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# GMAT - Arithmetic

### Key GMAT Arithmetic

Question | Answer |
---|---|

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