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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 |
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