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GMAT - Arithmetic

Key GMAT Arithmetic

QuestionAnswer
Define: Prime Numbers A integer that is only divisible by itself and 1. Neither 0 nor 1 is prime numbers.
Define: Divisor/Factor A POSITIVE integer that can divide into another integer.
Define: Multiple ANY integer (negative or positive) can divide into another integer with no remainder.
Define: Integer ANY (positive or negative) “whole” number i.e. not a fraction or decimal.
2x2= 4
2x3= 6
2x4= 8
2x5= 10
2x6= 12
2x7= 14
2x8= 16
2x9= 18
2x10= 20
2x11= 22
2x12= 24
2x13= 26
2x14= 28
2x15= 30
3x2= 6
3x3= 9
3x4= 12
3x5= 15
3x6= 18
3x7= 21
3x8= 24
3x9= 27
3x10= 30
3x11= 33
3x12= 36
3x13= 39
3x14= 42
3x15= 45
4x2= 8
4x3= 12
4x4= 16
4x5= 20
4x6= 24
4x7= 28
4x8= 32
4x9= 36
4x10= 40
4x11= 44
4x12= 48
4x13= 52
4x14= 56
4x15= 60
5x2= 10
5x3= 15
5x4= 20
5x5= 25
5x6= 30
5x7= 35
5x8= 40
5x9= 45
5x10= 50
5x11= 55
5x12= 60
5x13= 65
5x14= 70
5x15= 75
6x2= 12
6x3= 18
6x4= 24
6x5= 30
6x6= 36
6x7= 42
6x8= 48
6x9= 54
6x10= 60
6x11= 66
6x12= 72
6x13= 78
6x14= 84
6x15= 90
7x2= 14
7x3= 21
7x4= 28
7x5= 35
7x6= 42
7x7= 49
7x8= 56
7x9= 63
7x10= 70
7x11= 77
7x12= 84
7x13= 91
7x14= 98
7x15= 105
8x3= 24
8x4= 32
8x5= 40
8x6= 48
8x7= 56
8x8= 64
8x9= 72
8x10= 80
8x11= 88
8x12= 96
8x13= 104
8x14= 112
8x15= 120
9x3= 27
9x4= 36
9x5= 45
9x6= 54
9x7= 63
9x8= 72
9x9= 81
9x10= 90
9x11= 99
9x12= 108
9x13= 117
9x14= 126
9x15= 135
11x11= 121
11x12= 132
11x13= 143
11x14= 154
11x15= 165
12x2= 24
12x3= 36
12x4= 48
12x5= 60
12x6= 72
12x7= 84
12x8= 96
12x9= 108
12x10= 120
12x11= 132
12x12= 144
12x13= 156
12x14= 168
12x15= 180
13x2= 26
13x3= 39
13x4= 52
13x5= 65
13x6= 78
13x7= 91
13x8= 104
13x9= 117
13x10= 130
13x11= 143
13x12= 156
13x13= 169
13x14= 182
13x15= 195
14x2= 28
14x3= 42
14x4= 56
14x5= 70
14x6= 84
14x7= 98
14x8= 112
14x9= 126
14x10= 140
14x11= 154
14x12= 168
14x13= 182
14x14= 196
14x15= 210
15x2= 30
15x3= 45
15x4= 60
15x5= 75
15x6= 90
15x7= 105
15x8= 120
15x9= 135
15x10= 150
15x11= 165
15x12= 180
15x13= 195
15x14= 210
15x15= 225
Divisibility rule of 2 If the number's last digit is even.
Divisibility rule of 3 If the sum of the digits is divisible by 3.
Divisibility rule of 4 If the last two digits are divisible by 4.
Divisibility rule of 5 If the number ends in 0 or 5.
Divisibility rule of 6 If the number is even and the sum of the digits is divisible by 3.
Divisibility rule of 8 If the number is even when divided by 2 twice.
Divisibility rule of 9 If the sum of the digits is divisible by 9.
Divisibility rule of 10 If the number ends in 0.
Divisibility rule of 25 If the last two digits are divisible by 25 or are 00.
Divisibility rule of 11 If (sum of the odd digits) minus (sum of even digits) is divisible by 11
Divisibility rule of 12 If divisibility rule 3 and 4 are true: -If the sum of the digits is divisible by 3. and -If the last two digits are divisible by 4.
______?_______ ? ___numerator___ denominator
1/2 = 0.5
1/3 = 0.333....
1/4 = 0.25
1/5 = 0.20
1/6 = .1667
1/7 = 0.143
1/8 = .125
1/9 = .1111
Define: Least Common Multiple The smallest non-zero number that two or more numbers are a multiple of. Procedure: Factor each number and multiple the highest exponent example of each factor against one another.
Define: Greatest Common Factor The largest number that divides into each of a given set of numbers. Procedure: Factor each number and multiple the factors they have in common against one another.
Odd +/- Odd = Even
Odd +/- Even = Odd
Even +/- Even = Even
Odd x Odd = Odd
Odd x Even = Even
Even x Even = Even
Positive + Positive = Positive
Positive + Negative = Positive or Negative
Negative - Negative = Negative
Positive x Positive = Positive
Positive x Negative = Negative
Negative x Negative = Positive
-1^2= 1
0^2= 0
1^2= 1
2^2= 4
2^3= 8
2^4= 16
2^5= 32
2^6= 64
3^2= 9
3^3= 27
3^4= 81
4^2= 16
4^3= 64
4^4= 256
5^2= 25
5^3= 125
5^4= 625
6^2= 36
7^2= 49
8^2= 64
9^2= 91
10^2= 100
11^2= 121
12^2= 144
13^2= 169
14^2= 196
15^2= 225
20^2= 400
25^2= 625
Define: Units Digit The last digit in a number.
Is zero even or odd? Even
How many decimal places will this problem result in? .00678 x 3.42 = 7 decimal places
How many decimal places will this problem result in? .0022 / .003 = 1 decimal places
What is the only even prime number? 2
Are 0 and 1 prime numbers? No
Created by: 29705394 on 2010-02-27



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