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题目内容
Let $$n$$ be a positive integer less than 1,000, and let $$k$$ be the remainder when $$16^n$$ is divided by 100. For how many values of $$n$$ is $$k$$ equal to 96?
Each of trapezoids B and C has two adjacent right angles and bases that are two opposite parallel sides. The distance between the bases of B is the same as the distance between the bases of C. One base of B is twice as long as the other base of B.The shorter base of C is half as long as the shorter base of B, and the longer base of C is twice as long as the longer base of B. What is the ratio of the area of B to the area of C?
How many positive integers lesss than or equal to 770 are neither multiples of 7 nor multiples of 11?
Let S be a list of 5 positive integers. For the integers in S, the average (arithmetic mean) is 6, the median is 4, and the unique mode is 3. What is the greatest possible value of the range of the integers in S?
George invested $1,000 at a simple annual interest rate of 5 percent, earning a total of x dollars in interest for the first two years of the investment. Mary invested $1,000 at an annual interest rate of 5 percent compounded annually, earning a total of y dollars in interest for the first two years of the investment.

Quantity A

y-x

Quantity B

5
k > 2

Quantity A

$$1+\frac{2}{k}+\frac{3}{k^2}$$

Quantity B

3
x > 0 and y < 0

Quantity A

x+y

Quantity B

x-y
r > 0

Quantity A

$$\frac{r}{r^2+1}$$

Quantity B

$$\frac{1}{r}$$
Set H consists of all the positive factors of 90. Set F consists of all the multiples of 5 that are between 1 and 99.

Quantity A

The number of integers in the set H ∩ F

Quantity B

6
k is a positive integer.

Quantity A

The number of prime numbers from k to k+10

Quantity B

The number of prime numbers from k+10 to k+20
The circumferences of the three concentric circles P, Q, and R are 3π, 5π, and 6π, respectively.

Quantity A

The area of the region between P and Q

Quantity B

The area of the region between Q and R

Quantity A

The area of a right triangle with hpotenuse of length c and a leg of length a

Quantity B

The area of a right triangle with hpotenuse of length c and a leg of length 2a
At a local movie theater, a family consisting of 2 adults and 4 children are going to sit in a row of 6 seats such that one person will sit in each seat. One adult will sit at each end of the row, with each child in a seat between the adults. How many different seating arrangements are possible for the family?
Last Tuesday.in the produce section of a grocery store, the price of apples was $3.00 per kilogram, the price of bananas was $1.00 per kilogram and the price of grapes was $4.00 per kilogram. A family purchased 3 kilograms more of apples than kilograms of bananas, and 1 kilogram less of grapes than kilograms of bananas. The family spent a total of $25.80 on apples, bananas and grapes. How many kilograms of bananas did they purchase?

____________kilograms of bananas
Let abc be a three-digit positive integer, where a, b, and c are the digits of the integer. If 81a+9b+c=104, what is the value of the integer abc?
Quadrilateral ABCD is inscribed in a circle. If the measure of angle C is 96 degrees greater than the $$\frac{1}{3}$$ the measure of angle A, in degrees, what is the measure of angle A? (Note:The measure of an angle inscribed in a circle is equal to half the measure of the central angle that subtends the same arc.)
The repeating decimal$$0.\overline{38}$$ is how much greater than the repeating decimal $$0.0\grave{2}$$ (2 being repeated)?

Give your answer as a fraction.


In the quadrilateral shown, the measure of angle B is 135 degrees, and the measures of angles A and C are each 90 degrees. If the length of side AD is 4 and the length of side BC is 1, what is the area of the quadrilateral?
When the positive integer m is divided by 42, the remainder is 13. What is the remainder when m is divided by 6?

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