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题目内容
The integer $$t$$ is the product of four different prime numbers. If $$t$$ divided by 35 is a multiple of 11, which of the following could be equal to $$t$$ divided by 5?
$$\frac{n}{390}$$ is a prime number less than 12, and one of the prime factors of $$n$$ is not a prime factor of 390.

Quantity A

$$n$$

Quantity B

$$3,000$$
The integer $$t$$ is the product of four different prime numbers. If $$t$$ is divided by 6 is a multiple of 7, which of the following could be equal to $$t$$ divided by 2?
The integer $$m$$ is the product of four different prime numbers. If the result when $$m$$ is divided by 35 is a multiple of 11, which of the following could be the result when $$m$$ divided by 7?
The integer $$n$$ is the product of four different prime numbers. If $$n$$ divided by 77 is a multiple of 13, which of the following could be equal to $$n$$ divided by 11?
Of the 29 students in a class, 15 students study French, fewer than 16 students study Spanish, and 5 students study neither French nor Spanish. Which of the following could be the number of students in the class who study both French and Spanish?

Indicate all such numbers.
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize?


In the figure shown, a square is inscribed in a circle, which is inscribed in a square.

Quantity A

The total area of the regions shaded black

Quantity B

The total area of the regions shaded gray
In the following figure, quadrilateral BCDE is inscribed in a circle.



The degree measure of angle BCD is twice the degree measure of angle EBC, and the degree measure of angle CDE is twice the degree measure of angle DEB. What is the degree measure of angle EBC?
Everyday Dana attempts to telephone Carla once, and each time she telephones the probability is $$\frac{1}{3}$$ that she will get a busy signal. Whether Dana gets a busy signal on any attempt is independent of whether she gets a busy signal on any other attempt.

Quantity A

The probability that Dana will not get a busy signal in each of 4 different attempts to telephone Carla

Quantity B

$$\frac{1}{4}$$

Quantity A

The number of positive integers less than 50 that are the product of 2 different prime numbers greater than 2

Quantity B

5
On a radio call-in show, the 6th caller and every 6th caller thereafter were given a T-shirt. Also, the 15th caller and every 15th caller thereafter were given movie tickets. A total of 78 people called the show, all at different times. How many of the callers were given neither a T-shirt nor movie tickets?

_____callers
Jessica`s car is one of the 6 cars in an auto repair shop. Only 3 of the 6 cars will be repaired today, and each of the 6 cars is equally likely to be one of the 3 cars that will be repaired.

Quantity A

The probability that Jessica`s car will be repaired today

Quantity B

$$\frac{1}{3}$$
$$0 < x < y$$

$$Rx+y < 0$$

Quantity A

$$x-y$$

Quantity B

$$R$$


In the figure, an equilateral polygon with 12 sides is inscribed in a circle. What is the measure, in degrees, of each of the angles of the polygon?


Each of 50 students took a 40-question quiz, and each student's raw score on the quiz was the number of questions answered correctly. The box plot above summarizes the 50 raw scores. In order to report scores on a scale for which the maximum score is 100, the reported score for each student was 20 more than twice the raw score. What is the interquartile range of the 50 reported scores?
What is the least positive integer $$b$$ such that the equation $$x^2+bx+18=0$$ has two integer solutions for $$x$$?

$$b$$=_____
$$(x^2+4x+3)(x^2-4x+4)=0$$

Quantity A

The number of different values of $$x$$ that satisfy the equation

Quantity B

3

Quantity A

The number of real roots of $$2x- \frac{4}{7}$$=0

Quantity B

The number of real roots of $$2x^2 + \frac{4}{7}$$=0


Points P, R, and S are on the circle with cener O. The measure of angle ROS is 92°.

Quantity A

x

Quantity B

y

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