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X is the set of all integers n that satisfy the inequality 2 ≤ |n| ≤ 5.

Quantity A

The absolute value of the greatest integer in X

Quantity B

The absolute value of the least integer in X


If |3x+2| < 5, then which of the following statements must be true?

Indicate all such statements.

Quantity A

0.05 percent of 4,000

Quantity B

$$\frac{1}{200}$$ of 4,000


Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3


If x > 0, which of the following expressions are equal to 3.6 percent of $$\frac{5x}{12}$$?

Indicate all such expressions.
x is an integer

Quantity A

22 percent of x

Quantity B

$$\frac{2}{9}$$ of x


x and y are integers greater than 5. x is y percent of $$x^{2}$$.

Quantity A

x

Quantity B

10


In a survey of drivers, 36% of male drivers hate driving at night, while 48% of female drivers hate driving at night. As a whole, 45% of all drivers hate driving at night. What is the ratio of male drivers to all the drivers in the survey?

Give your answer as a fraction.
If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fraction of those who do not have brown hair have red hair?
In a private library, biography books account for 5 per cent of all the paperback books, while paperback biography books account for 3 per cent of all the books, then what`s the percentage of paperback books among all the books?

_____%
A manufacturing company has plants in three locations: Indonesia, Mexico, and Pakistan. The company has 6,000 employees, and each of the employees works at only one of the plants. If $$\frac{3}{8}$$ of the employees work at the plant in Indonesia and if twice as many employees work at the plant in Mexico as work at the plant in Pakistan, how many employees work at the plant in Mexico?
A company has a certain number of trucks and limousines. If 60% of limousines have special autopilot system in place, while 24% of all cars are limousines equipped with such special autopilot system, then what is the ratio of the number of limousines to the number of all cars?

Give your answer as a fraction
A family paid 12 percent of its annual after-tax income on food last year. This amount was equal to 10 percent of its annual before-tax income last year. Which of the following is closest to the percent of the family's annual before-tax income that was paid for taxes last year?
In a group of 45 children, 60 percent of the children are boys, and 60 percent of the children are left-handed.

Quantity A

Number of boys who are left-handed

Quantity B

8


The number of chairs is six times as many as desks, the weight of a desk is 9 times higher than a chair. If the total weight of all the desks is 12,000 kg, then what`s the total weight of all the chairs and desks?
In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the people who are currently in line ahead of Shandra purchase tickets and leave the line, and no one else leaves the line, there will be 8 people ahead of Shandra in line. How many people are in the line currently?
Sam, Jan, and Kate all bought the same style of jacket. Jan paid 17 percent more for the jacket than Sam paid, and Kate paid 12 percent more for the jacket than Jan paid. The amount that Kate paid was what percent greater than the amount that Sam paid?

Give your answer to the nearest whole percent.
Tuk weighs 60 percent more than Kim, Lee weighs 50 percent less than Tuk, and Pat weighs 25 percent more than Lee. If Pat weighs 126 pounds, what is Kim`s weight?
Anne pays 150 percent more for a wholesale widget than Bart pays. Anne's retail price per widget is 15 percent greater than the wholesale price she paid. Bart`s retail price per widget is 185 percent greater than the wholesale price he paid.

Quantity A

Anne's retail price

Quantity B

Bart's retail price


Last year Leo bought two paintings. This year he sold them for $2,000 each. On one, he made a 25% profit, and on the other he had a 25% loss. What was his net loss or profit?

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