GMAT Arithmetic Syllabus 2020: Section Wise Details
The GMAT exam, conducted by GMAC has a prolonged history. It is conducted throughout the world for MBA aspirants to secure a chance in their dream business school. In Indian, the IIMs organize the process and there are plenty of students fighting to secure marks among the topmost parameter. Now, we can assume how crucial this exam is for the students, and in the same manner, we can identify the intensity in the question paper especially the quant section of GMAT. Students are often noticing to stumble upon when it comes to preparing for GMAT quant section. The very reason behind this is the unawareness of the syllabus. This is true in most of the cases where we find the students not knowing the syllabus minutely but have started preparing. Today let us discuss the arithmetic syllabus to make the students recollect what is exactly in it.
GMAT Exam Pattern
Before starting the preparation of the exam, it is necessary to know the exam pattern of GMAT thoroughly. Exam Pattern of the exam is as follows
|Section||Questions||Time In Minutes|
|Analytical Writing Assessment||1||30|
The above table gives an idea about the whole syllabus at a glance. Each question has been allotted 2 minutes and therefore the need to learn the syllabus thoroughly is highly advised. Let us get down to the main GMAT arithmetic syllabus.
GMAT Arithmetic: Average
The average is one of the topics of GMAT arithmetic. While doing the GMAT Arithmetic: Average section, the student must remember one thing – the average of a list of successive integers is the average of any central pair of integers nearby the median. For instance, in 1, 2, 3, 4, 5 – 3 is the median.
The average section is further branched into –
- The basic formula for average, Weighted average: This is the procedure incorporated when we combine different groups of different sizes. For instance, the boys in the school have a particular number whereas the girls have other.
- Using average to find another number, average speed.
GMAT Arithmetic: Decimals
The next topic is GMAT Arithmetic: Decimals which are further divided into-
- Addition and subtraction of decimals: to do any of these with two decimal values, and if one value has lesser numbers then add necessary zeros. Or,
7.872 + 6.30285 = 7.87200 + 6.30285 = 14.17485
- Multiplying and dividing with decimals: While doing this, never line up the decimals as it will insert them afterward. Instead, always multiply the decimals assuming them to be whole numbers. Or,
1.56 (two numbers after the decimal) × 2.3 (one number after the decimal) = 3.588 (three decimals—the sum of one and two above)
GMAT Arithmetic: Fractions
Though fraction is quite a common topic since school days in GMAT the sections will include –
- Numerator and denominator,
- Equivalent fractions: These are different numerators and denominators resulting in the same whole number values. Or, 4/8 = 4 x 28 x 2 = 8/16
- Types of fractions – Proper fractions or smaller numerator and greater denominator or 2/8, Improper fractions or bigger numerator and smaller denominator or, 8/2, mixed fractions or 614, and reciprocal fractions,
- Addition, multiplication, and division of fractions,
- Mixed numbers: A value consisting of integers and proper fractions.
GMAT Arithmetic: Integers
A number is not a fraction but a whole number is an integer. Syllabus for Integers in GMAT is further branched into –
- Even and odd integers: 2, 6, 8 are even integers and 1,3, 5, are odd.
- Mathematical operations of integers,
- Addition and deduction rules in integers: If you multiply two positive and two negative integers the answer will be positive. But if one of the integers is positive and the other negative then the answer will be negative.
- Prime numbers: or numbers that are divisible by itself and 1. For instance, 2, 3, 5, 7, 11, and so on.
- Consecutive integers: or numbers which follow in order and they have a difference of 1 between every two numbers.
- Properties of the integer 0
- Divisibility Rules of 2, 3, 4, 5, 6, 7, 8, 9.
GMAT Arithmetic: Numbers
In the Quant section, GMAT Numbers is an umbrella term and syllabus includes many topics underneath.
- Integers and Whole Numbers,
- Rational and Irrational Numbers: Or we can write 7 as 7/1, -2 as -2/1, and therefore all these are rational numbers. The square root of 2 is, for instance, an irrational number,
- Prime Numbers,
- Prime Factorization,
- Absolute Value: or the process of removing any negative sign in front of the number and making it a positive one.
- Order of equations (PEMDAS),
- Exponents and Roots.
GMAT Arithmetic: Percentage
Percentage or a number or ratio expressed as a fraction of 100. In GMAT Percentage, the students have to study the following sections of percentage-
- Concept of percentage increase: the percent increase between two values is the difference between the final value and the initial value, which is further represented as the percentage of the initial value.
- Fractions and percentages,
- Percent changes as multipliers- a) X% of a number and b) X% of the increase and decrease: A "multiplier" is a number I multiply by x orderly to take a certain percentage of x or increase or decrease x by a certain percentage.
GMAT Arithmetic: Probability
Probability states the occurrence of a certain event. GMAT Probability is further sectioned into –
- Studying basic examples of flipping a coin,
- Tossing a die,
- Drawing a card from a deck,
- Drawing marbles from a bowl,
- Drawing marbles from a bowl (second drawing).
- Probability Rules – Disjoint or Mutually Exclusive Events
GMAT Arithmetic: Ratio and Proportion
The concept of ratio and proportion has been present since school days but in GMAT quant section, the ratio and proportion topic has few more additions to it.
- Understanding ratio and proportion: while ratios represent two quantities and their comparison, proportion states that two ratios are equal. Thereby, it is effortless to calculate the ratios of the mentioned proportion. For instance, ratio is a:b or a/b, and the proportion is a:b::c:d.
- Mixture/blends problems: Mixture or allegation problems are explained by mixing two or more liquids with different ratios, mixed homogeneously. The problem follows from this state.
GMAT Arithmetic: Real numbers
- Number line: All the real numbers respond to points on the number lines, and all the points on the number line respond to the real number.
Numbers lined to the left of zero are negative and right of zero is positive.
- Absolute value: The absolute value of any number is a similar number without any negative sign.
- Properties of a real number.
GMAT Arithmetic: Roots and Powers
Roots and power are studied in vivid nature at the high school level. Syllabus of GMAT roots and powers include
- Exponents – positive and negative: The exponent of a number denotes how many times the number can be multiplied. For instance, 82 this means 8 can be multiplied twice. Negative exponent simply means the base is on the wrong side of the fraction, so it is needed to be flipped to the other side. For instance, x-2.
- Multiplying and dividing exponents,
- Fractional exponents: it expresses powers and roots together – 911/2 = 291
- Negative exponents,
- Roots’ properties- radicals, squaring, and square roots.
GMAT Arithmetic: Sets
A set in mathematics can be explained as objects which are distinct in its own self and in its own right. Set A- 1, 2, 3, 4, 5 is a set of 5.
- Overlapping sets: Sets B and C are termed overlapping if they have at least one thing in common.
- Elements of sets,
- Venn diagram: It displays mathematical and logical sets in an enclosed circle. It further can be sectioned into two and three-circle Venn diagram.
- Sets as groups
GMAT Arithmetic: Statistics
Statistics is a part of mathematics where the collection, analysis, interpretation, and representation of masses of numerical data is worked on. GMAT Statistics syllabus comprises
- Mean: Mean is the average of the numbers. Add all the numbers and divide by how many numbers there are present.
- Median: to find the median, arrange the number in a particular order, if a total number of values is odd then the middle one would be the median and if it is even then the middle two numbers are to be added and made average.
- Mode: the most repeated value is the mode.
- Range: the range of asset of data is the difference between the largest and the smallest data
- Standard deviation: measures the amount of dispersion or deviation from the set of values
GMAT Arithmetic: Permutation and Combination
Permutation is the act of arranging the numbers in order and a combination is choosing the objects from the group or collection. Syllabus of GMAT Permutation and Combination includes
- Principle of multiplication: this states that if we add or deduct any number from one side of the equation then the same needs to be performed on the other side too.
- Factorial: A factorial is displayed by the sign (!). When we come across n! (known as 'n factorial') we say that a factorial is the outcome of all the whole numbers between 1 and n, where n must always be positive.
after studying the syllabus properly, the students can now prepare well for the quant section of GMAT, along with thoroughly going through the preparation tips for GMAT.
*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College