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题目内容
n is a positive integer

Quantity A

The remainder when n(n+1)(n+2) is divided by 6

Quantity B

1




0 < x < 1

Quantity A

$$x^{-2}$$

Quantity B

$$x^{2}$$


In the xy-plane, the lines with equations 2x-y=1 and x-y=c, where c is a constant, intersect at point with the coordinates (a, b). What is the greatest possible value of c such that both a ≥ 0 and b ≥ 0?


AD=4(DC)

Quantity A

The ratio of the area of triangle ABD to the area of the triangle ABC

Quantity B

$$\frac{3}{4}$$


Two sides of an isosceles triangle have lengths 5 and 5.

Quantity A

The perimeter of the triangle

Quantity B

15


Quantity A

$$2^{(3^{3})}$$

Quantity B

$$(2^{3})^{(2^{3})}$$


-9, -6, 3, 9

In the sequence above, each term after the first two terms is the absolute value of the difference of the two terms preceding it.

Quantity A

The 26th term of the sequence

Quantity B

0


The dollar value of a certain carving in 1983 was 20 percent greater than its dollar value in 1978. The dollar value of the carving in 1988 was 70 percent greater than its dollar value in 1978.

Quantity A

The percent increase in the dollar value of the carving from 1983 to 1988

Quantity B

50%


The numbers of employees in three regional offices of a company are n, p, and q, respectively. Each employee from each office mailed a card to each employee in the other two offices. Which of the following represents the total number of cards mailed by the employees?
The purchase price of each used book at a certain mail-order bookstore is $$\frac{2}{15}$$ of the original list price of the book. For each used-book order of more than 5 books, the total purchase price of the order is reduced by $2.50 for each book in excess of 5 books. If the total purchase price of an order of 10 books is $23.10, what was the total of the original list prices of the 10 books?
x is an odd integer, and y is a multiple of x. Which of the following must be an even integer?
It cost a certain business a total of $4,050.00 to make and sell 4,500 widgets. If the business sold each of the 4,500 widgets for $2.40, what was the business's profit per widget? (Profit is equal to the selling price minus the cost.)
For how many of the months after March did both the median price of new homes sold and the number of new homes sold increase from the previous month?

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