If is negative, is positive?

1)

2)

In a survey, each of 6 students indicated the number of years of work experience he or she had obtained prior to graduate school. What was the standard deviation of the number of years of work experience of the 6 students?

1. The average (arithmetic mean) number of years was 6.
2. Each student had obtained the same number of years of experience.

$$n=9.94l6$$ If l denotes the thousandths digit in the decimal representation of n above, what digit is l?

1. If n were rounded to the nearest hundredth, the result would be 9.95.
2. If n were rounded to the nearest thousandth, the result would be 9.946.

If n and m are positive, is $m<9<n$?

1. $m<n$ and $mn=81$.
2. $m^2<81<n^2$

What is the value of integer $f$?

1. $f\left(f+3\right)=10$
2. ${\left(2f\right)}^{2f}=256$

If k, n, and m are positive integers, is $kn$ even?

1. $k=m^3$
2. $n={\left(m-1\right)}^3$

If ^ represents one of the operations $-$, $÷$, and $\times$, is $a^\left(b^c\right)=c^\left(a^b\right)$for all numbers a, b, and c?

1. $a^\left(b+c\right)$ is not equal to $a^b+a^c$ for some values of a, b, and c.
2. ^ represents division or subtraction.

If Runner A followed Runner B down a portion of track that is $\frac{1}{3}$ mile long, how many seconds did it take Runner A to run the track?

1. Runner A ran onto the track 10 seconds after Runner B ran onto the track and ran off the track 8 seconds after Runner B ran off the track.
2. Runner B ran the track at a constant speed of 9 miles per hour.

If n is an integer such that $107<n<117$, what is the value of n?

1. If n − 1 were divided by 2, the remainder would be 0.
2. If n were divided by 3, the remainder would be 0.

If Susan's age is three times Tony's age, what is Susan's age?

1. Two years ago, Susan's age was exactly 5 times Tony's age.
2. Twelve years from now, Susan's age will be exactly 50% greater than Tony's age.

Each block from bin A is 4 inches tall, while each block from bin B is 5 inches tall. If 12 blocks are stacked on each other, including a blocks from bin A and b blocks from bin B, into a single column, is $a>b$?

1. $b>5$
2. The height of the column is less than 56 inches.

Maria has $2.45 consisting of coins each worth either $0.05 or $0.25. How many coins worth $0.05 does Maria have?

1. Maria has fewer than 8 coins worth $0.05 each.
2. Maria has more than 8 coins worth $0.25 each.

Late fees for the return of a rental item past its deadline are equal to the regular hourly rental rate multiplied by the number of hours past the return deadline, counting only the hours between 9:00 am and 5:00 pm when the shop is open. The rental item does not accrue late fees outside of those hours, though it can be returned to a drop box. If the shop opens 7 days per week, what were the late fees for an item returned late?

1. The regular hourly rental rate is $12.
2. The item was 54 hours late.

Machines ${\text{M}}_1$ and ${\text{M}}_2$ purify air at different constant rates. Machine ${\text{M}}_1$, operating alone for 5 hours, purified the air within part of one floor of a building; then Machine ${\text{M}}_2$, operating alone for 4 hours, purified the air within the rest of the floor. How many hours would it have taken Machine ${\text{M}}_1$ operating alone to purify the air in the entire floor?

1. ${\text{M}}_2$ purified one cubic foot of air per minute.
2. ${\text{M}}_1$ purified fifty percent more air in 5 hours than ${\text{M}}_2$ purified in 4 hours.

If k is a positive integer, what is the hundreds digit of k?

1. The thousands digit of 10k is 7.
2. The hundreds digit of k+1 is 7.

In the figure above, if $PQ=x$, is the area of triangle PQR equal to the area of PST?

1. $PT=\sqrt{2}\left(PR\right)$
2. The triangle PST is isosceles.

At a store, a is the range of the prices of the items in Group A, and b is the range of the prices of the items in Group B. If each of the items in Group A is also in Group B, is b greater than a?

1. Group A contains 21 items.
2. Group B contains 22 items.

A regional shipping facility has received a cars, each of which must be distributed to one of b dealerships in the region. If $3<b<7$ and $a>7$, is it possible to distribute the a cars to the b dealerships such that each dealership receives the same number of cars?

1. It would be possible to distribute 3a cars that each dealership receives the same number of cars.
2. It would be possible to distribute 7a cars that each dealership receives the same number of cars.

If AB is a diameter of the circle above, what is the area of the circle?

1. $BD=3$
2. $AC=\frac{2\sqrt{3}}{3}BD$

At a given school, the number of students enrolled in neither an accounting nor a finance course is how much greater than the number of students enrolled in both?

1. There are 250 students enrolled in an accounting course.
2. There are 280 students enrolled in a finance course.