Drill 1 :Become Comfortable with calculations:
You should have a good command on tables and Squares (up to 30).
Now we will check how to do approximate calculations
For example Dividing 283 by 1983 and finding that value as a percentage.
283/1983: whenever denominator is greater than numerator try to approximate denominator. Hence you could take 1983 as 2000.
So now our question looks like 283/2000 which is noting but 0.1415 or 14.15%. Here we change our denominator by 17 which is approximately 1% 0f 1983(19.83).
So in our answer also approximately 1% error is there. 1% of 14.15% is nothing but 0.14%. So our final answer has to be 14.15% + 0.14% = 14.29%.
Now we will check what to do if numerator is greater than denominator, for example Dividing 1132 by 1069.
1132/1069: Here we can write 1132 as 1069 + 63 which will leads to 1 + 63/1069.
So now if we do approximation, it is on very small part. 63/1069≈0.06 and our final answer is 1.06 or 106%.
I hope now the concept of approximation is clear. Just try to solve few questions:
412/6950 a) 5.9% b) 4.7% c) 5.2% d) 6.2% e) 5.72%
511/1680 a) 31.5% b) 29.3% c) 30.1% d) 32.2% e) 30.4%
6.4/6.12 a) 1.045 b) 1.053 c) 1.035 d) 1.023 e) 1.031.
"The conventional wisdom unconventional way" keep yourself updated with latest mind boggling questions and & new methods of solving problems.
Let’s start the preparation for CAT DI section:
MH-CET results out!
Check out your MH-CET results at dte.org.in/result.
Do keep posting your scores and category for any suggestions...Highest heard till now- 148 (equivalent to 99.92%ile). Will keep updating the highest scores...
All the best!
Stop and Think
Just came across this video a few days ago. It has definitely touched me and I wanted to share it with you. Hope it makes a small difference at least, and compels us to act differently. Well the video is called “value of 500 rs.”
Check the link out:
http://www.youtube.com/watch?v=M0XTPSYdP08
Challenger Logic Puzzle
Saturday, Kelly and four of her friends, lured by advertisements of the "biggest sale of the year," went Christmas shopping at Tracy's. Each of the five found the sales pitch to be true, finding a gift for her dad--one buying a sweater--at a great price. Given the clues below, can you solve this Challenger Logic Puzzle by determining the item each purchased, its original price, and its price on sale Saturday?
1 The original prices ranged from a low of $30 to a high of $120, totaling $310 for the five gifts.
2 The girls ended up spending $134 total on their five gifts, from a low of $21 to a high of $36,
3 The price of Jada's gift was reduced 20% more than the price of the tie, but Jada still paid $4 more for her item than the girl who bought the tie for her dad paid.
4 The original price of Lynne's gift was $50 more than the original price of the gloves another girl bought her dad, but after Tracy's reductions Lynne spent only $8 more than the gloves purchaser did.
5 Maria saved $7 more than the girl who bought the belt did.
6 The sale price of the dress shirt was $4 more than the sale price of the item Nicole purchased.
7 The biggest discount on any of the five items was 70% and the smallest discount was 30%.
GRAMMAR QUANDARY!!!!!
After quite a long hiatus I am back to mete out a few ways to deal with one of the most dubious sections of CAT grammar- MODIFIERS.
I call this area dubious because there are hardly any rules per se but then, here is where our reading habits come to the rescue. If we are well read, we generally tend to understand the nuances better for the simple fact being our comfort with the flow of a language(any language) always helps us to identify the slightest error in the construction.
So let's take some typical modifier questions (from OG for GMAT) and analyse them.
"The automotive conveyor belt system, which Henry Ford modeled after an assembly line technique introduced by Ransom Olds, reduced from a day and a half to 93 minutes the required time of assembling a Model T."
Now as we know a modifier is that part of the sentence that gives some extra information or adds to the meaning. We also know that it is preferred to keep the modifier and the modified together. Now in the above example, our modifying phrase, naturally is "from a day and a half to 93 minutes". Let's delve further into it. the word "reduced" is followed by "from a day...", which leads to the ambiguity about what is being reduced. Therefore to make the sentence unambiguous and crisp, it can be reframed as, "reduced the time required to assemble a Model T from one and a half day to 93 minutes."
Now let's take a look at another one
"As a result of medical advances, many people that might at one time have died as children of such infections as diphtheria,pneumonia or rheumatic fever now live well into old age."
Now in this case, following the pronoun rule we know "people" calls for "who" instead of "that". Secondly, "at one time" can be transformed into "once"(adjective). In the given statement, it seems that the people had died as children of diseases like diphtheria etc but that is not what the statement wants to convey . In case of compound verbs like, "may have", "could have" etc, it is advisable to insert the modifier between the verbs. Hence, the corrected sentence could be, "who might once have died in childhood of such" which shall remove ambiguity of any kind from the statement.
Do not panic if you find Modifiers to take some time as this area needs a lot of reading and practice. I will keep you posted on some more typical modifier based questions. Till then, keep reading newspapers like Wall street Journal or our very own HINDU or Economic Times to get used to the flow of the structure.
Understanding Currency...A Great Read!
A highly recommended read from today's DNA, Pune (click here for original article):
Printing notes is no way out of trouble |
Debasement of currency will only bring on a bigger financial crisis, a la Zimbabwe |
-Vivek Kaul. Mumbai |
|
Hey, I miss discussing the financial crisis with you. Tried calling, but couldn't get through. So this email.
The US government had given $133 billion to AIG in the past, but that doesn't seem to have helped. So, AIG is getting another $30 billion. General Motors (GM), which reported losses of $31 billion on sales of $149 billion, has seen sales fall to a 27 year low.
Citigroup isn't in good shape either. So are Fannie Mae, Freddie Mac and all those big financial institutions, which have had to be rescued by the government. This is not the case with the US alone. Various countries in Europe have gone around rescuing their once hallowed financial institutions, too. But neither in the US nor in Europe has any of these rescue efforts borne fruit so far. The losses keep piling up, questioning the very basis of bailing out the financial institutions in the first place. Should the market be allowed to work, and these institutions allowed to fade away? I wish I had an answer to that. And I need not tell you where all this money is coming from. Various governments are printing all the money they need. Okay, I can see you raising an eyebrow. How do I know this? Oh, it's rather simple. When a government wants to borrow, it has to issue bonds. Investors like banks and other financial institutions invest in those bonds and thus the government gets the money. Basically, the money the government borrows comes from the money supply already available. In the recent past, the US government has injected nearly $300 billion into the financial system, without there being a similar increase in the bonds issued by it. Basically, therefore, all this money is being created out of thin air — it is being printed. And the US isn't alone. European countries such as the United Kingdom are also doing this. The money being printed is used to keep the weak financial institutions, which would otherwise have gone bust, up and running. It is also being used by governments to spend on what are being referred to as "shovel ready projects." The idea, as I have explained in the past, is to get the banks to start lending again so people borrow and spend it. This will lead to the moribund economy growing again. The "shovel ready projects" are expected to put people who have lost employment back on job and earning again. Earning is likely to lead to spending and hopefully, this will revive the economy. But all that is theory. Will it practically work out the way, as politicians and economists have been saying it would? Highly unlikely, if history is anything to go by. Money printing only leads to more money printing. Okay, don't you raise that eyebrow again. I'll explain. When a spate of money suddenly hits any economy and people go out and spend, it leads to increased prices. The supply of goods and services they want to buy cannot suddenly expand to keep up with all the newly created "paper" wealth. So suddenly, there is a shortage of goods and services, and this leads to increased prices or inflation, as they call it. When an item is available in abundance, its value tends to go down and vice versa. All this printing of currencies will lead to a situation wherein the purchasing power of currencies will continue to decline. This would mean even more currency will have to be printed, which could lead to hyperinflation — a situation where prices go totally out of control, as the currency rapidly loses value. Take the case of Zimbabwe, which has been printing Zimbabwean dollars for sometime now. Economists estimate that the rate of inflation is currently at 5,000,000,000,000,000,000,000 (five sextillion) per cent. The country recently even printed a 100 trillion Zimbabwean dollar note, which was just about good enough to buy a loaf of bread. Basically then, the Zimbabwean dollar as a currency has totally collapsed. And this phenomenon gets repeated time and again. As Puru Saxena, a Hong Kong-based wealth manager writes, "In fact, a remarkable study confirms that only 23% of paper currencies ever issued have survived the test of time." And why isn't all the money being printed in the US and Europe not showing up in inflation? It is primarily because the banks are not ready to lend now, as they don't have enough confidence in the ability of borrowers to repay in such an economic environment. But you need to remember that gradually most banks are being nationalised. Take the case of Citigroup, up to 36% of it is owned by the US government. A lot of banks in Europe have been nationalised or are in the process of being nationalised. Once the government takes over, it will ensure that the banks actually go out in the market and lend all that money that has been printed up. If that happens, inflation is going to go through the roof. By printing all this money, the US can hope to inflate away all its debt. The US currently has a total debt of $54 trillion, which it cannot repay in the normal scheme of things. "In other words, either the US will default (highly unlikely in my view) or it will print and inflate so that this huge mountain of debt feels much smaller in the future due to the loss of its purchasing power," writes Saxena. And who loses out in such a situation? Countries like China, Japan and the oil producing nations who have a lot of their foreign exchange reserves invested in bonds issued by the American government. If all this printing continues, economies are likely to see hyperinflation in the day to come and their currencies will be in trouble. "As the jokers in Washington continue to 'save' the US economy (i.e. bail out their rich friends on Wall Street), the US dollar will eventually become worthless or it may be replaced by another currency." Hope I haven't scared you too much. Such are the times. Take care.
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