GMAT Quantitative Vocabulary

Even number x Even number=

-Even Number

How man questions are in the quantitative section of the GMAT ?

31

A number is divisible by 3 if

the sum of its digits is a number divisible by 3. For example, see whether 108 is divisible by 3. The sum of the digits is 1 + 0 + 8 = 9. Since 9 is divisible by 3, the number 108 is also divisible by

Fraction version of the remainder equation

y/x = q + r/x Y = Divisor * Quotient + Remainder = xq + r and 0<_r <-X

Quotient is the result of

division

A number is divisible by 2 if its a

even integer

Product is the result of

multiplication

Define a Factorial

1. !. mark after a number, such as 5!, indicates a factorial 2. Factorial is the product of the indicated numbers and all positive integers less than that number 3. For example, 5! = 5 x 4 x 3 x 2 x 1 4.Although you could calculate the value of the factorial (for example, 5! =120), most factorial problems will be easier if you leave it in a factored form . That allows you to cancel like terms and otherwise simplifyi the numbers look at the following example:

Alt area formulas for a Triangle

1. A = (P*r) / 2 2. A = abc/4 R Note- a, b, c are Angels inside the triangle

A prime factor is .....

1. A factor is a prime number Any of the prime numbers that can be multiplied to give the original number. Example : the prime factors of 15 are 3 and 5 (because 3x5=15, and 3 and 5 are prime numbers If integer x is a factor of inter y, then x is called a prime factor of y.

Third Side Rule

1. With non -right triangles, you cannot find the exact length of the third side using only the lengths of the other two sides, but you can determine a range for its length by using the third side rule. 2. The third side rule says that the length of an unknown side of a triangle must be less than the sum of the two known sides but more than their difference. In the figure above, that means (15-10) < x < (15 +10), so th emissing side is between 5 and 25.

Area of a Triangle

= (1/2) base x height

Per in a word Problem

Divided BY ---> The mode is the number that is repeated more often than any other, so 13 is the mode

Word Problems

1. Read the entire question carefully and get a feel for what is happening. Identify what kind of word problem your're up against. 2. Make a note of exactly what is being asked 3. Simplify the problem - this is what is usually mean by translating the English to Math. Draw a figure or table. Sometimes a simple illustration makes the problem much easier to approach 4. It is not always necessary to start from the first line. Invariable, you will find it easier to define what you have been asked for and then work backwards to get the information that is needed to obtain the answer 5.spend at most 90 seconds on a problem , you have a average of two minutes per problem 6. Confirm your answer

Basic Explanation of the Remainder equation

1. Y = Divisor * Quotient + Remainder = xq + r and 0<_r <-X Also know y/x = q + r/x For finding "n" or the number that is being divided. There is a way to derive general formula for n (of a type n = mx + r, where "x" is a divisor and "r" is a remainder) ***M , the divisor will be the least common multiple of the above two divisors in question ***R , the remainder will be the first common integer of two equations . Remainder "r" would be the first common integer in two patterns

How much time is in the Quantitative Section of the GMAT

62

Time =

= Distance / Speed

Even x odd =

= Even

Odd + or - Odd

= Even

Volume of a Retangular Box

= Length x Width x Height

Even + or - odd

= Odd

Odd x odd = odd

= Odd

Area of a square

= Pi * r^2 *

Volume of a Cylinder

= Pi * r^2 * h

Even + or - even =

= even

characteristics of the Distance Formula : What type of speed does it depend on?

A. The Average Speed B. Distance = Speed x Time

Distinct Numbers

Are number are numbers that are not equal to one another. For example, 2 and 3 are distinct numbers but 4 and two squared are not distinct numbers

What is a Integer

Avwhole number

Remainder Equation

Divisor * Quotient + Remainder

How to divide a fraction

Flip over the second fraction

What is a prime number?

Is a number that has exactly two distinct factors, 1 and itself. This means that the number isn't divisible by anything besides itself and the number 1. The first ten prime numbers are 2, 3, 5, 7, 11, 17, 19, 23 and 29. Two is the only even prime number. That's because all other even numbers are divisible by 2

The Mean

Is the average

Reciprocal:

Is the number you multiply it by to get 1. In other words, if the product of two numbers, m and n, is 1, then the numbers are reciprocal . For example, the reciprocal of 2 is the number in which 2 can be multiplied in order to yield a product of 1? 2 x (½) = 1

Squaring non-integedrs like ⅔ results in a smaller number or larger number

Smaller #

Distance =

Speed x Time

The Median

The middle average

The Mode

The mode is the number that is repeated more often than any other, so 13 is the mode

Distance between two points in a three dimensional space?

This often takes the form of a diagonal line between opposite corners of a rectangular box. Or the super pythagorean formula

Characteristics of of an Isosceles Triangle

Two of the sides are equal. Also, the two angles opposite those sides are equal. See the diagrams below.

What is Remainder Equation

Y = Divisor * Quotient + Remainder If x an y are positive integers, there exist unique integers Q and R, called the quotient and remainder, respectively, such that Y = Divisor * Quotient + Remainder = xq + r and 0<_r <-X When y is divided by x the remainder is 0 if y is a multiple of x. For example, 12 divided by 3 yields the remainder of 0 since 12 is a multiple of 3 and 12 = 3 * 4 + 0 When a smaller integer is divided by a larger integer, the quotient is 0 and the remainder is the smaller integer. For example, 7 divided by 11 has the quotient 0 and the remainder 7 since 7 = 11 * 0 +7 The possible remainders when positive integer y is divided by positive integer x can range from 0 to x - 1. For example, possible remainders when positive integer y is divided by 5 can range from 0 (when y is a multiple of 5) to 4 (hen y is one less than a multiple of 5).

Volume of a cube equation

a^3

A number is divisible by 9 if the sum of its

digits is a number divisible by 9. This is very similar to the divisible by 3 rule. For example, see whether 902,178 is divisible by 9. The sum of the digits is 9 + 0 + 2 + 1 + 7 + 8 =27 .

A number is divisible by 4 if

he number formed by its last two digits is divisible by 4.

A number is divisible by 6 if

if it is divisible by both 2 and 3, using the rules above.