Saturday, August 22, 2009

A Prized Quiz

Hi Guys, Today I was attending a lecture in the morning. There a question came to my mind. And I wanted to come up with a general answer. The question was :-

  • Let us take a number 'n', such that n>0.
  • Now make an n*n matrix.
  • Fill it with distinct numbers ranging between 1 and n^2. Every number used exactly one time.
  • The sum of elements of each individual row, sum of elements of each individual column and sum of elements of each individual diagonal must be same.

I wanted to solve it for any natural number.

Well I succeeded for odd numbers.

i.e. My algorithm works for 1,3,5,7,9,11,...,(2m+1) where m>=0

Now, my question is that, can u do it for even numbers?

You can solve this question for me in two different ways

  1. Sovle for any particular case, like n=4 or n=6 or so on.

Prize: Treat at Cafe.

Eligibility: Any JUITian can answer.

  1. Solve it for any general case n, where n>0 and divisible by 2.

Prize: Treat at Moksh or Paradise or Destination or any where in Simla/Solan.

Eligibility: Anyone can answer.

A Hint: The sum must be (n^3 + n) / 2

Mail all your answers at navdeep983879@gmail.com with subject as PRIZED QUIZ

Deadline: A week after the first correct answer is submitted (This will be updated as soon as I get correct answer).

Correct Answers Yet: None

Note: Write all Your queries in Comments Section.

Friday, August 21, 2009

Coffee & Chocolates

Well guys I have a habit of drinking 2-5 cups of coffee and atleast one full 40-50 gram cadbury chocolate every day. A good friend of mine generally reminds me about their ill effects with a devil smile on his face. Hence, I decided to browse what the real facts actually are. And I found out following facts.

Chocolates

Fact:
While chocolate is regularly eaten for pleasure, there are potential beneficial health effects of eating chocolate. Cocoa or dark chocolate benefits the circulatory system. Other beneficial effects suggested include anticancer, brain stimulator, cough preventor and antidiarrhoeal effects. An aphrodisiac (an agent that arouses sexual desire) effect is yet unproven.
On the other hand, the unconstrained consumption large quantities of any energy-rich food such as chocolate is thought to increase the risk of obesity without a corresponding increase in activity
A study reported by the BBC indicated that melting chocolate in one's mouth produced an increase in brain activity and heart rate that was more intense than that associated with passionate kissing, and also lasted four times as long after the activity had ended.

Inference:
Chocolate are great for your health. You can eat them daily, unless you are on the verge of obesity. So, go and eat chocolates without any tension.

Coffee

Fact:
Coffee consumption has been shown to have minimal or no impact, positive or negative, on cancer development; however, researchers involved in an ongoing 22-year study by the Harvard School of Public Health state that "the overall balance of risks and benefits [of coffee consumption] are on the side of benefits." Various other studies have shown apparent reductions in the risks of Alzheimer's disease, Parkinson's disease, heart disease, diabetes mellitus type2, cirrhosis of the liver and gout. A longitudinal study in 2009 showed that moderate drinkers of coffee (3-5 cups per day) had lower chances of developing dementia, in addition to Alzheimer's disease. It increases the risk of acid reflux and associated diseases. Some health effects of coffee are due to its caffeine content, as the benefits are only observed in those who drink caffeinated coffee while others appear to be due to other components. For example, the antioxidants in coffee prevent free radicals from causing cell damage.
Caffeine is the major coffee constituent which the coffee tolerance or intolerance depends on. In a healthy liver, the majority of caffeine is degraded by the hepatic microsomal enzymatic system. Caffeine is mostly degraded to paraxanthine substances, partially to theobromine and theophylline, and a small amount of unchanged caffeine is excreted by urine. Therefore, the metabolism of caffeine depends on the state of this enzymatic system of the liver. Elderly individuals with a depleted enzymatic system do not tolerate coffee with caffeine. They are recommended to take decaffeinated coffee, and this only if their stomach is healthy, because both decaffeinated coffee and coffee with caffeine cause heartburn. Moderate amounts of coffee (50-100 mg of caffeine or 5-10 g of coffee powder a day) are well tolerated by a majority of elderly people. Excessive amounts of coffee, however, can in many individuals cause very unpleasant, exceptionally even life-threatening side effects.
Coffee consumption can lead to iron deficiency anemia in mothers and infants. Coffee also interferes with the absorption of supplemental iron.
American scientist Yaser Dorri has suggested that the smell of coffee can restore appetite and refresh olfactory receptors. He suggests that people can regain their appetite after cooking by smelling coffee beans, and that this method can also be used for research animals. Many high end perfume shops now offer coffee beans to refresh the receptors between perfume tests.
Over 1,000 chemicals have been reported in roasted coffee; more than half of those tested (19/28) are rodent carcinogens. Coffee's negative health effects are often blamed on its caffiene content. Research suggests that drinking caffeinated coffee can cause a temporary increase in the stiffening of arterial walls. Coffee is no longer thought to be a risk factor for coronary heart disease. Some studies suggest that it may have a mixed effect on short-term memory, by improving it when the information to be recalled is related to the current train of thought but making it more difficult to recall unrelated information. About 10% of people with a moderate daily intake (235 mg per day) reported increased depression and anxiety when caffeine was withdrawn, and about 15% of the general population report having stopped caffeine use completely, citing concern about health and unpleasant side effects.

Inference:
Well it happens to be a mixed bag for me. It looks like that you can take atmost 3 cups of coffee every day. And simultaneously keep an eye on coffee addiction. Bottomline is that you can drink 2-3 cups of coffee without making it an addiction.

Note: All the facts are taken from en.wikipedia.org and all the inferences are made by author. You can have your own different inference.

The Meaning Of Love

Since a very long time ago, people have searched for the meaning of love. But even the great philosophers, with their profound definitions, could not fully touch its true essence. In a survey of 4-8 year olds, kids share their views on love. But what do little kids know about love? Read on and be surprised that despite their young and innocent minds, kids already have a simple but deep grasp of that four-letter word.


"Love is that first feeling you feel before all the bad stuff gets in the way."


"Love is when you go out to eat and give somebody most of your french fries without making them give you any of theirs."


"Love is when someone hurts you. And you get so mad but you don't yell at him because you know it would hurt his feelings."


"Love is what makes you smile when you're tired."


"If you want to learn to love better, you should start with a friend who you hate."


"When you tell someone something bad about yourself and you're scared she won't love you anymore. But then you get surprised because not only does she still love you, she loves you even more."


"There are 2 kinds of love. Our love. God's love. But God makes both kinds of them."


"Love is when you tell a guy you like his shirt, then he wears it everyday."


"Love is-if you hold hands and sit beside each other in the cafeteria. That means you're in love. Otherwise, you can sit across from each other and be okay."


"Love is when mommy gives daddy the best piece of chicken."


"Love is when your puppy licks your face even after you left him alone all day"


"Love is what makes people hide in the dark corners of movie theaters."


"You really shouldn't say 'I love you' unless you mean it. But if you mean it, you should say it a lot. People forget."


"Love cards like Valentine's cards say stuff on them that we'd like to say ourselves, but we wouldn't be caught dead saying."


"When you love somebody, your eyelashes go up and down and little stars come out of you."


"You never have to be lonely. There's always somebody to love, even if it's just a squirrel or a kitten."


"You can break love, but it won't die."


--Author Unknown--

Top 15 B-Schools In India For MBA In Finance

  1. IIM, Bangalore
  2. IIM, Ahmedabad
  3. IIM, Calcutta
  4. IIM, Lucknow
  5. IIM, Indore
  6. IIM, Kozhikode
  7. XLRI, Jamshedpur
  8. FMS, Delhi
  9. JBIMS, Mumbai
  10. SPJIMR, Mumbai
  11. IMT, Gaziabad
  12. MDI, Gurgaon
  13. NMIMS, Mumbai
  14. SIBM, Pune
  15. NITIE, Mumbai