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When testing a series of bottles of water, chemical A is found in 52% of all bottles, chemical B is found in 18% of all bottles, while chemical A and B are found in 10% of all bottles.

Quantity A

The proportion of bottles that contain neither chemical A nor chemical B

Quantity B

34%


At a certain dealership, $$\frac{2}{5}$$ of the trucks have four-wheel drive, and $$\frac{1}{3}$$ of the vehicles that have four-wheel drive are trucks. Of the vehicles that are trucks or have four-wheel drive, what fraction are trucks that have four-wheel drive?

Give your answer as a fraction.
There are 30 students in the class. 17 of them join the music club, and 15 of them join the science club. If everyone must join at least one club, then what`s the number of students who join both clubs?
If 2/3 of employees are working on project A, and 1/5 of the rest of the employees are working on project B. What is the ratio of employees who neither work on project A nor work on project B?

Give your answer as a fraction.
The 50 students in an art class were given an assignment to visit two museums, A and B. During the week after the assignment was given, 25 of the students visited Museum A and 10 of those 25 students also visited Museum B.

Which of the following statements individually provide(s) sufficient additional information to determine how many of the students visited Museum B during that week?

Indicate all such statements.
In a certain class,40% take A,40% take B,20% take A and B,what percent of students take neither A nor B?
Give your answer as a percent.
______%
There are 80 students in a class. 40 of them choose biology, and 30 of them choose chemistry. Which of the following can independently identify the number of students who choose both biology and chemistry?
Indicate all such statements.
There are 50 students in a class, who choose A and B, two places for the weekend. 25 of them choose A and 10 of these 25 also choose B. Which of the following options can independently identity the number of students who choose B?
Indicate all such statements.
Of the 1,000 people, there are 300 people who are 40 years old or older, and 320 women who are younger than 40 years old. What is the number of men younger than 40 years old?
In a sample of $$n$$ people, 80 percent of the people filled out a questionnaire. If 65 percent of those who filled out the questionnaire are college graduates, what is the greatest possible percent of college graduates in the sample of $$n$$ people?
Thirty percent of the members of Club A are also members of Club B. Forty percent of the members of Club B are also members of Club A.

Quantity A

The total number of members of Club A

Quantity B

The total number of members of Club B


The candies in a candy shop can be divided into unscented and scented, and they can also be divided into blue and green. There are 1000 unscented candies and 1000 blue candies. 25% of blue candies and 50% of green candies are scented. When the candies which are neither scented blue nor scented green are sold out, how many candies are there still in the shop?
There are 120 students in the class. 3/5 of them attend match class, and 1/2 of them attend English class. Which of the following could be the number of students who only attend match class? Indicate all such measures.
In a group of 150 people, 40 percent are older than 60 years and 80 percent are employed.Which of the following could be the number of people who are both employed and older than 60 years?
Indicate all such numbers.
What percent of non-negative integers less than 2000 is perfect square?

Give your answer to the nearest hundredths of a percent.

_____%

Quantity A

$$\sqrt[3]{270}$$ - $$\sqrt[3]{10}$$

Quantity B

$$\sqrt[3]{80}$$


A group of adults and children spent a total of $420 for tickets and food at the circus. Tickets to the circus cost $20 per adult and $10 per child. If the group spent an average of $21 per person for tickets and food, and there were the same number of adults as children in the group,what was the total amount that the group spent on food at the circus?
3x+y=12

x+$$\frac{y}{3}$$=4

Quantity A

x

Quantity B

y


A certain number of balls can be equally divided into x boxes. If these balls can be equally divided into (x-3) boxes with 12 balls in each box and there will still be 5 balls outside. What is the value of x?
x * y=2

x + y=3

Quantity A

(y-2)(y-1)

Quantity B

0


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