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How many of the companies planning to make an acquisition gave the reason that was given by the least number of surveyed companies?
How many of the five reasons given were given by more than 800 of the companies planning to make an acquisition?
The number of companies that have no plan to make an acquisition is approximately what percent greater than the number of companies that plan to make an acquisition within 1 year?
A solid wooden peg is in the shape of a right-circular cylinder that has diameter 6 and height 12 millimeters. Approximately what is the surface area, in square centimeters, of the peg?
The product of the positive integers $$a$$ and $$b$$ is greater than 4 and less than 20.

Quantity A

The product of $$a$$ and $$b$$

Quantity B

The sum of $$a$$ and $$b$$



Square $$ABCD$$ is divided into four triangles as shown.

Quantity A

$$90-x$$

Quantity B

$$y$$



Point $$P$$ and point $$T$$ are the centers of the two circles in the figure. The length of the circular arc $$RST$$ is $$π$$.

Quantity A

The circumference of the circle with center $$T$$

Quantity B

$$6π$$


The least possible value of the variable $$X$$ is -3, and the greatest possible value is 18. If $$Y$$ is a variable related to $$X$$ by the equation $$Y=3X-5$$, what is the range of the possible values of $$Y$$?

In the figure above, what is the value of $$a$$?
The operations $$\oplus$$ and $$\bigotimes$$ are defined for all numbers $$x$$ and $$y$$ by
$$x \oplus y = 2x-y$$ and
$$x \bigotimes y= x+3y$$.
If $$3 \oplus (2z)=z \bigotimes 6$$, what is the value of $$z$$?

For a certain high school, the bar graph above shows the frequency distribution of all the students by grade, and the circle graph above shows the distribution of all the students who study Spanish, also by grade. If the total number of students studying Spanish is equal to the total number of students in grade 10, approximately how many of the students in grade 9 do not study Spanish?
If $$-7 \leq x \leq 5$$ and $$-5 \leq y \leq 3$$, then the maximum value of $$x^2-y^2$$ is
The solutions of the equation $$2y^2+5y=3$$ are $$\frac{1}{2}$$ and $$-3$$. What are the solutions of the equation $$2(x-2)^2+5(x-2)=3$$?
The numbers in a certain list are $$a_1, a_2, a_3, a_4$$ and $$a_5$$, where $$a_n= n((-1)^n-1)$$. What is the difference between the greatest number in the list and the least number in the least?
For each car sold at a certain dealership, the salesperson receives a commission of $$$30$$ plus 20 percent of the amount of profit in excess of $$$300$$ from the sale. If the profit from the sale of a certain car was $$$2,000$$, how much money did the salesperson receive for commission on the sale of this car?
In a distribution of the heights of 50,000 people, the 40$$th$$ percentile is 63 inches and the 64$$th$$ percentile is 69 inches.

Quantity A

The 52$$nd$$ percentile in the distribution

Quantity B

66 inches


$$1+2x \gt -3$$

Quantity A

$$x$$

Quantity B

$$-1.999$$


A 3-foot by 3-foot-square closet floor is to be covered completely using a combination of 1-foot by 1-foot square tiles and 1-foot by 2-foot rectangular tiles.

Quantity A

The number of 1-foot by 1-foot square tiles used

Quantity B

The number of 1-foot by 2-foot rectangular tiles used


At a car dealership, Jason earned a total of $$N$$ dollars in commissions for making 15 sales. If the commission on Jason's last sale had been $$$210$$ greater, his average (arithmetic mean) commission on the 15 sales would have been $$x$$ dollars greater.

Quantity A

$$x$$

Quantity B

$$16$$



Seventy-five boxes of light bulbs were examined during a quality control check. The number of defective light bulbs per box and the corresponding frequency are given in the table.

Quantity A

The average (arithmetic mean) number of defective light bulbs per box for the 75 boxes box

Quantity B

The median number of defective light bulbs per for the 75 boxes


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