|
PREP07 Test 1
|
In the finite sequence of positive integers $${K}_{1}$$, $${K}_{2}$$, $${K}_{3}$$....,$${K}_{9}$$each term after the second is the sum of the two terms immediately preceding it. If $${K}_{5}= 18$$, what is the value of $${K}_{9}$$?(1) $${K}_{4}={11}$$(2) $${K}_{6}={29}$$
|
|
|
If $$k = -1$$, which of the following is (are) true?I.$${k}^{k}={k}$$II.$$\mid {k}\mid=-{k}$$III.$${k}^{0}=-{k}$$
|
|
OG18 OG19 OG20 OG2022
|
For the positive integers a, b, and k, $$a^{k}$$ || b means that $$a^{k}$$ is a divisor of b, but $$a^{k +1}$$ is not a divisor of b. If k is a positive integer and $$2^{k}$$ || 72, then k is equal to
|
|
OG15 OG16 OG17
|
For the positive integers a, b, and k, $${a}^{k}$$ || b means that $${a}^{k}$$ is a divisor of b, but $${a}^{k+1}$$ is not a divisor of b. If k is a positive integer and $${2}^{k}$$ || 72, then k is equal to
|
|
|
If$$ k \neq 0, k \neq±1$$, and $$({k^{3}xkxk^{4}})^{2}\over{k^{n}xk}$$=$$k^{14} $$, then n =
|
|
OG12 OG15
|
If ° represents one of the operations +, -, and x,is k ° (l + m) = (k ° l) + (k ° m) for all numbers k, l, and m ?(1)k ° 1 is not equal to 1 ° k for some numbers k(2)°represents subtraction.
|
|
|
K is a set of integers such that if the integer r is in K, then r + 1 is also in K. Is 100 in K?(1) 50 is in K.(2) 150 is in K.
|
|
Magoosh
|
If k is a non-negative integer and $$15^{k }$$is a divisor of 759,325 then $$3^{k} - k^{3} =$$
|
|
OG12 OG15
|
Is $${5}^{k}$$ less than 1,000 ?(1)$${5}^{k+1} >3,000$$(2)$${5}^{k-1}={5}^{k}-500$$
|
|
PREP07 Test 1
|
If k is an integer and 2 < k < 8, what is the value of k ?(1) k is a factor of 30(2) k is a factor of 12.
|
|
OG18 OG19 OG20 OG2022
|
If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?
|
|
|
Is |k| = 2 ?(1) $$k^{2}=4$$(2) k = |-2|
|
|
|
Does the integer k have a factor p such that 1 < p < k?(1)k>4!(2)$$13! + 2 \le k \le 13! + 13$$
|
|
PREP07 Test 2
|
If $$k \neq 0, 1, or -1$$, is $$ \frac{1}{k}$$ > 0 ?(1)$$ {1\over{(k-1)}} > 0$$(2)$$ {1\over{(k+1)}} > 0$$
|
|
Ready4
|
If  is a positive integer and  is divisible by 60, then the largest positive integer that must divide is
|
|
190310
|
k is a positive integer. Is k+1 a prime number?
1: k is not a prime number.
2: k is a factor of 30.
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
If n and k are positive integers, is $$\sqrt{n+k} >2\sqrt{n}$$?(1)$$k > 3n$$(2)$$n + k > 3n$$
|
|
Magoosh
|
If k is an integer, is k prime? Statement #1: k has fewer than four factorsStatement #2: 150 ≤ k ≤ 200
|
|
PREP07 Test 2
|
If k is a positive integer and the tens digit of k + 5 is 4, what is the tens digit of k ?(1) k > 35 (2) The units digit of k is greater than 5.
|
|
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
|
If n is a positive integer and $$k = {5.1}*{10}^{n}$$, what is the value of k ?(1)$$6,000 < k < 500,000$$(2)$${k}^{2}={2.601}*{10}^{9}$$
|