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d is the greatest common divisor of 36 and 60, m is the least common multiple of 36 and 60.

Quantity A

$$\frac{36}{d}$$

Quantity B

$$\frac{m}{60}$$


If a=$$(-\frac{1}{37})^{12}$$, which of the following equals to $$37^{-12}$$?
If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members?
Dr. Mosher call the roll ten days in a row. If Candy attended 8 times, Sam attended 7 times, and Amy attended 6 times. If they show in class simultaneously in only one day, and at least 1 student attend each day`s course, how many days in which exactly two of them attended?
There are 5!, or 120, ways of arranging 5 different solid-colored flags side by side. If the colors of the flags are red, blue, yellow, green, and orange, how many of those arrangements have either the red flag or the blue flag in the middle position?
40 DVDs (17 are about psychology, 14 are about biology, and 9 are about history) need to be arranged in a bookshelf such that the 9 history-related DVDs are, on the whole, arranged in chronological order. How many ways can these DVDs be arranged?

Quantity A

The number of tenth equals to 1.4

Quantity B

The number of hundredth equals to 1.3


All of the 80 science students at a certain school are enrolled in at least one of three science courses: biology, chemistry, and physics. There are 60 students enrolled in physics, 50 students enrolled in chemistry, and 35 students enrolled in biology. None of the students are enrolled in all three courses. Which of the following could be the number of students enrolled in both chemistry and biology?
Indicate all such possible values.
A telephone system has n telephone lines. For each of the n lines, the event that the line will fail during a certain reliability test has probability 0.3, and these n events are independent. If the probability that at least one of the n lines will not fail during the reliability test is greater than 0.99, what is the minimum value of n?
In seven continuous tosses, Event X or Event Y appears randomly each time. If Event X appear first, then the probability that Event X appears the next time is 0.3. If Event Y appears first, then the probability that Event Y appears the next time is 0.4. If Event X appears in the fifth time, then what is the probability that Event X appears in the seventh time?
Give your answer as a decimal.
n > 10,000

Quantity A

The thousands digit of $$\frac{n}{8}$$

Quantity B

7


For each value x in a list of values with mean m, the absolute deviation of x from the mean is defined as |x-m|.

A certain online course is offered once a month at a university. The number of people who register for the course each month is at least 5 and at most 30. For the past 6 months, the mean number of people who registered for the course per month was 20. For the numbers of people who registered for the course monthly for the past 6 months, which of the following values could be the sum of the absolute deviations from the mean?

Indicate all such values.
If x, y and z are consecutive positive integers and if x+y+z is even, how many of the four integers xy, yz, zx, and xyz are even?
X=1!+2!+3!+4!+5!+6!+7!+8!+9!+10!

What is the remainder when X is divided by 20?
Let $$\frac{1}{3}$$+$$\frac{1}{5}$$+$$\frac{1}{7}$$+$$\frac{1}{9}$$+$$\frac{1}{11}$$=$$\frac{m}{(3)(5)(7)(9)(11)}$$, where m is a positive integer. What is the remainder when m is divided by 5?
If a, b, and c are positive integers such that $$\frac{a}{c}$$=0.075, and $$\frac{b}{c}$$=0.09, What is the least possible value of c?
In a certain state, 60 percent of the eligible voters are registered to vote and 48 percent of the eligible voters in that state voted in a recent election. If only registered voters are permitted to vote, what percent of the registered voters in the state voted in the election?
Last year the value of one share of a certain stock increased by 10 percent from January to June, and the value of one share of the stock increased by 50 percent from January to December. What was the percent increase in the value of one share of the stock from June to December of last year?

Give your answer to the nearest whole percent.

_____%
For each of the years 1993 and 1994, the population of City M increased by 20 percent during the year. If the population was 280,000 on December 31, 1994, approximately what was the population on January 1, 1993?
A large pump and a small pump are available to fill a public fountain with 7,500 gallons of water. The pumps can be used alone or simultaneously. Working alone at their respective constant rates, the small pump would take 1.6 times as long as the large pump to fill the fountain. Working simultaneously at their respective constant rates, the two pumps would take 3 hours to fill the fountain. How long would the small pump take to fill the fountain, working alone at its constant rate?

_____hours

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