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Ready4

The sequence $t_1, t_2, t_3,...,t_n,...$ such that $t_n = \frac{1}{n - 1} - \frac{1}{n}$ for all integers $n > 1$ . If $k$ is a positive integer greater than $1$ , is the sum of the first $k$ terms of the sequence less than $\frac{11}{12}$ ?

(1) $k < 13$

(2) $k > 9$

Ready4

If arc $XYZ$ above is a semicircle, what is the length of diameter $\overline{XZ}$ ?

(1) $m=9$

(2) $n=1$

Ready4

If $x$ and $y$ are positive integers, is $9x < 7y$ ?

(1) $\frac{x}{y} < 0.777$

(2) $\frac{y}{x} > 1.286$

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$P=\{1,3,x,y\}$

$Q=\{2,x,y,8\}$

Two integers will be randomly selected, one from set $P$ and one from set $Q$ . What is the probability that the sum of the two integers will equal $12$ ?

(1) $x+y=10$

(2) $x+2=y$

Ready4

The inside of a rectangular carton is $45$ centimeters long, $30$ centimeters wide, and $10$ centimeters high. The carton is filled to capacity with $m$ identical cylindrical cans of vegetables that stand upright in rows and columns, as indicated in the figure above. If the cans are $10$ centimeters high, what is the value of $m$ ?

(1) Each of the cans has a volume of $62.5\pi$ cubic centimeters.

(2) The area of the base of the rectangular carton is $1{,}350$ square centimeters.

Ready4

In the figure above, what is the value of $a+b$ ?

(1) $b=88$

(2) $\Delta WYZ$ and $\Delta XYZ$ are both isosceles and $\text{m}\angle XYW=15^{\circ}$

Ready4

In the figure above, what is the value of $m+n$ ?

(1) $p=15$

(2) $\Delta ABC$ and $\Delta DBC$ are both isosceles and $q=40$

Ready4

Box	$B1$	$B2$	$B3$	$B4$	$B5$	$B6$
Fraction of the Total Value of Rachel's Order	$\frac{1}{4}$	$\frac{5}{24}$	$\frac{3}{16}$	$\frac{1}{6}$	$\frac{1}{8}$	$\frac{1}{16}$

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 $B1$ , $B2$ , $B3$ , $B4$ , $B5$ , or $B6$ . 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 $\frac{1}{2}$ of the total value of Rachel's order, was box $B4$ delivered on Monday?

(1) $B3$ and $B5$ were delivered on Monday.

(2) $B1$ and $B2$ were delivered on Tuesday.

Ready4

Short Story	$S1$	$S2$	$S3$	$S4$	$S5$	$S6$
Fraction of the Total Reading Assignment	$\frac{1}{3}$	$\frac{1}{4}$	$\frac{1}{6}$	$\frac{1}{9}$	$\frac{1}{12}$	$\frac{1}{18}$

Hannah was given an assignment to read $6$ short stories this week. She does her reading on Wednesday and Thursday. Her teacher labeled the stories $S1$ , $S2$ , $S3$ , $S4$ , $S5$ , and $S6$ . The table shows the percentage of each story as a fraction of the total number of pages of the entire reading assignment. If Hannah read more than $\frac{1}{2}$ of the entire assignment on Wednesday and she always completed a short story in one sitting, did she read $S6$ on Wednesday?

(1) Hannah read $S1$ and $S4$ on Thursday.

(2) Hannah read $S2$ and $S5$ on Wednesday.

Ready4

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.

Ready4

[GMAT-Math-7117-q-GEO]

What is the value of $x+y$ in the figure above?

(1) w = 95

(2) z = 125

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[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) $x=0.5$

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

Ready4

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years 1990 to 2000, inclusive?

Ready4

A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?

I. -3

II. 1

III. 5

Ready4

Each * in the mileage table above represents an entry indicating the distance between a pair of the five cities. If the table were extended to represent the distances between all pairs of 30 cities, and each distance were to be represented by only one entry, how many entries would the table then have?

Ready4

If $O$ is the center of the circle above, what fraction of the circular region is shaded?