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Intelligent Guessing can be done with Multiple Choice type of tests only. It is futile to do this with long answer types.In a Multiple choice questions a student is subjected to three kind of situation:1. Know the answer or can work out the answer.2. Do not know the answer and can not work it out.3. In between.
It's easy to deal with first kind of the problem. Work it out.
It's easy to deal with second kind of problems. Leave it.
Problem arises where one comes across a problem, which falls in between. We recommend doing Intelligent Guessing in such scenario.
How to recognise the problem which falls in between?
These problems have some symptoms , which your mind can identify .1. You are aware of some of the terms given in the problem.2. You have done such problem previously but unable to recollect the formula.3. You know that one from these two is the answer but not sure which one.4. You are receiving some sort of cue from your mind about it.
This is very fast and it does not take more than a fraction of a second to know the category in which a given question falls.
There are several deterrents of Intelligent Guessing but the biggest one is Exam Anxiety. This takes the sheen away from the examinee. Therefore I will focus on its symptoms and how to handle it.
What is Exam Anxiety?
The term "Exam anxiety" refers to the emotional reactions that some students have to exams. The fear of exams is not an irrational fear - after all, how you perform on exams will shape the whole course of your life. But the excessive fear of exams interferes with your ability to be successful.
What are the Components of Exam Anxiety?There are three components of exam anxiety. The physical component involves the typical bodily reactions to acute anxiety: a knot in the stomach, hand wet and trembling, nausea or "butterflies in the stomach," ache in the shoulders and back of the neck, dry mouth, pounding heart, etc. The emotional component involves fear, panic, or bread - as one student put it, "I know I will not be able to make it!" The mental or cognitive components of exam anxiety involve problems with attention and memory ("My mind jumps from one thing to another"), and worry ("I'm certain to fail").
Symptoms of Exam Anxiety (List)
Fear that you'll forget? Fear that you'll run out of time? Fidget? Experience memory blocks? Experience a change in appetite? Have sweaty palms? Feel angry? Feel confused? Lack the ability to concentrate? Have stomach pains or upsets? Hyperventilate? Feel nervous? Feel your throat tighten?
How to control Exam Anxiety?
Having a positive attitude and knowing that you are organized and have studied effectively is the easiest way to prevent exam anxiety.
Visit us at: http://www.magicalmethods.com/I will discuss the methods of controlling exam anxiety based upon the type namely Physical, Emotional and Mental or Cognitive.
Physical Symptoms:When you notice this symptoms or get a cue of physical symptoms use Relaxation Technique suggested below.Learning this is simple, but if you want to be able to do it on your next exam, you will have to practice it a few times beforehand. Follow these six steps:
1. Get comfortable in your chair - slouch down if that helps. 2. Tighten, and then relax different muscle groups or your body, one group at a time. Start
with your feet, then move up your body to your neck and face. 3. Close your eyes. 4. Begin breathing slowly and deeply. 5. Focus your attention on your breath going in and out. 6. Each time you breathe out, say "relax" to yourself.
Emotional Symptoms: An Emotional symptom consists of negative and worrisome thoughts. And our focus should be onreducing the negative and worrisome thoughts that provoke the anxiety. Students who are anxious about exams tend to think or say things to themselves that are negative, depressing, or irrelevant to the task at hand. Research shows that exam anxiety can be reduced if these negative thoughts can be replaced by positive thoughts. In order to do this, you must first become aware of your own thoughts during Full Length Tests, and then decide to practice more positive thoughts during your CAT. Given below is a list of Negative and Positive thoughts. You have to work on your negative thoughts at these three stages and replace it with positive thoughts as suggested.
Negative Thoughts Positive ThoughtsBefore CAT:*I will never pass. *I don't have to be perfect.*I'm going to panic, as usual. *Hurrying won't help anything.*If only I could get out of it. *Try not to take this too seriously.*There's too much to learn. *I can manage the situation.*Why didn't I study more? *Easy does it - it's only a test.During CAT:*Everyone else is working faster than I am. *Don't think about the others; focus on the test.*I am just plain stupid. *I don't need to prove myself.*People will notice my hands trembling. *Just take one step at a time.*My mind is a total blank. *I'm feeling tense - it's time to relax myself.*I might as well give up; what's the use? *Getting upset won't help.*Other students are turning their tests already.
*Use the time that's left - focus on the test.
After CAT:*I knew I would blow it. *I knew I could get though.*I'm going to flunk out. *It could have been a lot worse.*There is something wrong with my mind. *I handled it pretty well.*I don't belong in college. *Good - I did it.*What will my parents say? *I may not be the best, but I'm not the worst
Visit us at: http://www.magicalmethods.com/either.
Mental Symptoms:
If you frequently experience "mental blocks" during tests, turn your test paper over before taking a test and write down math formulae, key vocabulary terms, key concepts or time lines. Then turn the test paper over and begin. Then if a "block" does occur during the test, turn your paper over and see if your notes trigger your memory.
Long time back four men of a village were intensely discussing the alternatives so that they can irrigate their land. Rainy season was passing by. It was already a month into the rainy season. There was hardly any water in the pond they dug up last year. The responsibility of the village was on their shoulder. They thought it over and decided to dig a canal from the nearby river.
To accomplish their task they required several implements. These implements would help them to accomplish their task. They called village blacksmith and asked him to prepare the required implements.
What kind of implements do they require? Earth digging implements.
Terror monger uses their tools i.e. AK-47, Suicide Bombers, Rocket Launchers etc.
In the war against terror America is using a lot of lethal tools. You can name several of them.
Similarly you will also require tools for Intelligent Guessing. What are those tools? And what should they do?
Intelligent Guessing tools should help you out in eliminating wrong answers.
These tools are:
1. Elimination Techniques2. Approximation Technique3. Anxiety Removing Techniques 4. Practice
1. Elimination Techniques:First step to intelligent guessing should be to learn the elimination technique. Here I am providing you a list of method by which you will be able to eliminate wrong answers. Apart from the techniques listed here you can construct your own technique depending upon your experience with such type of tests.
Eliminating wrong answers by Visualization Technique
1. Alternatives with absolute or universal qualifiers are usually wrong (all, every, never, in no
Say you want to find square of a number near 100 or multiples of 100. First we will discuss how to find square of a number which is near 100.
Let the number be 98.
In conventional method, you will be required to multiply 98 by 98 as shown below: -
98 X 98 ---------- 784 882 ----------- 9604 -----------
The answer comes to 9604. But it is a good deal of work.
Are you interested in something really fast? Faster than computer then learn this formula.
The formula says whatever be the difference of the number from the base add (if the number is more than the base) or subtract (if the number is less than the base) that much to the number and on the right hand side set the square of the difference. This is your answer.
Let us start working from base 100.
Say you want to find out 982
982 = 98 - 2/ 022 = 96/04 = 960498 is 2 away (less) from 100 therefore 2 is reduced from 98 in L.H.S. and on the R.H.S. square of 2 is set.
Solved Examples; -
1. 972 = 97 - 3/ 032 = 94/09 = 9409
2. 952 = 95 - 5/ 52 = 90/25 = 9025
3. 922 = 92 - 8/ 82 = 84/64 = 8464
4. 892 = 89 - 11/ 112 = 78 / 121 = 7921
Slash (/) is used here to separate the left-hand side and the right hand side of the number. You will be required to keep in mind that when you set your base as 10, 100 or 1000, number of digits on right should be equal to number of zeros in the base.
You have seen how quickly you can find square of a number which is less than 100. Can we apply the same technique for digits more than 100?
Visit us at: http://www.magicalmethods.com/Say you want to find out 1022
1022 = 102+2/022 = 10404
Kind in mind, since 102 is 2 more than 100 therefore we have added 2 here as per the Sutra and on the right hand side we set square of 2. Also on R.H.S. there will be two digits.
Solved Examples: -
1. 1032 = 103+3/032 = 106/09 = 10609
2. 1072 = 107+7/72 = 114/49 = 11449
3. 1112 = 111+11/112 = 122 / 121 = 12321
4. 1162 = 116+16/162 = 132 / 256 = 13456
You have learned the super-fast method of calculating squares of a number near 100. Now let us expand this technique and learn to calculate squares of a number near 50, near 200, near 150, near 300 etc.
Yavdunam Sutra for finding squares of a number near 50.
Can we write 50 = 100/2? All of you will say yes! Aren’t you wondering why I am asking you this simple question? My dear friend we will use this to find squares of a number near 50.
Say you want to find 482
Can we proceed as given below? Taking distance from 50.
482 = 48-2/022 = 46/04 = 4604.
Now let us multiply 48 by 48
4848
-------------- 384 192-------------- 2304
The answer should be 2304 but what we are getting after using the formula is 4604. Answer is not correct! Why? Have we left out something?
In the beginning I asked you can we write 50 = 100/2 all of you said yes! Now the tine has come to use this.
To get the correct answer do this, divide the L.H.S. number by 2. Why? Because 50 = 100/2
Uses of Yavdunam Sutra for finding squares of a number near 200.
I am asking you again that can we write: 200 = 100 x 2 ?
If you have gone through the previous explanation carefully then I am sure that you have understood the above clue. If you haven’t, then I would like you to go through the previous explanation before you read on. Let me ask you are you ready to take plunge? You have the clue?
If you are ready to take the plunge then let us start with an example: -
Say you want to find out 2012 can we write
2012 = 2 x (201+1)/012 = 2 x (202)/01 = 40401
Why we multiplied by 2 here because 200 = 2 x 100.
and 642 = 52 + 14/142 = 39/196 =4096Can you think why this relation is possible with numbers near to 50 only?
Finding Square of any two-digit number. : This is one smart technique, which I was talking. This formula is very potent formula. This formula will solve your problems in minutes and it may lead to a total shift in your working method.
You may always use this formula instead of using any other because this is quick and simple. Also this formula has been derived from a simple formula known to every student above class V.
You know that (a + b)2 = a2 + 2ab + b2. But tell me where can you use this? Think about it. I will say that the use is limited. And I am going to describe the way by which you can make it unlimited. Interested?
Let us use the above formula as taught to us
Say 722 = (70 + 2)2 = 702 + 2 x 70 x 2 + 22
= 4900 + 280 + 4 = 5184
or say 662 = (60 + 6)2 = 3600 + 2 x 60 x 6 + 36= 3600 + 720 + 36= 4356
Now try to understand the method, which I am going to describe
(a + b)2= a2 + 2ab + b2
Say you want to find 722 by this method
7 22 put 7 as a and 2 as b a b
722 = a2 2ab b2
49/ 28/ 4 = 51 84 2
Separate a2, 2ab and b2 as shown above start from Right, put 4 as answer digit, No remainder put 8 as next answer digit, Remainder = 2 Add the remainder to left most number 49 + 2 = 51Thus you got the answer = 5184
The answer is the same what you have got in the first case. How do you feel now? If you have understood the steps then you will jump but let us take a few more examples
Here again we have proceeded in the same way described above. Let us understand this
Start from the right,
Put 6 as answer digit & 3 as remainder Add 3 to 72 you get 75, put 5 as answer digit and 7 as a remainder, Add 7 to leftmost digit i.e. 36 + 7 you get 4356 as answer.
2. 432 = a2 2ab b2
ab = 16/ 24/ 9 = 1 8 4 9 2
3. 362 = 9/ 36/ 36 = 1 2 9 6 3 3
4. 542 = 25/ 40/ 16 = 2 9 1 6 4 1
5. 642 = 36/ 48/ 16 = 4 0 9 6 4 1
6. 872 = 64/ 112/ 49 = 7 5 6 9 11 4
7. 282 = 4/ 32/ 64 = 7 8 4 3 6
8. 332 = 9/ 18/ 9 = 1 0 8 9 1
9. 752 = 49/ 70/ 25 = 5 6 2 5 7 2
10. 892 = 64/ 144/ 81 = 7 9 2 1 15 8
How to gain the speed?
I hope by now you have fully understood the technique you can now do away with the intermediate steps and write the answers directly.
Visit us at: http://www.magicalmethods.com/Solved Examples:-
1. 342 = 11 5 6ab 2 1
Explanation:-
First find b2 put the unit digit as answer and the tens digit as remainder, then find 2ab add the remainder to it, put the unit digit of the resultant as answer digit and other digits as remainder.
Finally find a2 and add remainder to it. You have got the answer.
It took me a lot of words to explain but it's really very easy:
2. 432 = 1 8 4 9 2
3. 572 = 3 2 4 9 7 4
4. 382 = 1 4 4 4 5 6
5. 562 = 3 1 3 6 6 3
Multiplication: Addition and subtraction is quite fast and students do not find any difficulty with
addition and subtraction. They can even do it with jet set speed. But when it comes to
multiplication they develop cold feet. Here I will be discussing few techniques, which is very
simple to adopt. You can find More techniques in our course Calculation Speed Builder.
Probably you must be aware of the policies of British Empire, which they used so effectively to
gain and retain power in India for more than 200 years. Probably you have recollected it, the
policy is very famous and this can be stated as "Divide and Rule".
You may wonder why I am describing this policy here and what is its relation with multiplication.
You do not have to wait long for understanding why I have talked about that policy here. Like
British Empire you have to use that policy to fathom calculation. This policy can be applied in all
sorts of calculation. So what I am suggesting? I am suggesting that whenever in difficulty break it
Visit us at: http://www.magicalmethods.com/17 16 = ?
It's slightly difficult to write the answer directly. But if you apply divide and rule policy here you can
do it mentally. How? The above multiplication can be broken as given below.
17 (10 + 6) =
Now you can work with this very easily. And write the answer as 272.
You can also break them as follows:
(20-3) 16 = 320 - 48 = 272
It is suggested that you should break the numbers into two parts in such a way that one part is
multiple of 10 and another part is small addition or subtraction. Try to choose nearest multiple of
10 as one part, this will reduce your burden considerably.
In our course Calculation Speed Builder we have provided the techniques by which you will be
able to multiply any digit with any other digit within no time. Three techniques have been
explained there namely First Formula, Quick Formula and Criss-Cross Technique. I will give
you a glimpse of First Formula here.
I have called this “First Formula” because in my opinion a person willing to learn “Magical methods of Fast calculation” should start from here. Formula will be explained by taking various examples.
Two-digit number multiplied by two-digit number.
Let us start with an example: -
35 35
How would you multiply this in conventional way?
Let us solve it: -
35 35
175 105
1225
What are the steps you took here? 1. First you multiplied 35 by 5 and wrote it below the line (175). 2. Then you multiplied 35 by 3 and wrote it below the first row leaving one space from right
Visit us at: http://www.magicalmethods.com/3. You added the numbers in first row with the numbers in the second row by first putting
right most digit down and adding other digits thereafter conventionally. 4. You got 1225 as answer.
Now let us do it by magical method: -
35 35
1225
What did we do here?1. We multiplied 5 by 5 and put 25 as right hand side of the answer. 2. We added 1 to the top left digit 3 to make it 4. 3. We then multiplied it (4) by bottom left digit 3 and get 12, this is left hand side of the
answer. 4. We arrived at our desired answer 1225.
Did you get it?
Let us do some more by the method learned just now!
75 75
5625
Let me explain the method again !!1. We multiplied 5 by 5 and put 25 on the right hand side. 2. We added 1 to the top left digit 7 to make it 8. 3. We then multiplied 8 by bottom left digit 7 and kept 56 on left-hand side. 4. We arrived at our desired answer 5625.
Now the method should be crystal clear to you.
In the same manner, we can multiply the following: - 15 by 15, 25 by 25, 35 by 35, 45 by 45, 55 by 55, etc.
I understand, you are getting inquisitive here and planning to ask a loaded question. Your question is whether the applicability of the formula is limited to a number ending with 5 only? My answer is no, its not like that. Let us expand the formula……………….We can apply this formula to find multiplication of a good amount of two digit, three digit numbers.
In this example left-hand digits are same i.e. 6 and addition of right-hand digits are 10. So we can apply this formula here.
Can we apply the same formula to the following: -
(1) 67 (2) 68 (3) 69 63 62 61
4221 4216 4209
Yes, We can apply the same formula to all these since their left-hand digits are same and addition or right hand digits are 10. Here another question may creep into your mind that in the third one above when 9 is multiplied by 1 then it gives 9, but how come we are putting 09 there. The answer is simple, from all above examples we have learned that the right hand side should have two digits but we are getting only one digit i.e. 9 so what to do? How can we use this harmlessly without changing its value? You know it, add 0 to the left. Now see whether your formula is applicable to the given examples: -
(1) 46 (2) 47 (3) 48 (4) 49 44 43 42 41
I know that, your answer is affirmative and you can write the answers as 2024, 2021, 2016 and 2009. This is just a small part of First Formula. It can be applied to three digit numbers also. There are
lots of applications of this formula, which you can find in our course Calculation Speed Builder.
(SHYSCSB)
Addition: This is a very slow process and scope of innovation is limited. But you have come
across a proverb "When there is a will there is a way". I had a way and I am suggesting you to
Now let us come to the second type, where the dividend is small and divisor is large. I have called
this system "Real Magic". This is a very potent method and very useful for intelligent guessing.
Real Magic.
I am certain that you will experience thrill after learning and understanding these methods. You will find this magical. Also you will find this very easy to work with. Try to teach these methods to as many persons as you can.
4.1.1 Denominator ending with 9.
Find 73 up to 5 places of decimals. Let us try to solve it first by conventional method: - 139
139) 730 (0 . 5 2 5 1 7 695
350 278
720 695
250 139
1110 973
137
You people are well verse with conventional method so I am skipping the explanation.
By conventional method our answer to 5 places of decimal is 0.52517.By magical method also our answer is 0.52517.
There is no difference between the answers, however the procedure adopted in both the methods is different. One is more cumbersome than the other. Let me explain the steps.
Steps: -
1. 73 is divided by 139 (a digit ending with 9)2. 73 is reduced to 7. 3 or 7.3
139 13.9 14 3. Start dividing 73 by 14. 4. Put the decimal point first, divide 73 by 14, 5 is Quotient and 3 is remainder, 5 is written
after the decimal and 3 is written in front of 5 below it as shown. 5. Our next gross number is 35, divide 35 by 14. Quotient = 2 and Remainder = 7. Q = 2 is
written after 5 and R = 7 before 2 (below it)6. Our next gross number is 72, divide 72 by 14. Q = 5 and R = 2, Q = 5 is written after 2
and R = 2 before 5 (below it). 7. Our Next gross number = 25, divide 25 by 14. Quotient = 1 and remainder = 11. Q = 1 is
written after 5 and R = 11 before 1 (below it).8. We have already found answer up to four decimal places, our next dividend is 111, divide
by 14. Quotient = 7, thus we have completed finding the answer up to five places of decimal.
9. Repeat the above steps if you want to find the values further.
You have learned the steps required to solve such kind of problems where the denominator ends with 9. Let us take some more examples to make our understanding clear.
Visit us at: http://www.magicalmethods.com/You will ask me a question, whether the process is applicable only if a denominator ends with 9. Answer is no. We can apply this technique to digits ends with 8, 7, 6 etc. but with slight change.
Let us see it for denominator ending with 8: - +5+2 +8+9 73 = 7.3 7.3 = 0.5 2 8 9 8 - Answer
138 13.8 14 3 12 12 10 - Remainders
In case of denominator digits ending with 8 (one less than 9) the steps are as follows: -
1. Placing of Remainder infront of Quotient remains same as explained in the case 73 or 139
denominator digit ending with 9. 2. In the Quotient digit 1 time (9 – 8= 1) of the Quotient digit is added at every step and
divided by the divisor for finding out the answer.
As in this case we found our first Q1 = 5 and R1 = 3, Our gross dividend comes out to be 35 in which we added 5 to make it 40 then divided by 14. In the next step Q2 = 2 and R2 = 12 Our gross dividend at step 2 becomes 122 + Q2 = 124. Divide this by 14.
The procedure is repeated to find the solution to required number of decimal places.
Let us take some more examples so that we can understand it better: - +4 +4 +6+4 +21. 75 = 7.5 7.5 = 0.4 4 6 4 2 8
Once you see the operation you know instantaneously that in this case Quotient digit is multiplied by 2 (9 – 2 = 2) and added to the quotient all other operations remains same as earlier.
In this case we proceed as explained previously but our gross dividend changes.
Earlier our gross dividend used to be Remainder Quotient. Here in this case our gross dividend is Remainder (9 – Quotient) As shown in the example our first gross number should have been 75 but it is 7 (9 – 5) = 74.
In the case explained above we bring the remainder forward after completion of two operations. Now you will ask me what shall we do when the number of the digits after the decimal places is three? Should we bring the remainder forward after completion of three operations? Yes you are right.
Every thing remains same as explained earlier only the operation related to remainder changes.
Square Roots: This is one of the tedious operations, which requires a lot of patience from the students. Still they are unable to fathom it. It is very very time consuming. So what is the solution to this tedious problem?I am giving you some technique here, If you learn these you will not find it difficult.
For finding square roots we are should have a little knowledge about its behavior. What do I mean by behavior? Nothing much, Infact I mean that you should know how many digits will be there in the square root as soon as you see a number. How will you deduce this?
This is very simple. If you can find out the number of digits in the problem you can find out the number of digits in the square roots. Therefore I said that this is very simple. You can find the number of digits in a given number (?) It can be one digit, two digits, three digits, four-digit or x digit number. What I mean to say is it will either have odd number of digits or even number of digits. Say you represent the number of digits by n,then
Number of digits in a square root will be n for even number of digits in problem and 2
(n+1) for odd number of digits in the problem 2
Once you have the above formula, you know how many digits exactly will be there in the square roots. This is not sufficient, you will also be required to know few more things before we can start
Visit us at: http://www.magicalmethods.com/finding square roots. You will be required to understand this table. This table tells you what you should put in your answer if you see a digit in the problem.
On seeing the above illustration you can say that perfect squares end with 1, 4, 5, 6, 9 and 00. Or a perfect squares does not end with 2, 3, 7 and 8.
Also you can say that square of 2 and 8 ends with 4, square of 3 and 7 ends with 9, square of 4 and 6 ends with 16, square of 1 and 9 ends with 1 and square of 5 ends with 5.
This is very important deduction.
Now in a square root problem (we are dealing with perfect squares only) if you see 9 in the end you can be sure that the square root of this is ending with 3 or 7. But how to become sure that this is ending with 3 not 7 and what is the exact value?
For this you can take help of your mind capacity. Your mind is a very big computer. It stores a large amount of data and helps you in your day to day life. Here also you will take help of your this resource and find square root of the problems. In my opinion you all know this only some direction is required.
You can easily find out square of a number ending with 0 say 10, 20, 30 etc.Also you can easily find out square of a number ending with 5 (if you forgot this technique then refer to First Formula).
Let me take an example:Example: 1 - Find out square root of 529
Visit us at: http://www.magicalmethods.com/529 is more than 400 (sq. root is 20) and less than 625 (sq. root 25). It means the square root of this very number will fall between 20 and 25.
By seeing the last digit of this number you know that the square root of this number will end with either 3 or 7.
This number falling between 20 and 25 can end with 3 only, therefore your answer will be 23.
Example: 2Find Square Root of 5041
5041is more than 4900 (sq. root is 70) and less than 5625 (sq. root 75). It means the square root of this very number will fall between 70 and 75.
By seeing the last digit of this number you know that the square root of this number will end with either 1 or 9.
This number falling between 70 and 75 can end with 1 only, therefore your answer will be 71.
I hope you have understood the concept. Apply it to get the desired result.
You have learned this technique but I am sure that your mind must be persuading you to ask something. That something I have faced in a lot of my workshops.
Students ask me what if it is not a perfect square? Do you have some technique for that?
My answer is: Yes we do have a technique, by which you can find square root of any number even in decimals. You can refer to our package Calculation Speed Builder to learn this.
Cube Roots
Finding cube root of a number is one of the very difficult tasks one can encounter with. The only method known to us till date is to find the factors of a number and then group the factors taking three at a time and take out one number from a group of three. Let us explain this with the help of an example:
We have found the factors now. The next step is to make a group of taking three numbers together.
2 2 2 2 2 2 3 3 3
Now if you take out one number from a group of three numbers then you will get :2 2 3 = 12
You have got your answer as 12
Example: 2Find cube root of 9261
3 92613 30873 10297 3437 49
7We have found the factors now. The next step is to make a group of taking three numbers together.
3 3 3 7 7 7 Now if you take out one number from a group of three numbers then you will get
3 7 = 21
You have got your answer as 21Finding factors of a number is a cumbersome task. This takes a lot of time. In contrast Magical Methods provides you with a one-line answer and anybody can find cube root of a number mentally once he/she understands the technique.
Cube Roots (Magical Methods)Finding Cube Roots requires some background
Visit us at: http://www.magicalmethods.com/From the above illustration we can take out that last digit of 23 is 8, 33 is 7 and vice-versa. All other repeats itself.Procedure of finding a cube: -
Start from right and put a comma when three digits are over Examples: -
9,2611,72832,768
175,616 After putting the comma see the last digit of the number; compare that with table provided
above. You get the last digit. Now see the first group of numbers and ascertain cube of which number is less than the
group. That number is your first digit. You have thus found first digit and last digit.
Let us take an example: -9,261 2 1
Steps: -
Counting from last we put comma after 9. By seeing the last digit we ascertain that last digit of cube root will be 1. Now we see 9 and ascertain that 23 = 8, is less than 9 and 33 = 27 is more.
Our first digit thus comes to 2, and the answer is 21. Another Example: -
32,768 3 2
By seeing last digit we find last digit of cube root is equal to 2. By seeing 32 we put 3, as our first digit as 33 = 27 is less than 32 and 43 = 64 is more. Our answer is 32.
You may visit Guest Book section at www.magicalmethods.com to understand what people say about these methods.
Percentage Calculation: You encounter percentage calculation at several places namely profit
and loss, percentage, partnership, ratio proportion and variation, simple and compound interest,
time and distance, time and work and in several other topic. It simply depends upon the mood of
the examiner where he wants to put it. In-fact percentage is so versatile that it can be put in any
condition. Simplicity in the problem framework brings an enormous amount of difficulty for the
students, as it is never easy to solve problems involving percentage. The percentage calculation
can be termed as difficult because the amount of calculation involved. My endeavor is to reduce
Visit us at: http://www.magicalmethods.com/everything. But its up to you whether you want to take help of subconscious or not. It works
wonderfully if utilised properly. You can utilize your mind's capacity in complex situation to find the
correct answer. Chances of getting it right is more than 75%.
Technique: Use visualization and elimination technique to eliminate two choices. After
eliminating two choices you are left with two choices in which one choice is correct. Mark the
choice, which your mind hints first. (Caution: Do this only after you have reduced the number of
choices to two).
Costly Mistakes: Over Confidence : This is the worst enemy any student can have. Confidence is fine but over confidence is dangerous. I have met so many students who think that he will do it but when he actually faces it he falls flat.
Over Looking : This is most dangerous trap in which one can fall. In my experience I have seen a lot of students falling into this trap. The question says something but he understands something else. And the obvious result is wrong answer. The students even do not read the instructions carefully before proceeding to problem solving. They do not want to waste their precious time in reading instructions. They just assume the instructions (?). You may also do this if you wish to.
Over Learning : This is a case of breakdown maintenance, which is prevalent in India. People who own a vehicle take it to the mechanic when it starts giving a problem. Before the problem he does not bother about it although he could have undertaken periodic maintenance. Similarly, students put time in preparation only in the last moment (Normally last month). Some students remain awake for few continuous days before the exam (called nightouts) hoping to learn everything in that little time. This is impossible.You can learn only in short intervals. You should not put more than 2 - 3 hrs at a stretch. And a day before any important exam one should just relax.
Over Reaction : Over Reaction leads to Exam Anxiety. Due to this phenomenon I have found a lot of students change their answers frequently. They feel that their changed answer is correct but I have altogether different experience. Usually their changed answer is wrong. So it is strongly recommended that do not change your answer unless you have very strong reason to do so.
Over Drive : On road it can kill somebody. Similarly it can seal an examinee's fate. Over Drive means switching between sections frequently. If in your CAT examination you are doing this then you are trying to over drive yourself. Avoid it. You should put in first 10 minutes into going through the paper so that you can plan your time.