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In a poll, 600 people answered either “acceptable" or “not acceptable" to each of two questions; 514 answered "acceptable" to the first question, and 388 answered "acceptable" to the second question.

Quantity A

The number of polled people who answered "acceptable" to the first question and answered "not acceptable" to the second question

Quantity B

213


A shipment of 50 radios contains 2 that are defective. What is the probability that 2 radios picked at random and without replacement from the shipment will both be defective?
What is the units digit of the product $$(11^{10})(12^5)(13^3)(15)$$?


A social scientist conducted two experiments, experiment I and experiment II, in which the values 0, 1, 2, 3. and 4 were observed with the frequencies shown in the table above. Which of the following statistics are the same for the distribution of values observed in experiment I as they are for the distribution of values observed in experiment II?

Indicate all such statistics.
Each of Rachelle' s clients is a resident of one of four cities-$$R, S, T$$, or $$W$$. Of these clients, 20 percent are residents of City $$R$$, 25 percent are residents of City $$S$$, and $$x$$ percent are residents of City $$T$$. Which of the following expressions represent, for all possible values of $$x$$, the number of Rachelle's clients who are residents of City $$W$$ as a fraction of all her clients?

Indicate all such expressions.


In the figure above, $$AB$$, $$CD$$, and EF are circular arcs of radius 2, centered at the vertices of the triangle. What is the sum of the lengths of the three arcs?
$$p=(25)(10^n)+3$$, when $$n$$ is a positive integer.

Quantity A

The remainder when P is divided by 9

Quantity B

4


Let R, S, and T be finite sets. The set R∪S contains $$2$$ more elements than the set R∪T.

Quantity A

The number of elements in S

Quantity B

$$2$$ more than the number of elements in T


Quantity A

AD

Quantity B

BC


$$20!-19!=?$$
The list price of a certain book is $$k$$ dollars. After the list price of the book is discounted by p percent, the resulting price is $$n$$ dollars.

Quantity A

$$k$$

Quantity B

$$n+ \frac{pk}{100}$$


Theo owns $$\frac{1}{3}$$ of the number of pairs of shoes that Samantha owns, and Richard owns twice as many pairs as Samantha. If Richard owns fewer than 30 pairs of shoes, which of the following could be the number of pairs he owns?

Indicate all such numbers.
Sequence $$S$$ is generated by repeating the 11-term sequence 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 5 indefinitely. What is the 1,999th term of sequence $$S$$?


The graph of which of the following functions is shown in the xy-plane?
A scientist conducted an experiment and collected three measurements. Each measurement was an integer. The range of the three measurements was 2 and the least value was 1. Which of the following values could be the average (arithmetic mean) of the measurements collected for the experiment? Indicate all such values.
Printer $$P$$ prints at the constant rate of $$x$$ seconds per page, and printer $$O$$ prints at the constant rate of y seconds per page. If both printers print at their respective rates, then, in terms of x and y, what is the total number of pages the two printers print in 1 hour?
Last month 200 students, including Jim and Joseph, took a certain test. Jim' s score on the test was 96, which was at the 86th percentile of the 200 scores on the test. Joseph' score on the test was 89, which was at the nth percentile of the 200 scores on the test.

Quantity A

$$n$$

Quantity B

$$79$$


If the surface area of a cube is 96, what is its volume?
In a poll, 50 percent of those polled said they would vote for Candidate M, and 80 percent said they were in favor of proposition 3.

Quantity A

The percent of those polled who said they would not vote for Candidate M and were not in favor of proposition 3

Quantity B

$$25%$$


The first and last terms in a certain sequence are -8 and 184, respectively. Each term in the sequence after the first term is 3 greater than the immediately preceding term.

Quantity A

The number of terms in the sequence

Quantity B

$$65$$


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