FOUNDATION GRADUATES
MODULE 4 : MATHEMATICAL REASONING

We cover 9 sections which are favorites in most Mathematical Reasoning exams, with MAT and Bank tests which are favorites among most graduates in India.

CODING & DECODING

This topic can be easily related today with the entry of WhatsApp. WhatsApp is known for its privacy.

Here a word which is the building block of paragraphs is converted into another word, letter by letter, using a particular pattern of letters and numbers. At the point of delivery this is again converted back by applications like WhatsApp and this is generally called Encryption.

This is the most important topic in Mathematical Reasoning.


DIRECTION SENSE

Something very natural to some and lacking in most.

The basic concepts required are :

Understanding the difference between distance and displacement of a body.

The eight basic directions: North, South, East, West, NW, NE, SW, and SE.

The concept of the direction of the shadow of an object depending on the direction of the body wrt the sun and the time of the day.

Finally, how to calculate distances with the help of the displacement of a body from the initial and final point.



RANKING

The basic purpose is your ability to find the position of a person in a grid of rows and columns.

This tests your ability to navigate through the grid with the given inputs.

Finally, there are questions based on the sub set of this concept to relatively rank a person depending on the performance in examination.



SERIES

The purpose of these questions would be to find the next few options or missing options of a series.

Each of the terms can be made of numbers, letters or alphanumeric series.

The logic in most cases would be those you have seen somewhere in your high school study : Odd, Even, AP,GP, Squares or Square roots, Cubes or Cube roots and finally a number added or subtracted from these series.

There could be other series and if you want to master this topic and also improve your speed, you need to practise questions.


VENN DIAGRAMS

Venn diagrams are used to study properties of various objects which belong to unique sets but share some properties of other sets.

The total number of objects is taken as the Universal set and sets having objects of unique properties are usually taken as circles.

Now, some objects may be shared by two sets and this is known as the intersection.

Now the most difficult question at this level would be to identify objects having properties of three sets or properties of only its parent set and do not share with other sets.

The subsets of the Universal set may be represented by polygons like Triangles, Squares and Rectangles.


CUBES

Here questions are of two types :

First case, there is one cube painted differently over the six faces and questions based on the colour of a face after some inputs and placing the cube in a particular orientation and looking through a unique perspective.

Second case, it is in the form of rubix cube with three layers horizontally and vertically. Here questions can be very difficult depending on the inputs.



DICE

The first type of question is similar to the question on Cubes, here each face has a number from 1 to 6. And depending on the inputs of the relative position of faces with numbers and placement of the cube, questions will be on the number on a particular face.

The second type is the twodimensional perspective of the faces with numbers and inputs on formation of the cube, questions again based on relative position of faces making the cube.
