Quicker Maths
14Nov/093

Puzzle of the Matches

A friend of mine emptied a box of matches on the table and divided them into three heaps, while we stood around him wondering what he was going to do next.

He looked up and said ‘well friends, we have here three uneven heaps. Of course you know that a match box contains altogether 48 matches. This I don’t have there are in each heap’.

‘What do you want us to do?’ one of the men shouted.

‘Look well, and think. If take off as many matches from the first heap as there are in the second and add them to the second, and then take as many from the second as there are in the third and add them to the third, and lastly if take I as many from the third as there are in the first and add them to the first – then the heaps will all have equal number of matches.’

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13Nov/092

Age Puzzle

Disha and her friend, Sapna once met at a party. Soon a fight broke out between the two while discussing their ages.

Said Disha,"I definitely am not older than 30!!!"

On hearing that, Sapna snapped back, "You're old enough to be my aunt. I'm exactly 28 and you are not less than 5 years older than I am."

Disha immediately yelled back,"Liar! I'm sure you're at least 29!!"

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12Nov/093

A Problem of Chain Letters

I opened my mail box this morning. What do l see in it? A chain letter. This seems to turn up every now and then in one form or another.

I began to wonder. If one person sends a certain letter to two friends, asking each of them to copy the letter and send it to two of their friends, those in turn each send two letters to two of their friends and so on how many letters would have been sent by the time the letter did thirty sets.

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11Nov/091

When did Diophantus Die?

Here is an epitaph of the celebrated Greek mathematician of 250 A.D., Diophantus. Can you calculate his age from this?

DIOPHANTUS PASSED ONE SIXTH OF HIS LIFE IN CHILDHOOD, ONE TWELFTH IN YOUTH, AND ONE SEVENTH MORE AS A BACHELOR; FIVE YEARS AFTER HIS MARRIAGE A SON WAS BORN WHO DIED FOUR YEARS

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10Nov/093

The Case of the Missing Digit

A friend of mine asked me to write down any multidigit number. But, he put a condition, the

number should not end with a zero.

I put down the number 96452

Then he asked me to add up the five digits and subtract the total from the original number.

I did and here is what I got:

96452 – 26 = 96426

He then asked me to cross out any one of the five digits and tell him the remaining numbers. I

crossed out the 2 and told him the rest of the digits. I neither told him the original number nor

what I had done with it. Yet ‘pop’ he told me the exact number I had crossed out.

How did you explain it?

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9Nov/090

Our Story in YourStory.in

Passing out from the Indian Institute of Management, Indore, Vineet Patawari found it hard to resist a seven-figure job. However, the urge to aid the larger student fraternity got him to start his own venture. Thus was born fireup.co.in, an e-learning portal for training for management entrance examinations. With funding from his parents and two partners, Patawari laid the foundation for his first entrepreneurial venture in June 2008. “Fireup”, Patawari says, “is a revolutionary portal that is designed to aid students in cracking the Common Admission Test (CAT), the toughest management entrance examination for the IIMs and other top business schools in the country.”

Patawari explains the way the portal assists students in their preparations, “Fireup provides top-quality online preparation modules that prepare students for the exact testing standards of the CAT. Moreover, the portal offers an active e-course with a learner-centric, interactive and adaptive learning approach.” This budding entrepreneur has found the potion to leverage technology to enhance learning and in turn giving its students the winning edge in cracking CAT and realising their dreams.

Talking about the scope of the new start-up, Patawari told yourstory.in that students appearing for the CAT, MAT, XAT, SNAP, NMAT, IBSAT etc are the ones who take help from Fireup. The figure comes to around more than five lakh students. The benefit these students derive is that since most competitive entrance tests are gradually shifting towards an online format, they would find it easier to adapt to the mode. Patawari plans to expand the range of services to other competitive exams such as the CPT, PCC, Band PO exams, final level exam for CA and entrance exams for the IITs. He further said that with the aid of a venture capitalist or private equity, Fireup would be able to augment their marketing strategies and reach. This would enable them in making Fireup a household name in helping students across the nation, across domains.

Hailing from a non-technical background, Patawari faced a few challenges when it came to adapting various technical concepts and the functioning module of the dotcom and e-learning business. However, after more than a year and with an employee force of more than fifteen, those seem to be times long gone.

Speaking to yourstory.in about the edge that Fireup has over other training institutes, the young entrepreneur explains at length the extensive research that they put into formulating every single question and its explanation. With a broad smile, he says technology-friendliness is their key differentiator. Patawari explains the way each paper comes with real-time analysis along with the individual score. Fireup gives students a detailed report as to the areas they are strong in, the areas that need to be worked on, along with effectiveness of a particular test-taking strategy.

Talking about his entrepreneurial venture, Patawari told yourstory.in that he always had the zest to start off on his own. He always resented the monotony of a nine-to-five job, though starting up on his own was not a cakewalk. Initial large investments that later turned futile, the uneven revenue stream, manpower issues and unforeseen delays in projects made him question his choice a number of times. However, now a successful and proud entrepreneur, he says, “The learning from starting my own venture has been tremendous, which no job could have given me in such short span of time.” This learning and freedom to make his own choices are what kept him going. He says perseverance was his mantra to succeed as an entrepreneur.

The B-plan for 2010 for this start-up is to increase their service range to the other competitive exams. Fireup is also planning to start an institution that will provide guidance to school and college students undertaking various courses under one umbrella.

On an ending note, Patawari says every dream is at least worth a try. Your degree is an insurance that will cushion you in case things don’t click. Also, he says, it’s a good time to try your luck as the stakes are much lower now than perhaps they would be half a decade from now. The mantra to success that he wishes to share with all aspiring entrepreneurs is perseverance.

Yourstory.in wishes this budding entrepreneur and his fine venture all the best for the coming year.

Source: http://www.yourstory.in/entrepreneurs/entrepreneur-of-the-week/2775-vineet-patawari-founder-fireupcoin

7Nov/094

Birthday Paradox

This going to be a tough one!!

While surfing through the net I came across a very interesting concept- Birthday Paradox

I tried to pose the interesting paradox in question form, so that you can use your grey cells.

After some discussion on these questions we will look into the concept of Birthday Paradox deeply.

Q 1. “what’s the probability that, in a set of randomly chosen 23 people, will any given pair share the same birthday?”

Q 2. “what’s the probability that, in a set of randomly chosen 57 people, will any given pair share the same birthday?”

Q 3. “when is the probability 100%, that in a set of randomly chosen people, atleast one given pair share the same birthday”

If this is not your cup of tea, try the easier one's on the site ;)

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7Nov/095

Stolen Mangoes

Three naughty boys stole some mangoes from a garden. As it was late in the evening, they decided to divide the fruit equally among them in the morning, and went to sleep.

At night while the other two were sleeping, one boy woke up, tip-toed to the basket of mangoes, counted them and ate one. From the remainder he took a precise third and went back to sleep.

After some time a second boy woke up. He counted the mangoes, ate one, took an exact third of the remaining and went back to sleep.

A little before sun rise and third boy also woke up, ate one, and like the other two boys took a precise their of the remainder in whole mangoes.

In the morning, all the three boys went together to the basket of mangoes, counted them. Amongst them they found one which was over ripe – almost rotten. They threw it away. From the remainder they made an exact division.

How many mangoes in all did they steal?

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7Nov/090

How to prepare for MAT ?

Friends, this article is meant for people who are planning to take MAT examination for admission to a B-School. Students have to wander a lot to find out various aspects of MAT. So here I am giving you comprehensive information of all useful aspects of MAT. If you have any other query, feel free to ‘comment’ your question. I will be glad to answer them.

What is MAT?

Management Aptitude Test (MAT) is one of the important entrance exams conducted by All India Management Association. This entrance exam is conducted in all major cities in the country. MAT Score is essential for every student who is seeking to take admission in top management institutes of India.

Students of several streams like- engineering, architecture, medicine, arts, science and commerce can pursue their career in Management after tackling the MAT entrance exam.

Cracking the MAT exam:

Cracking MAT exam is not going to be easy for all. But if you plan your study time with proper strategy, you can be a winner in it.  An Important question crops up here that “how to prepare for MAT Exams?

Here is a brief description of the MAT Exam Pattern and MAT syllabus -

Students, who want to pursue their career in management, have to give a MAT entrance exam for getting admission into the management college in India. This examination is conducted by All Indian Management Association four times in a year.

Students can easily overcome the fear of cracking the MAT exams just by following these basic steps:

  1. Always stick with the basic rules, clear your concepts of basic Maths, and start preparing on class 10  and class 12 maths. You can follow Quicker Maths site for some very useful fast calculation tricks.
  2. Go through all the study materials provided by your institute (if you are preparing with one).
  3. Always keep yourself update with current affairs, read newspaper and magazines daily.
  4. To make your English comprehensions well, work hard on your vocabulary. You can subscribe to this amazing free SMS service to improve your vocabulary
  5. Spend your time equally in each of your subject and find out your strength and weakness and try to overcome from your weakness.
  6. Solve different type of questions for MAT from several MAT study materials and books. It will help you to tackle most of the tricky question in the MAT examination. As they say, “Practice makes a man perfect”.

Author: Ejaz Khalil,  Knowledge Consultant, FireUp.co.in

5Nov/093

Bookworm Puzzle

If a bookworm ate from the first page of Volume I to the last page of Volume III of an encyclopedia series standing in its right order on a bookshelf, how far would he have eaten, the books being 2 inches thick each, and the covers 1/4 –inch thick?

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