Showing posts with label problem solving. Show all posts
Showing posts with label problem solving. Show all posts

Wednesday, September 30, 2009

5 most overlooked points while solving GMAT number based problems (Arithmetic based problems)

The 5 series!!!!

5 most overlooked points while solving GMAT number based problems (Arithmetic based problems)

1.Study the factors of a number. Factors of a numbers are numbers which can divide that number. The factors for 28 are1, 2, 4, 7, 14, 28. Factors are always smaller than a number. The number of factors for a square is always odd.

2.Study the multiples of a number. Multiples of a number are numbers which are obtained by multiplying a given number by a constant. When you want to combine two numbers use LCM. For example : What is the smallest 4 digit number which can be divided by 2,5,6,8 and 9. To solve this sum first: you would have to combine these numbers to arrive at a common number i.e.the LCM of 2,5,6,8 and 9 and then proceed to obtain the smallest 4 digit number.

3.Any number raised to the power of 4 will lead to a number (say k)whose last digit remains the same irrespective of the number of time the number is multiplied with itself.(k x k x k…..n times where n can be any integer)

4.Let a × b = c. The remainder obtained when you divide c by d is equal to the product of the remainders obtained when you divide a by d and b by d. Instead of finding the remainder of 625 when divided by 7 it would make sense find the remainder of 25 when divided by 7 and multiplying the remainder twice to get the overall remainder( 625 =25 x 25)

5.While solving number based data sufficiency problems substitution of all possible numbers (positive integers, negative integers, positive fractions, negative fractions, zero) is necessary before arriving at an answer.

For example: Is (a/b) > (c/d)
1. a > c
2. b >d

Each statement individually will not yield an answer. When the statements are taken together substitute positive numbers, negative numbers to check the consistency of the answer. Also substitute numbers which are near each other as per the number line (a=2,c=1) and numbers which are far away (a =1000, c=1)

Tuesday, September 1, 2009

Are you a quant person?

Are you a quant person?
Quantitative thinking ( thinking with numbers) is integral to corporate business careers. Hence MBA entrance tests contain a generous dose of quantitative problems. One’s performance in such problem solving is a manifestation of his overall problem solving ability. 
Business Schools perceive quantitative scores as indicative of higher order thinking and decision making skills. They believe that quant thinkers can handle diverse business challenges. They can analyse, diagram, hypothesise, set goals, try permutations and combinations, perceive probabilistic outcomes and synthesis a possible outcome.

Quantitative personality is not necessarily a hardcore math person

For a quantitative thinker, math knowledge is one of the many tools in his quest for excellence in problem solving. It is also possible that one is a good quantitative person but not a math person.
By and large, a quant person is someone who can look at independent ideas and facts, look at a situation and be able to come up with a response irrespective the accuracy of the approach and thereby the solution.  It also means looking at a situation and draw up on one’s own repertoire of tactics for a possible way forward…. a possible answer... In short, a quant person  might have a great memory but is rather someone who reasons very well.

A quant person uses thinking skills approach to problems
So when a quant person looks at a math problem with varied factors, and probably requiring more than one mathematical concept, he  doesn’t get confused; he will pull the question apart and can see where one step leads into the other and can merge and manipulate the combinations to get the final answer. He goes beyond the given data, creates a problem field, assumes himself to be part of the problem, takes various experiences and knowledge points to extrapolate a position and direction. In other words, a quant person is empowered to handle problem situations well; one who says no ‘can’t’, until he has exhausted all possible knowledge, theories, and experiences before asking for help.
 
A quant person ‘transfers learning’
For a quant person, the idea of doing a lot of problems stems from the need to see the various possibilities of solving problems rather than an expectation of chancing upon an exam like problem. For effective ‘transfer of learning’ making observations while attempting a problem is the key.

The quant person in a nut shell should be inquisitive, innovative, fearless, flexible and an inherent risk taker. “the Science of Thinking” methodology attempts to inculcate quantitative reasoning in addition to quantitative aptitude in test aspirants. Visit www.semanticslearning.com for more details.
Read http://www.semanticslearning.com/beta/gmat-science-of-thinking.asp of thinking for more details