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Ready4

If $2^x-2^{x-3}=(7)(2^{11})$ , what is the value of $x$ ?

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Is $q$ equal to the median of the three positive integers $q$ , $r$ , and $s$ ?

(1) $q=r$

(2) $q < r+s$

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Which of the following is an integer?

I. $\frac{15!}{9!}$

II. $\frac{15! \cdot 3!}{10!}$

III. $\frac{15!}{10!6!}$

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Which of the following is an integer?

I. $\frac{14!}{8!}$

II. $\frac{14!}{10!}$

III. $\frac{14!}{9! \cdot 6!}$

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What is the ten-thousandths digit of the decimal $k$ ?

(1) The thousandths digit of $10 \cdot k$ is $3$ .

(2) The tenths digit of $1{,}000 \cdot k$ is $3$ .

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What is the tenths digit of the decimal $n$ ?

(1) The tens digit of $1{,}000n$ is $6$ .

(2) The hundredths digit of $100n$ is $6$ .

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What is the thousandths digit of the decimal $p$ ?

(1) The units digit of $100p$ is $8$ .

(2) The hundredths digit of $10p$ is $8$ .

Ready4

Which of the following is an integer?

I. $\frac{10!}{6!}$

II. $\frac{10!}{5!}$

III. $\frac{10!}{5!3!}$

Ready4

Five friends donated a total of $80$ books to a library, and no two friends donated the same number of books. Of the five friends, if Marlon donated the second greatest number of books, did Marlon donate at least $12$ books?

(1) One of the five friends donated $42$ books to the library.

(2) Marlon donated fewer than $15$ books to the library.

Ready4

Lines $g$ and $h$ lie in the $xy$ -plane. Is the slope of line $g$ less than the slope of line $h$ ?

(1) The $y$ -intercept of line $g$ is greater that the $y$ -intercept of line $h$ .

(2) Line $g$ contains the point $(0,0)$ and line $h$ contains the point $(2,0)$ .

Ready4

How many different prime numbers are factors of the positive integer $k$ ?

(1) Three different prime numbers are factors of $5k$ .

(2) Three different prime numbers are factors of $k^2$ .

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Of the students in a certain class, each student is either left-handed or right-handed and each student either has brown eyes or blue eyes. Of these students, $\frac{3}{4}$ are right-handed; and of those who are right-handed, $\frac{2}{3}$ have brown eyes. How many of the students are right-handed and have blue eyes?

(1) 8 students have blue eyes.

(2) 24 students are in the class.

Ready4

Of the people at a certain meeting, each person either works part-time or full-time and each person either drives a car or uses public transportation to get to work. Of these people, $\frac{1}{3}$ work part-time; and of those who work part-time, $\frac{3}{5}$ drive a car to work. How many of the people work part-time and use public transportation to get to work?

(1) 60 of the people drive a car to work.

(2) 45 of the people use public transportation to get to work.

Ready4

Of the people at a certain movie, each person either likes or dislikes horror movies and each person either likes or dislikes romance movies. Of these people, $\tfrac{4}{5}$ dislike horror movies; and of those who dislike horror movies, $\frac{3}{4}$ also dislike romance movies. How many of the people like romance movies but dislike horror movies?

(1) 150 people were at the movie.

(2) 30 of the people like horror movies.

Ready4

A hotel reserved all rooms with either an ocean view or a courtyard view on a certain day. If the cost of each room with an ocean view is $\$150$ and the cost of each room with a courtyard view is $\$100$ , what is the total cost of all rooms with an ocean view and a courtyard view?

(1) The hotel has twice as many rooms with a courtyard view as with an ocean view.

(2) The total cost of the rooms with the ocean view is $\$3{,}000$ more than the total cost of the rooms with a courtyard view.

Ready4

	City $A$	City $B$	City $C$	City $D$	City $E$	City $F$
City $A$		X	X	X	X	X
City $B$	X		X	X	X	X
City $C$	X			X	X	X
City $D$	X				X	X
City $E$	X					X
City $F$	X

Each X in the frequent flyer table above represents an entry indicating the number of frequent flyer miles earned for flying one way between a pair of cities on a particular airline. As part of a promotion, the airline awards an additional 500 frequent flyer miles for all flights originating from City $A$ . If the table were extended to represent the frequent flyer miles for flying between all pairs of 20 cities on the airline and each frequent flyer mile award were to be represented by only one entry, how many entries would the table then have?

Ready4

Each $\text{X}$ in the mileage table above represents an entry indicating the distance between a pair of six towns in a certain county. If the table were extended to represent the distances between all pairs of $36$ towns in the county, and each distance were to be represented by only one entry, how many entries would the table then have?

Ready4

If arc $WXY$ above is a semicircle, what is the length of $\overline{XY}$ ?

(1) $\overline{WY}=17$

(2) $\overline{WX}=15$

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If arc $ABC$ above is a semicircle, what is the length of segment $\overline{AB}$ ?

(1) $\overline{BC}=5$

(2) $\overline{AC}=13$

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Work Order Number	$W1$	$W2$	$W3$	$W4$	$W5$	$W6$
Fraction of Total Job	$\frac{1}{32}$	$\frac{1}{16}$	$\frac{1}{8}$	$\frac{3}{16}$	$\frac{9}{32}$	$\frac{5}{16}$

Lise receives batches of work orders from her supervisor. Her supervisor would like her to complete a total of 6 work orders on Thursday and Friday of this week. The table above shows the fraction each work order represents as a part of the total job. Assume Lise completes an entire work order in one sitting. Each work order is labeled either $W1$ , $W2$ , $W3$ , $W4$ , $W5$ , or $W6$ . If the work orders on Thursday made up more than $\frac{1}{2}$ of the total job, was $W3$ completed on Thursday?

(1) Lise completed $W5$ on Thursday.

(2) Lise completed exactly three work orders on Friday.