Quantitative Aptitude

Different types of numbers
FACEPrep · 3 min read
In this article, we shall discuss the different types of numbers existing in the numeral system.
All you need to know about remainders
FACEPrep · 3 min read
In this article, we go through the concepts of remainders, remainder calculation, remainder theorem, Euler's theorem and Fermat's theorem.
Factors or divisors
FACEPrep · 2 min read
In this article we shall discuss the concepts of factors or divisors, finding factors of a number, finding number of divisors, prime factors and Totient function.
Units digit
FACEPrep · 2 min read
Units digit is the digit which denotes the 'number of ones' in that number. A few methods to find the units digit of a number are discussed.
Methods to find last two digits of large numbers
FACEPrep · 2 min read
Finding the last two digits of large numbers, written in an indirect exponential form, is a challenging task in quantitative aptitude problems. In this, we shall discuss methods to find the last two digits of such large numbers.
Factorial function
FACEPrep · 2 min read
In this, we shall discuss the basics of factorial function, applications of factorial function and binomial theorem.
Rules of divisibility
FACEPrep · 3 min read
In this, we discuss the rules of divisibility and divisibility test for numbers 2-16.
Base system
FACEPrep · 2 min read
The radix or base is the number of unique numerical digits, including zero, that a numeral system uses to represent numbers. In this, we discuss base system and base conversion.
Methods to find HCF and LCM - Important formula and tricks
FACEPrep · 4 min read
In this, we find Highest Common Factor (HCF) and Least Common Multiple (LCM) using division method and prime factorisation method.
Digital root
FACEPrep · 2 min read
Digital root (Digit sum) of a number is a result of the progressive summation of the digits of a number. In this, a few digit root rules are discussed.
Understanding greatest integer function and least integer function
FACEPrep · 2 min read
The greatest integer function, returns the value of the greatest integer less than or equal to a given value whereas, the least integer function, returns the value of the least integer more than or equal to a given value.
Fundamentals of geometry
FACEPrep · 4 min read
Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. In this we discuss the fundamentals of geometry and parallel lines.
Fundamentals of triangles
FACEPrep · 3 min read
In this, we discuss the basic properties of triangles and classification of triangles based on sides and angles.
Right triangles
FACEPrep · 3 min read
A right triangle or right-angled triangle is a triangle in which one angle is a right angle. In this, we discuss the basic properties of right triangles, Pythagoras theorem and Euler line.
Elements of triangles
FACEPrep · 2 min read
In this, we discuss various elements of triangles like medians, centroid, altitude, orthocenter, perpendicular bisectors, circumcenter, angular bisectors, and incenter
Concepts of similar triangles
FACEPrep · 3 min read
Two triangles are said to be similar if their corresponding angles are equal and corresponding sides are proportional. In this article, we discuss similarity of triangles, postulates of similarity and properties of similar triangles.
Polygons
FACEPrep · 3 min read
A polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. In this we look at the regular polygons like hexagon and octagon.
Quadrilaterals
FACEPrep · 3 min read
A quadrilateral is any closed shape that has four sides. The sum of the measures of the angles is 360 degrees. Some of the known quadrilaterals are square,rectangle, trapezium, parallelogram and rhombus. We look at some of their properties.
Circle geometry
FACEPrep · 3 min read
A circle is a closed curve formed by a set of points on a plane that are at the same distance from its center. In this article, we discuss some important definitions, properties of circles, chords of a circle and tangents.
Solid geometry
FACEPrep · 4 min read
In this article we discuss Euler's formula of solid geometry and properties of solid shapes like cube, cuboid, tetrahedron, parallelepiped, prism, pyramid, cylinder, cone and, sphere.
Fundamentals of coordinate geometry
FACEPrep · 3 min read
The study of geometry using a coordinate system and the principles of algebra and analysis is called coordinate geometry. In this article, we will discuss the coordinate plane, lines, and equation of a line.
Arithmetic Progression Formula, Problems and Solutions | FACE Prep
FACEPrep · 2 min read
An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. In this article, we discuss some important concepts necessary to solve questions based on progressions in aptitude tests.
Geometric Progression Formula, Concepts, Tricks & Solved Problems | FACE Prep
FACEPrep · 3 min read
A geometric progression (GP) or geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number. In this article, we discuss the key concepts like Infinite geometric sequence, and geometric mean.
Harmonic progression
FACEPrep · 2 min read
A harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an Arithmetic Progression. In this article, we discuss the concepts of harmonic mean and applications of harmonic mean.
Progressions: Other important concepts
FACEPrep · 2 min read
In this article, we shall discuss other important concepts related to progressions and the relation between arithmetic mean, geometric mean and harmonic mean.
Finding average
FACEPrep · 3 min read
Average can be defined as a single value that is meant to typify a data set. In this article, we discuss weighted average and the deviation method of calculating average.
Mixtures and Alligations Tricks, Formulas, Important shortcuts with examples
FACEPrep · 2 min read
Alligation is a fast and effective technique to back-calculate weights or corresponding averages from a known weighted average. In this article, we discuss some applications of alligation.
Percentages Formulas, Shortcuts and Tricks to Calculate Percentages | Faceprep
FACEPrep · 10 min read
A percentage is a way of expressing a number as a fraction of 100. In this article, we look at calculating percentages and product constancy rule.
Formulas of Profit and Loss | Important Profit and loss Concepts, Tricks
FACEPrep · 5 min read
'Profit and loss' is one of the many application-oriented concepts which deal with the day to day transactions that happen in one’s life. In this article, we discuss important definitions, list price, and discount.
Simple Interest and Compound Interest Formulas, Tricks & Problems | FACE Prep
FACEPrep · 4 min read
Interest is the additional amount of money paid to the lender by the borrower for using the borrowed money for a specific period of time. In this article, the concepts of simple interest, compound interest, values of money and population are discussed.
Bank Rates
FACEPrep · 2 min read
Bank rate or Discount rate is the rate of interest which a central bank charges on the loans and advances to a commercial bank. We shall discuss some important terms and ratios commonly used.
Important Ratio and Proportion Formulas, Tricks and Examples | FACE Prep
FACEPrep · 4 min read
The concepts of ratio and proportion are fundamental to the study of various topics in the quantitative ability section, including numbers, geometry, speed, distance and work concepts. In this article, we also discuss proportionality.
Partnerships
FACEPrep · 2 min read
When two or more people come together to start a business, then it is called a partnership. In this, we discuss the aspects of partnership management and sharing of profits in a partnership.
Time and Work Formulas, Important Concepts and Tricks
FACEPrep · 10 min read
Time and work is an important concept for placements. At least 3 questions are asked in AMCAT, Cocubes or other placement tests.
Important Time Speed Distance Formulas, Concepts and Tricks | FACE Prep
FACEPrep · 5 min read
Time and distance are fundamental quantities of measurement. In this article, we discuss the concepts of relative speed, average speed and types of problem likely to be asked in aptitude tests.
Types of motion
FACEPrep · 2 min read
Motion is a change in position of an object with respect to time and its reference point. Motion is typically described in terms of displacement, direction, velocity, acceleration, and time. In this, we discuss types of motion and the related equations.
Introduction to set theory
FACEPrep · 3 min read
Set theory is the branch of mathematical logic that studies sets, which are collections of objects. In this, we discuss the basic properties of sets, and set operations.
Functions and graphs
FACEPrep · 5 min read
A function is a concept of mathematics that studies the dependence between variable quantities in the process of their change. In this article, we shall discuss types of functions and plotting a function.
Special functions
FACEPrep · 2 min read
In this article, we discuss some special functions like mod function, the exponential function, and trigonometric functions.
Understanding inequalities
FACEPrep · 4 min read
Inequality is a relation that holds good between two values when they are different. In this article, we discuss the properties of inequalities and modulus or absolute value.
Logarithm Formulas, Rules, Examples & Logarithms Formulas Table | FACE Prep
FACEPrep · 3 min read
The logarithm of any number to a given base is the index or the power to which the base must be raised in order to equal the given number. In this article, we discuss the properties of logarithms.
Permutations and Combinations Formulas, Concepts, Shortcuts, and Tricks | FACE Prep
FACEPrep · 3 min read
In this article, we discuss the basics concepts like counting, permutations, combinations and AND-OR simplifications.
Probability Formulas with Examples for Probability Aptitude Problems | FACE Prep
FACEPrep · 4 min read
The word probability can be defined as a measure of likelihood for the occurrence of some event. In this, we discuss the basic definitions, mathematical probability, theorems of probability and expected value.