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Ready4

What is the final digit of positive integer n?

n divided by 10 has a remainder of 1.
n divided by 11 has a remainder of 1.

Ready4

The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn. How many times were even numbers drawn?

The player drew 12 cards.
The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.

Ready4

If x is a positive integer, is the value of $y - z$ at most twice the value of $3^{x} - 5^{x}$ ?

$y = 3^{x + 1}$ and $z = 5^{x + 1}$
$x = 5$

Ready4

The profits of a new company were x percent higher in the second year than the first year and y percent lower in the third year than the second year. Were the profits higher in the third year than the first year?

$1 - x < 1 - y$
$\frac{x y}{100} < x - y$

Ready4

At a company's awards ceremony, $\frac{3}{5}$ of the attendees were company employees and the remaining attendees were staff hired for the event. If $\frac{1}{5}$ of the employees were managers, what was the number of employees who were not managers?

There were 125 attendees.
There were 50 staff hired for the event.

Ready4

In a lecture hall, what is the ratio of the number of women to the number of men?

(1) There are twice as many women as men in the lecture hall.

(2) The number of men is $\tfrac{1}{3}$ of the number of men and women in the lecture hall.

Ready4

In each of two rows, a series of statues is ordered by height. On the bottom row, the shortest statue is 14.1 centimeters tall. On the top row, the tallest statue is 14.01 centimeters tall. What is the median height out of all the statues in both rows?

There are 14 statues in the lower row.
There are 15 statues in the upper row.

Ready4

If e, f, g, and h are positive numbers, and $f \neq h$ , is $\frac{e}{f} < \frac{g}{h}$ ?

$\frac{e - g}{h - f}$ is negative.
$f g {(\frac{e h}{f g})}^{2} < e h$

Ready4

What is the value of $| w |$ ?

$w^{2} = 16$
$w = - | w |$

Ready4

Each week Paige deposits $100 plus 10 percent of her weekly earnings over $1,000 into a savings account. What is the total amount Paige saved last week?

The total amount Paige saved last week was equal to 10 percent of the amount she earned last week.
Paige's earnings last week totaled $2,000.

Ready4

How many integers are there between integers i and k, inclusive?

$k - i = 22$
There are 21 integers between, but not including, $i + 1$ and $k + 1$ .

Ready4

Pete has taken 10 tests for a particular class. If his lowest score is 80, is the average (arithmetic mean) score of the 10 tests greater than 90?

(1) The average (arithmetic mean) of his seven highest test scores is 95.

(2) The average (arithmetic mean) of his four lowest test scores is 85.

Ready4

Penelope has coins worth either $0.10 or $0.50. If she has more than five $0.50 coins, how many coins does she have?

Penelope has fewer than 10 coins worth $0.10 each.
The total value of Penelope's coins is $4.70.

Ready4

If the tick marks shown on the line above are equally spaced, what is the value of m?

$k = \frac{13}{11}$
$\frac{(k + m)}{3} + \frac{1}{33} = 1$

Ready4

What is the cube root of z?

The 5th root of z is 243.
The 25th root of z is 3.

Ready4

Last year, if a company spent a total of $1,200,000 on marketing, salaries, and administrative costs, how much did it spend on salaries?

Last year, the total amount that the company spent on salaries and administrative costs was 50 percent of the amount that it spent on marketing.
Last year, the amount that the company spent on salaries was 25 percent of the total amount it spent on marketing and administrative costs.

Ready4

Pat invested $4,000 at a percent simple annual interest and a different amount at p percent simple annual interest for the same period of time. What amount did Pat invest at p percent simple annual interest?

The total amount of interest earned by Pat's investments in one year was $400.
Pat invested the $4,000 at 4 percent simple annual interest.

Ready4

If m is an integer, is m odd?

$1 + m^{2}$ is an odd integer.
$5 m - 2$ is an even integer.

Ready4

	City A	City B	City C	City D	City E	City F
City A
City B
City C
City D
City E
City F

In the table above, each entry will represent the frequent flyer miles awarded for flying one way between a pair of cities. As part of a promotion, the airline is awarding an additional 1000 frequent flyer miles for those flights that originate in City E. What is the least number of table entries that are needed to show the frequent flyer points awarded for flying between each city and each of the other five cities?

Ready4

Three programmers $N$ , $P$ , and $Q$ working simultaneously and independently at their respective constant rates, can write 10,000 lines of code in 3 hours. How long does it take Programmer $N$ , working alone at a constant rate, to write all lines of the code?

(1) Programmers $N$ and $P$ , working simultaneously and independently at their respective constant rates, can write all lines of the code in 4 hours.

(2) Programmers $N$ and $Q$ , working simultaneously and independently at their respective constant rates, can write all lines of the code in 6 hours.