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OG17 OG18 OG19 OG20 OG2022 A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number ofboxes that remain to be filled?
PREP07 Test 2 $$R=\frac{24\frac{F}{N}}{P+\frac{A}{12}}$$ A certain bank uses the formula above to approximate the annual percentage rate R of a monthly installment loan. Which of the following is an equivalent form of the formula?
OG21 OG2022 m⊕p = n n⊕r =m n⊕q = q p⊕q = p q⊕p = r If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then [(m ⊕ p) ⊕q] ⊕ p =
OG18-数学分册 How many integers n are there such that r < n < s?(1) s- r = 5(2) r and s are not integers.
190113 $$n^{x}p^{y}r^{z}$$ < 100. If n, p, r, x, y, and z are positive integers. Are n, p, and r prime numbers? (1)x+y+z=5 (2)npr=30
PREP07 Test 2 If n is a positive integer and r is the remainder when $$n^2 - 1$$ is divided by 8, what is the value of r ?(1) n is odd.(2) n is not divisible by 8.
OG19-数学分册 How many integers n are there such that r < n < s? (1) $$s - r = 5$$ (2) rand s are not integers.
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If and , which of the following must be true?
PREP07 Test 1 If n is a positive integer and r is the remainder when (n - 1)(n + 1) is divided by 24, what is the value of r ?(1) n is not divisible by 2.(2) n is not divisible by 3.
PREP07 Test 1 If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?(1) n + 1 is divisible by 3.(2) n > 20
PREP07 Test 2 If n is a positive integer and r is the remainder when (n – 1)(n + 1) is divided by 24, what is the value of r?(1) 2 is not a factor of n.(2) 3 is not a factor of n.
PREP07 Test 2 If r is the remainder when the positive integer n is divided by 7, what is the value of r ?(1) When n is divided by 21, the remainder is an odd number.(2) When n is divided by 28, the remainder is 3.
OG12 If r is a constant and $${a}_{n}$$ = rn for all positive integers n, for how many values of n is $${a}_{n} < 100$$ ?(1)$${a}_{50} = 500$$(2)$${a}_{100}+{a}_{105} = 2,050$$
Magoosh When 900 is divided by positive integer F, the remainder is M. For some integer N > 5000, when N is divided by positive integer D, the remainder is R. Is R > F?Statement #1: M = 1Statement #2: D = 23
191031 If 6mn4 is a four-digit integer, then is m+n>10?
(1) 6mn4 can be divisible by 134
(2) 6mn4 = 134k+r, where 0≤r<134, and 47≤k≤52
190215 6,mn4 is a four-digit integer. Is m+n larger than 10? 1: 134 is a factor of 6,mn4. 2: 6,mn4=134p + r (47 ≤ p ≤ 52,0 ≤ r ≤ 134)
190215 n small balls with radius r were put into a cylinder filled with water, and the small balls were completely submerged in the water. The radius of the bottom circle of the cylinder is 4r, and the height of water before and after putting the balls is $$h_1$$ and $$h_2$$. How to express the difference of $$h_2$$ and $$h_1$$ with n and r?
If $1,000 will be deposited in a bank account and I is the dollar amount of interest earned from the original deposit, represented as $${I}={1000\{{({1}+\frac{r}{100})^{n}-{1}}}\}$$, and the annual interest rate is r percent, is $$r > 8$$ percent?(1) The deposit earns a total of $210 in interest in the first 2 years.(2) $$({1}+\frac{r}{100})^{2} >{1.15}$$
PREP07 Test 1 If $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amount of interest, I , earned by the deposit in the first n years is given by the formula $$I = 1000[(1+\frac{r}{100})^n-1]$$, where r percent is the annual interest rate paid by the bank. Is the annual interest rate paid by the bank greater than 8 percent?(1) The deposit earns a total of $210 in interest in the first two years.(2) $$(1+\frac{r}{100})^2>1.15$$
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n,m,p,q,r

An arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of letters shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?

I. 3n,3m,3p,3q,3r II. n−2,m−2,p−2,q−2,r−2 III. n3,m3,p3,q3,r3