In the figure above, what is the value of ?

(1)

(2) and are both isosceles and

Box
Fraction of the Total Value of Rachel's Order

Rachel submitted an order for several items from a popular online retail site. Her items were packaged in 6 separate boxes and were delivered on Monday and Tuesday of this past week. Each box was labeled , , , , , or . The table shows the value of each box as a fraction of the total value of Rachel's order. If the delivery on Monday had a value greater than of the total value of Rachel's order, was box delivered on Monday?

(1) and were delivered on Monday.

(2) and were delivered on Tuesday.

A conveyor belt moves bottles at a constant speed of 120 centimeters per second. If the conveyor belt moves a bottle from a loading dock to an unloading dock, is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)

(1) It takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock.

(2) It takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.

What is the value of in the figure above?

(1) w = 95

(2) z = 125

[GMAT-Math-7128-q]

A circular tub has a band painted around its circumference, as shown above. What is the surface area of the painted band?

(1)

(2) The height of the tub is 1 meter.

[GMAT-Math-7224-q]

The length of arc is on the circle above with center . What is the circumference of the circle?

Is $3^m$ less than 2,000?

1. $3^{m+\mathrm{<font\; color="\#FE8080">1</font>}}>2,000$
2. $3^{m-\mathrm{<font\; color="\#FE8080">1</font>}}=3^m-486$

113, 105, 121, n, m

What is the value of n in the list above?

1. $m<n$
2. The median of the numbers in the list is 109.

If by agreement a service department must reply to any customer inquiry within 84 hours, does the last moment by which it must respond to a particular inquiry occur on a Friday?

1. The inquiry was placed on a Tuesday.
2. The inquiry was made between 2:00 p.m. and 4:00 pm.

            $\{\begin{array}{c}6a-5=c\\ 7b-a=9\\ 8-c=d\end{array}$

For the system of equations given, what is the value of c?

1. $a=8$
2. $d=6$

If n and m are integers, is nm odd?

1. $n+\mathrm{<font\; color="\#FE8080">1</font>}=m$
2. $\frac{m}{n}$ is an even integer.

The people in a room are lined up from youngest to oldest. The age of the first person is 15, and the each person thereafter is two years older than the previous person. What is the sum of ages?

1. The number of people in the room is 37.
2. The age of the last person is 87.

A box contains only pens, pencils, and pads. If an item is randomly selected from the box, what is the probability that the item will be either a pencil or a pad?

1. The probability that the item will be a pad is $\frac{\mathrm{<font\; color="\#FE8080">1</font>}}{4}$.
2. The probability that the item will be a pen is $\frac{\mathrm{<font\; color="\#FE8080">1</font>}}{3}$.

For a charity, m people each pledged to run 25 kilometers in a fundraising race. Each of these people convinced another m friends to pledge to run 25 kilometers. What is the value of m?

1. The initial set of m people pledged a total of $\frac{\mathrm{<font\; color="\#FE8080">1</font>}}{25}$ of the final number pledged by themselves and their friends.
2. The total number of kilometers pledged was 15,000.

Is $3x+y=333$?

1. $x-y=33$
2. $\frac{y}{x}=\frac{\mathrm{<font\; color="\#FE8080">1</font>}}{3}$

The cost of an item offered by Company A increased by 15 percent while the cost of that item offered by Company B decreased by 15 percent. The reduced price of Company B's item was what percent of the original price of Company A's item?

1. The increased price of Company A's item was equal to the original price of Company B's item.
2. The amount of increase in the price of Company A's item was $\frac{\mathrm{<font\; color="\#FE8080">1</font>}}{1.15}$ the amount of decrease in the price of Company B's item.

Out of 120 people surveyed, how many own an automobile?

1. In the survey, the number of people who do not own an automobile is 2 times the number who do own an automobile.
2. In the survey, the number of people who do not own an automobile is 40 more than the number who do own an automobile.

A metal sheet measuring 18 inches by 30 inches is covered as completely as possible with non-overlapping perfectly circular cookies of identical area in n rows of m cookies. What is the value of nm?

1. Each of the cookies has a radius of 3 inches.
2. Five cookies in a row fit exactly within the longer dimension of the sheet.

What is the value of $b+d$ in the figure above?

1. $a=35$
2. $c=95$

If  and  are positive, is  ?

(1) 

(2)