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In a group of people, 30 people speak French, 40 speak Spanish, and $$\frac{1}{2}$$ of the people who speak Spanish do not speak French. If each person in the group speaks French, Spanish, or both, which of the following statements are true?

Indicate all such statements.
Each of a, b, c, and d is a positive integer less than 10, and the product of a, b, c and d is 945.

Quantity A

The sum of a, b, c and d

Quantity B

24




A dealer's gross profit on the sale of a car is defined as the selling price of the car minus its cost to the dealer. A car dealer sold $$n$$ cars for $$s$$ dollars each. If the dealer's total gross profit was $$p$$ dollars, what was the dealer's average (arithmetic mean) cost per car, in dollars?
If $$x=(96$$,$$538)(701$$,$$865)$$, then $$x$$ is between?
If p≠1, which of the following must be negative?


In a set of cards, each card is colored one of three colors and each card is labeled with one letter as indicated in the table. If one card is to be selected at random from the set, what is the probability that the selected card will be blue or labeled with the letter W?
A certain box is in the shape of a cube. If the total surface area of the box is 384 square feet, what is the total length, in feet, of all the edges of the box?
If k is the sum of three consecutive odd integers x, y, and z, where x < y < z, what is the sum of the three consecutive odd integers that immediately follow z?
A certain device is a rectangular box with dimensions 20 inches by 5 inches by 6 inches. If the device has mass 17 kilograms, then the device's density is approximately how many kilograms per cubic foot? (Density is the ratio of mass to volume, and 1 foot=12 inches.)
A total of $24,000 was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $180 in interest for the month, what is the value of $$r$$?
In a club composed of 30 members, $$\frac{2}{5}$$ of the members are older than 24 years and $$\frac{5}{6}$$ of the members are right-handed.

Quantity A

The number of members in the club who are older than 24 years and right-handed

Quantity B

10






What is the area of the shaded region shown in the xy-plane?
$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$, ......

The sequence of numbers shown is defined by $$a_{1}$$=4, $$a_{2}$$=5, and $$a_{n}$$=2$$a_{n-1}$$+$$a_{n-2}$$ for all integers greater than 2. Which of the following is a number in the sequence?
Three machines, working independently, can make a production lot of widgets in 4, 6, and 8 hours, respectively. If the machines work simultaneously at their respective uniform rates to make a single lot, what fraction of the lot will be made by the fastest machine?
If $$1 \lt r \lt s \lt t \lt 2$$, then, of the following, which is closest to $$r+(s\times10^{6})+(t\times10^{12})$$?
At a certain sale, the price of a jacket was reduced by 5 percent and the price of a pair of slacks was reduced by 20 percent.

Quantity A

The dollar reduction in the price of the jacket

Quantity B

The dollar reduction in the price of the pair of slacks




Quantity A

x

Quantity B

y


The average (arithmetic mean) of 6 measurements is n. When a statistician discards one of the measurements, the average of the remaining measurements is n-2. What is the value of the discarded measurement, in terms of n?
The primary purpose of the passage is to
The passage is primarily concerned with discussing

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