Define the hard CAT level time and work problem very clearly. Use basic time and work concepts for more clarity. Now apply your problem solving skills.
To solve hard math, instead of thinking conventionally and mechanically, use your problem solving skills, inventive thinking and basic math concepts.
Simple interest for a year is the percentage rate of interest applied on the initial amount invested and it is fixed year to year. On the other hand, Compound interest is the percentage rate of interest applied on the amount available at the beginning of the year, and not at the beginning of the investment period...
Assignment logic problems form an important class of logic analysis problems that are generally found to be difficult. Collapsed column logic analysis technique and framework removes this inherent difficulty with a structured, systematic and efficient approach. In addition to logic puzzle problems, this powerful technique helps to solve complex reasoning problems of Family relations type with ease and efficiency as well...
In procedural approach to solve Trigonometry or Algebra problems, usually the student has to go through many steps writing the steps using pen and paper without using the useful patterns lying partly hidden in the problem waiting to be used with intelligence so that the solution is reached in a few steps lightning fast, that too without using pen and paper. We are not discussing tricks. We are discussing the anatomy of a rich concept that are based on basic concepts and how a specific rich concept can be used for what we call, efficient problem solving.
Law of sines and cosines relate side with sine and cosine of an angle opposite the side in triangle. By sine law, ratios of side to sine of angle are equal.
Centroid divides triangle area into 3 equal parts formed by the longer median segments at centroid and 6 equal parts by all six median segments at centroid.
Relation between median and sides of triangle: Sum of two sides is larger than the median from common vertex and three times sum of squares of length of sides equals four times the squares of medians of a triangle.
Sometimes in the breakneck hurry while struggling with the questions in a cutting edge leading selection test you might meet a problem that doesn't seem right somehow. You figure out the only way to arrive at the solution but out of sheer curiosity you check back the solution value with the given values to verify the sanctity of the problem definition...
Arcs and subtended angles: Any arc in a circle will subtend an angle at the centre twice the angle it subtends at any point on its complementary arc.
