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|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A

M

Quantity B

1


x and y are both integers

2 ≤ x < y ≤ 7,what is the least possible value of $$\frac{x+y}{xy}$$?

Give your answer as a fraction.
x and y are both integers

2 ≤ x < y < 7

What is the maximum value of $$\frac{x+y}{xy}$$?
a and b are positive integers and a < b.

Quantity A

$$\frac{1}{\frac{1}{a}+\frac{1}{15}+\frac{1}{14}+\frac{1}{13}+\frac{1}{12}}$$

Quantity B

$$\frac{1}{\frac{1}{b}+\frac{1}{15}+\frac{1}{14}+\frac{1}{13}+\frac{1}{12}}$$


|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A:M

Quantity B:1
$$x^{-1}$$$$y^{-1}$$>0

Quantity A:$$\frac{x^{-1}}{y^{-1}}$$

Quantity B:$$\frac{x}{y}$$
$$\frac{a+1}{b-1}$$=$$\frac{5}{7}$$

Quantity A

$$\frac{a}{b}$$

Quantity B

$$\frac{1}{2}$$


If k and n are each positive integers between 12 and 30, then $$\frac{5+k}{7+n}$$will be equal to $$\frac{5}{7}$$for how many pairs of (k, n)?
$$\frac{6}{1.8}$$=$$\frac{z}{0.9}$$

Quantity A

z

Quantity B

3.8


$$\frac{2x-3}{x-1}$$=0

Quantity A

x

Quantity B

1


$$\frac{x+3y}{-2}$$ = $$\frac{2x+y}{-3}$$

If x and y are positive integers in the equation shown, what is the least possible value of x+y?
$$\frac{x+3y}{-2}$$= $$\frac{2x+y}{-3}$$

If x and y are positive integers in the equation shown, what is the least possible value of x+y?
N copies of a certain health magazine cost a total of $64.

R copies of a certain news magazine cost a total of $80.

Quantity A

The ratio of the cost of 1 of the health magazines to the cost of 1 of the news magazines

Quantity B

$$\frac{4}{5}$$


Q unit of water is used to irrigate n acres of land. How many acres of land can 1000 units of water irrigate?
A building with an area of x acres can be divided into many lots. The area of each lot is either $$\frac{1}{4}$$ acre or $$\frac{1}{2}$$ acre.

Quantity A

The greatest possible number of lots minus the least possible number of lots

Quantity B

x


The reduced price of a certain television was x percent less than the television's original price. The ratio of the reduced price of the television to the original price was 5 to 6.

Quantity A

x

Quantity B

20


At a certain farm, there are horses, goats, and sheep. The ratio of the number of horses to the number of goats is 4 to 3. The ratio of the number of horses to the number of sheep is 3 to 2. If there are 24 sheep at the farm, how many goats are at the farm?
Container R, S, and T are all water containers. At first, R container is 5/8 full, S is $$\frac{1}{4}$$ full, while container T is empty. When all the water in container R and S are filled into container T, container T will be $$\frac{3}{4}$$ full. What is the volume of T in terms of S and R?
3m pieces of items can be evenly divided either into m+9 groups or 2m-9 groups (m > 4)

Quantity A

$$\frac{3m}{m+9}$$

Quantity B

$$\frac{3m}{2m-9}$$


A box contains a certain number of cards, each of which is labeled by one of the values 4, 8, or 10. The numbers of cards labeled by each value are directly proportional to the values on the cards. What is the least possible number of cards in the box labeled by the value 10?

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