified as the author of this book review.
© vikram karve., all rights reserved.

Did you like this review?
I am sure you will like the 27 short stories from my recently published anthology of Short Fiction COCKTAIL 

To order your COCKTAIL please click any of the links below:
http://www.flipkart.com/cocktail-vikram-karve-short-stories-book-8191091844?affid=nme
http://www.indiaplaza.in/cocktail-vikram-karve/books/9788191091847.htm
http://www.apkpublishers.com/books/short-stories/cocktail-by-vikram-karve.html


COCKTAIL ebook
If you prefer reading ebooks on Kindle or your ebook reader, please order Cocktail E-book by clicking the links below:
AMAZON
http://www.amazon.com/dp/B005MGERZ6
SMASHWORDS
http://www.smashwords.com/books/view/87925

Foodie Book:  Appetite for a Stroll
If your are a Foodie you will like my book of Food Adventures APPETITE FOR A STROLL. Do order a copy from FLIPKART:
http://www.flipkart.com/appetite-stroll-vikram-karve/8190690094-gw23f9mr2o

About Vikram Karve

A creative person with a zest for life, Vikram Karve is a retired Naval Officer turned full time writer. Educated at IIT Delhi, ITBHU Varanasi, The Lawrence School Lovedale and Bishops School Pune, Vikram has published two books: COCKTAIL a collection of fiction short stories about relationships (2011) and APPETITE FOR A STROLL a book of Foodie Adventures (2008) and is currently working on his novel and a book of vignettes and short fiction. An avid blogger, he has written a number of fiction short stories, creative non-fiction articles on a variety of topics including food, travel, philosophy, academics, technology, management, health, pet parenting, teaching stories and self help in magazines and published a large number of professional research papers in journals and edited in-house journals for many years, before the advent of blogging. Vikram Karve has taught at a University as a Professor for 15 years and now teaches as a visiting faculty and devotes most of his time to creative writing. Vikram Karve lives in Pune India with his family and muse - his pet dog Sherry with whom he takes long walks thinking creative thoughts.

Vikram Karve Academic and Creative Writing Journal: http://karvediat.blogspot.in
Professional Profile Vikram Karve: http://www.linkedin.com/in/karve
Vikram Karve Facebook Page:  https://www.facebook.com/vikramkarve
Vikram Karve Creative Writing Blog: http://vikramkarve.sulekha.com/blog/posts.htm
Email: vikramkarve@sify.com
 
© vikram karve., all rights reserved.

I thank the BlogAdda – Book Reviews by Bloggers Program for giving me the opportunity to review this book.

Sign up for the http://blog.blogadda.com/2011/05/04/indian-bloggers-book-reviews" target="_blank">Book Review Program for http://www.blogadda.com">Indian Bloggers. and get free books! Participate now!


THE DEVOTION OF SUSPECT X – Facebook Fan Page

Friday, September 23, 2011

MIRACLE OF MATHEMATICS - The Story of 17 Camels and 3 Sons


17 Camels and 3 Sons
An Apocryphal Story of a Miracle of Mathematics
By
VIKRAM KARVE 

I read apocryphal story of this miracle of mathematical wisdom long back:

A man owned seventeen camels. This was his total property.

When he died he left behind three sons.

In his will he wrote that his property should be divided as follows:

He bequeathed Half [1/2] his property to his eldest son, One-third [1/3] his property to his second son and One-ninth [1/9] his property to his youngest son.

The sons were in a quandary wondering how to divide 17 camels into half, one-third and one-ninth parts. [Strictly as per the specified ration it worked out to be 8.5 camels for the eldest son, 5.67 camels for the second son and 1.89 camels to the youngest son]

They went to the Wise Man for advice.

“No problem!” said the Wise Man. “Add my camel to yours and now how many camels do you have?”

“Eighteen camels,” they all said.

“Good,” the Wise Man said.

He looked at the eldest son and said, “Your share is half the total camels – half of eighteen works out to be nine – so take your nine camels and go away.”

Nine camels remained. [18 – 9 = 9]

Then he looked at the second son, “Your share is one third the total camels – one third of eighteen works out to be six – so take your six camels and leave.”

Three camels remained. [9 – 6 = 3]

Finally he looked at the youngest son, “Your share is one ninth the total camels – one ninth of eighteen works out to be two – so take your two camels and leave.”

When the youngest son took his share of two camels and went away, only one camel remained, the Wise Man’s camel. [3 – 2 = 1]

The Wise Man took his camel and walked home, having successfully divided the seventeen camels amongst the three sons as decreed in their father’s will.

VIKRAM KARVE
Copyright © Vikram Karve 2011
Vikram Karve has asserted his right under the Copyright, Designs and Patents Act 1988 to be identified as the author of this work.
© vikram karve., all rights reserved.

Did you like this article?
I am sure you will like the stories in my recently published book COCKTAIL comprising twenty seven short stories about relationships. To order the book please click the links below:
http://www.flipkart.com/cocktail-vikram-karve-short-stories-book-8191091844?affid=nme
http://www.indiaplaza.in/cocktail-vikram-karve/books/9788191091847.htm
http://www.apkpublishers.com/books/short-stories/cocktail-by-vikram-karve.html

COCKTAIL ebook
If you prefer reading ebooks on Kindle or your ebook reader, please order Cocktail E-book by clicking the link below:
AMAZON
http://www.amazon.com/dp/B005MGERZ6
SMASHWORDS
http://www.smashwords.com/books/view/87925
About Vikram Karve

A creative person with a zest for life, Vikram Karve is a retired Naval Officer turned full time writer. Educated at IIT Delhi, ITBHU Varanasi, The Lawrence School Lovedale and Bishops School Pune, Vikram has published two books: COCKTAIL a collection of fiction short stories about relationships (2011) and APPETITE FOR A STROLL a book of Foodie Adventures (2008) and he is currently working on his novel. An avid blogger, he has written a number of fiction short stories and creative non-fiction articles in magazines and journals for many years before the advent of blogging. Vikram has taught at a University as a Professor for almost 14 years and now teaches as a visiting faculty and devotes most of his time to creative writing. Vikram lives in Pune India with his family and muse - his pet dog Sherry with whom he takes long walks thinking creative thoughts.

Vikram Karve Academic and Creative Writing Journal: http://karvediat.blogspot.com
Professional Profile Vikram Karve: http://www.linkedin.com/in/karve
Vikram Karve Facebook Page:  https://www.facebook.com/vikramkarve
Vikram Karve Creative Writing Blog: http://vikramkarve.sulekha.com/blog/posts.htm
Email: vikramkarve@sify.com    

© vikram karve., all rights reserved.