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Quantity A

The remainder when $$35^{12}+63^{17}$$ is divided by 14

Quantity B

3


In the survey of employees shown, none cited all three reasons for leaving, but 15 percent cited two of the three reasons. What percent of the employees surveyed cited none of the three reasons in the table?
In noting that critical and popular opinions about Li`s art coincided, Chuang _____ the existence of an exception to her general theory of art criticism, which posits that critics` views do not intersect with those of the general public.
a < b < c < d < e

List S: a, b, c, d, e

List T: a-2, b-1, c, d+1, e+2

Quantity A

The standard deviation of the numbers in list S

Quantity B

The standard deviation of the numbers in list T


□, △, ▽, and ⬠ each represent a different digit from 1 to 9.

Quantity A

▽

Quantity B

2
If 30 percent of the presidents and 80 percent of the vice presidents are serving their first terms, what is the least possible number of the organizations that have both their president and corresponding vice president serving their first term?
One of the vice presidents will be chosen at random. What is the probability that the vice president chosen will be one whose age is greater than 63 years given that the age of the corresponding president is less than 53 years?

Give your answer to the nearest 0.01.
In a list of 350 different positive integers, 70 percent of the integers are less than 500, and the least integer is x.

Quantity A

The greatest possible value of x

Quantity B

255


Each of the thirteen marked points is either the center of one of the six circles or a point shared by two tangent circles. Each circle has a radius of r inches, and the rectangular region ABCD has a perimeter of x inches and an area of x square inches. What is the value of r?
In a group of 13 students, 9 are English majors and 9 are physics minors. Which of the following could be the number of students in the group who are both English majors and physics minors?
In an art history class, 70 percent of the students submitted their assignments on time, and of those who did not, 40 percent submitted their assignments one day late.

Quantity A

The percent of the class who neither submitted their assignments on time nor submitted them one day late

Quantity B

18%
Of 50 people surveyed, 32 people reported that they own a dog and the rest reported that they do not own a dog. Of the same group of people surveyed, 19 people reported that they own a cat and the rest reported that they do not own a cat. If 14 of the people who reported they own a dog also reported they own a cat, how many of the people surveyed reported that they do not own either a dog or a cat?
Each of five data sets consists of 10 values, all of which are integers. The distributions of the values in the five data sets are shown. The values in which distribution have the greatest standard deviation?
The sequence shown is defined by $$Q_1=6$$ and $$Q_{n+1}=\frac{1}{3}Q_n$$, for each positive integer n.

$$Q_1, Q_2, Q_3, ......, Q_n,.....$$

Quantity A

$$Q_{11}$$

Quantity B

$$(3^{17})Q_{28}$$
What fraction is equivalent to the repeating decimal $$0.0\dot{1}$$?
Which of the following is closest to the range of the monthly ice-cream consumption per person, in pints, for the 27 months?
Of the 27 data points, P is the point for which the ratio of the monthly ice-cream consumption per person, in pints, to the average temperature,in degrees Fahrenheit,is greatest. Which of the following is closest to the average temperature that corresponds to P?
If one item is to be randomly selected from the items whose manufacturing cost is greater than $140, what is the probability that the item selected will be one whose manufacturing time is greater than 60 minutes?
For each item, a manager calculates the ratio of the manufacturing cost to the manufacturing time. Which of the following is closest to the value of the greatest of these eleven ratios, in dollars per minute?
The manufacturing cost of the item that takes the most time to manufacture is approximately what percent greater than the cost of the item that takes the least time to manufacture?

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