GMAT: MANHATTAN 4ED, NUMBER PROPERTIES 4TH EDITION PT 1/2
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135 terms
Terms | Definitions |
|---|---|
| What integers are a factor of 48? | 1 2 3 4 6 8 |
| What integers are a factor of 8748? | 1 2 3 4 6 9 |
| How many factor pairs are there for 72? How many factors? | 6 (1 2 3 4 6 8, 9 is a pair with 8 so isnt counted twice) 7 (1 2 3 4 6 8, 9) |
| How many factor pairs for 48? How many factors? | 6 (1 2 3 4 6 8) 6 (1 2 3 4 6 8) |
| How many factor pairs for 21? How many factors? | 3 (1 3 7) 3 (1 3 7) |
| What are the 1st 15 prime numbers? | 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 |
| What are all the prime numbers between 50 and 100? | 53 59 61 67 71 73 79 83 89 97 |
| Is one a prime number? (Y/N/CBD) | N |
| What are 72's prime factors? | 2 2 2 3 3 |
| What are 48's prime factors | 2 2 2 2 3 |
| What is the GCF between 30 (235) & 24 (2223) ? LCM? | 6 120 |
| x has a prime box with the following numbers (5 5 5) what is x? | 125 |
| x has a prime box with the following numbers (5 2 3) what is x? | 30 |
| What is the LCD & GCF between 12 & 24? | 12 24 |
| What is the LCD & GCF between 30 & 3? | 3 30 |
| What is the LCD & GCF between 72 & 7? | 1 504 |
| What common factors would go in the common area for a venn diagram of 12 & 16? | 2 2 |
| If 2 numbers have no primes in common then their GCF is? There LCM is? | 1 & their product |
| If z is divided by 7 or by 18, an integer results. Is z/42 an integer? ("whole number") (Y/N/CBD) | Y |
| If 80 (22225) is a factor of r, is 15 (35) a factor of r? (Y/N/CBD) | CBD |
| If j is divisible by 12 (223) and 10 (25) is j divisible by 24 (2223)? (Y/N/CBD) | N (one of the 2's is shared) |
| Given that 6 is a divisor of r and r is a factor of s, is 6 a factor of s? (Y/N/CBD) | Y |
| If 24 (2223) is a factor of h and 28 (227) is a factor of k, must 21 (37) be a factor of hk? (Y/N/CBD) | Y |
| If k is divisible by 6 (k=23) and 3k is not divisible by 5, is k divisible by 10? (3=3, k=23) (Y/N/CBD) | N (there is no 5 in venn diagram) |
| If 60 (2233) is a factor of u, is 18 (233)a factor of u? (Y/N/CBD) | CBD |
| If s is a product of 12 and t is a multiple of 12, is 7x + 5t a multiple of 12? (Y/N/CBD) | Y |
| With a total point count of 21 how many times did Timmy win? 1st=7 pts, 2nd=3pts 3rd=1pt | 2 (1st once & 2nd once) |
| When mulptilpying integers if you have even one even number the product will be even? (Y/N/CBD) If 3 even the product will be divisible by 8? (Y/N/CBD) | Y Y |
| The only way to have an odd answer when adding, subtracting or multiplying is if you add or subtract and odd & an even? | N (OxO=O) |
| Division has one simple rule of divisibility for odds and evens? (Y/N/CBD) | CBD |
| odd+even+odd=odd (Y/N/CBD) | N |
| If t is odd then t² is odd? (t-1)² ? (t-1/100)² ? (Y/N/CBD) | Y N CBD |
| Because OxO=O then the opposite O/O=O? (Y/N/CBD) | CBD (There are no rules to division) |
| If a+b is even, ab is even? (Y/N/CBD) | CBD |
| If h is even, j is odd and k is odd then k(h+j)=even? (Y/N/CBD) | N |
| If xy is even and z is even, then x + z is even? (Y/N/CBD) | CBD |
| │-5│ , │5│, both are the same thing? (Y/N/CBD) | Y |
| If Signs are the Same the answers poSitive, if Not the answer is Negative? (Y/N/CBD) If both intergers are Even the answEr is Even if nOt then Odd? (Y/N/CBD) | Y CBD |
| 56 / (-7) = NEG#? (Y/N/CBD) | Y |
| (-7) x 7 x (-6) x (-2) / -5 = NEG#? (Y/N/CBD) | N |
| 5 negative values plus unknown number of positive values will always equal negative value? (Y/N/CBD) | CBD (rules do not apply to addition. ex ) |
| Count the number of negatives in a DIV or MULT problem, if there is an even number the problem is positive if an odd number then negative? (Y/N/CBD) | Y |
| If │z-4│ = 4-z then we know z is a number between n-n? | 0-4 |
| │z│× y², given that zy ╪ 0? (P/N/CBD) | P |
| │ab│/b, given that b<a<0? (P/N/CBD) | N (P/N=N) |
| h²×²k³m², given that k<0 and hm╪0? (P/N/CBD) | N (odd # of odds = N) |
| What is the sum of all integers from 20 to 100, inclusive? | 4860 (60×81) |
| If there are a set of 3 consecutive integers the product will always be divisible by what numbers? | 1 2 3 6 |
| If there are a set of k consecutive integers the product will always be divisible by what? | k! |
| If z² = 16, is z equal to 4? (Y/N/CBD) | CBD (pg64) |
| Is -4² equal the same as 4²? (Y/N/CBD) | Y (16) |
| An even exponent changes the sign of its base? Is -4² = a positive integer? Is 4² = a positive integer (Y/N/CBD) | CBD Y Y |
| -65³ = ? -1³ ? -0³ ? (N/P/0) | N N 0 (this is the only way exponent can change base) |
| 5493³ = ? 1³ ? 0³ ? (N/P/0) | P P 0 |
| -738² = ? -1² ? -0² ? (N/P/0) | P P 0 |
| 94787² = ? 1² ? 0² ? (N/P/0) | P P 0 |
| A negeative base with an odd exponent is the only way the product will result in a negative? -3³ = -9? (Y/N/CBD) | Y Y |
| z¹ = z¹×² = z¹×³ if z = ? | 0 1 |
| z²×² = z¹×² = z² if z = ? | 0 1 -1 |
| ¾² = | 9/16 |
| ¾³ = | 27/64 |
| Is this a true statement: 0.6² > 0.6³ (Y/N/CBD) 0.6² > 0.5² ? 0.6³ > 0.5² | Y Y N |
| 0.5³ = 0.125 = ? / ? | 1/8 |
| 0.6³ = 0.216 ≈ ? / ? | 1/5 (roughly) |
| 8 × 125 = 2³ × 5³ = (? × ?)³ | 2 5 (2×2×2=8 & 5×5×5=125) |
| 2³+5³=?, (2+5)³=?, 2³×5³=?, (2×5)³ =? | 133 343 1000 1000 (+ is different then ×when compounding bases w/ exponents) |
| 3² × 3² = 3×3×3×3 = 3²×² (Y/N/CBD) | Y |
| 3² + 3² = 3×3×3×3 = 3²×² (Y/N/CBD) | N (3² +3²=18) |
| 3² + 3² = 3×3 + 3×3 (Y/N/CBD) | Y |
| 3^7/3^7=? | 1 |
| 3×3²= ? | 27 |
| 3^0 = | 1 |
| 3^6/3^2 = | 3^4 |
| (3/4)^-3 = | 64/27 |
| 1/4-² = | 16 |
| (-2)-³ = 1/(-2)³ | -1/8 |
| 25²/³ = | 125 |
| 2^4 × 3^4 = | 6^4 |
| Simplify: 5³ × 2² = | 10³ |
| Simplify: yⁿ× zⁿ | (yz)ⁿ |
| Simplify: z^a × z^b | z^a+b |
| Simplify: z^a / z^b | Z^(a-b) |
| Simplify: (a/b)ⁿ | aⁿ/bⁿ |
| Simplify: (aª)º or (aº)ª | aºª |
| Simplify: z-ⁿ | 1/zⁿ |
| Simplify: º√xª = (º√x)ª | xª/º |
| Simplify: aⁿ + aⁿ + aⁿ = | 3aⁿ |
| You can/cannot simplify exponential expressions when they are linked by multoplication and division? | can |
| Simplify: 12^7/3^7 = (3x2x2)^7/3 | 4^7 |
| 3º4³ | 4³ |
| 3ⁿ-ⁿ(2x2)³ | 4³ |
| Factor: 3³+12³ | 3³(1+4³) |
| Factor: 7²² + 7³² | 7^4(7²+1) or 7^4(50) |
| You can/cannot factor exponential expressions when they are linked by addition and subtraction? | can |
| Factor: 6^5-6³ | 6³(6²-1) |
| Factor: 4^20 + 4^21 +4^22 | 4^20(21) or 4^20(3x7) |
| If r³ + │r│ =0, what are the possible values of r? | 0 -1 |
| Simplify: y² × y^5/(y²)^4 | 1/y |
| If b>a?0, and c╪0, is a²b³c^4 positive? | yes |
| if y^5>0, is y<0? | no |
| if x^4 =16, what is │x│? | 2 |
| x³ < x². Describes the possible values of x. | Any non-zero less then 1 |
| Does a² + a^4 = a^6 for all the values of a? (Y/N/CBD) | N |
| 2^-5 | 1/32 |
| 8^5/3 | 32 |
| 9^-1/2 | 1/3 |
| (4/9)^-3/2 | 27/8 |
| 7^6 / 7^4 | 49 |
| 8^4(5^4) | 2560000 |
| 2^4 × 2^5 / 2^7 -2^4 | -12 |
| 9^4 / 3^4 + (4²)³ | 4177 |
| Root is the opposite of ? | exponent |
| ³√64 | 4 |
| √1 | 1 |
| √2 | 1.4 |
| √3 | 1.7 |
| √4 | 2 |
| √ 5 | 2.25 |
| √9 | 3 |
| √16 | 4 |
| √25 | 5 |
| √36 | 6 |
| √49 | 7 |
| √64 | 8 |
| √81 | 9 |
| √100 | 10 |
| √121 | 11 |
| √144 | 12 |
| √169 | 13 |
| √196 | 14 |
| √225 | 15 |
| √256 | 16 |
| √400 | 20 |
| √625 | 25 |
| √900 | 30 |
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