Algebra formulas for MBA

[pooja]

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I’m looking for the Algebra Formulas to prepare for the MBA entrance exams easily for that will you please help me here to get the information?

[Pathak]

On your concern buddy I will help you here to get the Algebra Formulas to prepare for the MBA entrance exams and I hope you will score well in exams.

Here is the formulae list
GMAT arithmetic formula list
Order of solving the operators

PEMDAS: Parenthesis – Exponents – Multiplication – Division – Addition – Subtraction

Maximum ‘silly mistakes’ in GMAT maths happen because of not following this rule strictly. So we are placing this at the very top. Memorise this and make it second nature.

Here’s another set of very simple rules that often cause a lot of distress after you’ve realised why you got the question wrong.

[Positive Number] X [Positive Number] = [Positive Number]
[Positive Number] X [Negative Number] = [Negative Number]
[Negative Number] X [Negative Number] = [Positive Number]

[Positive Number] / [Positive Number] = [Positive Number]
[Positive Number] / [Negative Number] = [Negative Number]
[Negative Number] / [Negative Number] = [Positive Number]

[Odd Number] + [Odd Number] = [Even Number]
[Odd Number] – [Odd Number] = [Even Number]
[Odd Number] + [Even Number] = [Odd Number]
[Odd Number] – [Even Number] = [Odd Number]
[Even Number] + [Even Number] = [Even Number]
[Even Number] – [Even Number] = [Even Number]

[Odd Number] X [Odd Number] = [Odd Number]
[Odd Number] X [Even Number] = [Even Number]
[Even Number] X [Even Number] = [Even Number]

Roots

This is the reverse of exponents. With the square root (√) symbol we are trying to find a number that should be multiplied by itself to get the answer.

For example, √100 = 10

A cube root requires the same number to be multiplied thrice.

3√64 = 4 [because 4 X 4 X 4 = 64]


Factorials

n! = n * (n-1) * (n-2) * … * 2 * 1

0! = 1


Permutation and Combination formulas

Permutation formula: nPr = n! / (n-r)!

Combination formula: nCr = n! / (r!)(n-r)!


Formulas for word problems

Proability = Number of favourable outcomes / Number of all possible outcomes

Probability of events A & B happening = Probability of A X Probability of B

Probability of either event A or B happening = Probability of A + Probability of B

Distance = Speed * Time

Wage = Rate * Time


List of GMAT algebra formulas
Absolute values

|x| depicts the absolute value (or magnitude). Here are some rules and formulas for absolute values.

|x| = x

|-x| = x

|x| = |-x|

|x| ≥ 0

|x| + |y| ≥ |x+y|


Base – Exponent Relationship

In the expression xn, ‘x’ is the base and ‘n’ is the exponent. The way to interpret is that the base ‘x’ gets multiplied ‘n’ times.

Some rules and formulas that apply to base/exponents:

0n = 0

1n = 1

x0 = 1

x1 = x

(x)-n = 1 / xn

xm * xn = xm+n

xm / xn = xm-n

(xm)n = xm*n

(x/y)n = (x)n/(y)n


GMAT geometry formulas list
Area & Perimeter formulas

Square: Area: (length)2 | Perimeter: 4(length)

Rectangle: Area: length X breadth | Perimeter: 2(length) + 2(breadth)

Parallelogram: Area: base X height | Perimeter: 2(base) + 2(height)

Circle: Area: πr2 | Circumference of a circle: 2πr [where Pi (π) = 3.14]

Triangle: Area: (1/2) length X breadth

Pythagoras Theorem (for right angled triangles): (base)2 + (height)2 = (hypotenuse)2


Volume formulas

Cube: (length)3

Rectangular prism: length X breadth X height

Cylinder: πr2h

Cone: (1/3) πr2h

Pyramid: (1/3) base X height

Sphere: (4/3)πr3