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3x+y = 12

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

Quantity A

x

Quantity B

y




The weights of the individual boxes in a shipment are listed in the table above, along with the numbers of boxes for three of the weights. The average (arithmetic mean) weight of the boxes weighing 5 or 10 kilograms was 7.5 kilograms. The average weight of the boxes weighing 20 or 40 kilograms was 35 kilograms. What was the total number of boxes that were shipped?
For each of the three years 2018, 2019, and 2020, the value of a car at the end of the year was x percent less than its value at the end of the preceding year. If the value of the car was $20,000 at the end of 2017 and $18,400 at the end of 2018, which of the following is closest to the percent decrease in the value of the car from the end of 2018 to the end of 2020?
If $$\frac{x-1}{4}$$ is an integer, which of the following numbers must also be an integer?

Indicate all such numbers.
A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.
The median of the numbers in a list of consecutive positive multiples of 1.2 is 25.8. What is the greatest possible number in the list?
The integer m is the product of four different prime numbers. If the result when m is divided by 35 is a multiple of 3, which of the following could be the result when m divided by 5?
The difference of two positive integers is 2, while the difference of their squares is 100.

Quantity A

The sum of the integers

Quantity B

50


Triangle ABC is equilateral. Vertices P, Q and R of triangle PQR lie on sides AB, AC, and BC, respectively.

Quantity A

The sum of the measures of two of the interior angles of triangle ABC

Quantity B

The sum of the measures of two of the interior angles of triangle PQR


p, q, r, and s are different positive prime numbers.

Quantity A

The greatest common factor of $$p^{2}qr$$ and $$qr^{2}s$$

Quantity B

qr


If a < b, which of the following must be true?
The probability that each toss of a certain coin will result in heads is $$0.5$$. If the probability that $$n$$ tosses of the coin will each result in heads is greater than $$0.0002$$, what is the greatest possible value of $$n$$?
Experiments with animal behavior have sometimes been handicapped by scientists' ____________ approach: the animals are tested in ways that work fine with humans but not so well with other species.
Modern monetary systems are built on nothing more than governments' support of and people's faith in them; money is, in other words, a complete ____________.
Many of the major developments in fundamental physics of the past century arose from (i)____________ existing ideas. For example, the (ii)____________ Maxwell's equations and Galilean invariance led Einstein to propose the special theory of relativity. Similarly, the failure to reconcile special relativity with Newtonian gravity led him to develop the general theory of relativity.
The (i)____________ of Polish immigration to Brazil are easy to (ii)____________, since at the time of the first Polish arrivals, in the nineteenth century, Poland was partitioned, which resulted in many ethnic Poles carrying German, Russian, or Prussian passports.
The author argued that a relentless focus on political scandal was making it hard for even the least ____________ politicians to maintain their faith in the nobility of public service.
In her new book, Alexander relates some amazing biological facts about the elephant-an elephant's heart can weigh 28.5 pounds, for example - but what really makes these behemoths remarkable is their continued survival despite more than a century of human ____________.
The fact that no single Cantonese dictionary is seen as ____________ is one of the main reasons why most Hong Kong authors do not depend on formal reference tools when writing in Cantonese.

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