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Quantity A

The median of the 115 scores

Quantity B

76


If twice the sum of the positive integers x, y, and z is divided by 7, the remainder is 1. What is the remainder if the sum of x, y, and z is divided by 7?
Calvin drives east along a straight road from point A to point B. His speed is never more than 60 miles per hour. Which of the following graphs could represent Calvin's distance from point A as a function of time?

Indicate all such graphs.
On a bookshelf, Pat arranges 7 different books: 2 history books, 3 philosophy books, and 2 science books. If Pat arranges the books so that the history books are next to each other, the science books are next to each other, and the philosophy books are next to each other, how many different arrangements are possible?
$$S={1.2, 0.9, 1.3, 1.5}$$

$$T={1.2x, 0.9x, 1.3x, 1.5x}$$

$$x$$ is a positive number.

Quantity A

The standard deviation of the numbers in set S

Quantity B

The standard deviation of the numbers in set T


If one letter is to be randomly selected from the 7 letters in the word JOHNSON and one letter is to be randomly selected from the 5 letters in the word JONES, what is the probability that the two selections will be the same letter?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

How many distinct solutions does the equation $$|1-|x-215||=1$$ have?
Each copy of Magazine X is sold either at the cover price of $3.25 per copy or at the subscription price of $1.75 per copy. The average (arithmetic mean) price of the copies of Magazine X that were sold last month was $2.25 per copy.

Quantity A

The number of copies of Magazine X that were sold last month at the subscription price

Quantity B

Twice the number of copies of Magazine X that were sold last month at the cover price




In quadrilateral ABCD shown, what is the value of x?

Give your answer to the nearest 0.1.
What is the greatest prime divisor of $$3^{100}$$- $$3^{97}$$?
Which of the following is the graph of $$|x-5| \leq 2$$?

When the integer n is divided by 33, the remainder is 24. Which of the following must be a divisor of n?
$$\frac{51!-50!}{50!-49!}$$=

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