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Ready4

If $n$ is an integer and $m=4(n-1)+3$ , which of the following CANNOT be a divisor of $m$ ?

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If $n$ is an integer and $m=3n+5$ , which of the following CANNOT be a divisor of $m$ ?

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If $x=p$ and $y=2p$ , where $p$ is a prime number greater than 2, how many different positive even divisors does $xy$ have, including $xy$ ?

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On a certain date, Kacper invested $3,000 at $x$ percent simple annual interest and a different amount at $y$ percent simple annual interest. What amount did Kacper invest at $y$ percent simple annual interest?

(1) The amount of interest earned at $y$ percent simple annual interest in one year was $50.

(2) The total amount of interest earned by Kacper's two investments in one year was $200.

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On a certain date, Sashi invested $1,000 at $x$ percent simple annual interest and a different amount at $y$ percent simple annual interest. What amount did Sashi invest at $y$ percent simple annual interest?

(1) Sashi invested $1,000 at 2 percent simple annual interest and the other amount at 3 percent simple interest.

(2) The total amount of interest earned by Sashi's two investments in one year was $100.

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On a certain date, Ronin invested $2,000 at $x$ percent simple annual interest and a different amount at $y$ percent simple annual interest. What amount did Ronin invest at $y$ percent simple annual interest?

(1) Ronin invested $2,000 at 4 percent simple annual interest.

(2) The total amount of interest earned by Ronin's two investments in one year was $200.

Ready4

If $xy\ne0$ , is $\frac{1}{x}+\frac{1}{y}=15$ ?

(1) $y=2x$

(2) $x+y=15xy$

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If $ab \neq 0$ , is $\frac{1}{a}- \frac{1}{b}=10$ ?

(1) $b=2a$

(2) $b-a=10ab$

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If $xy \neq 0$ , is $\frac{1}{x}+\frac{1}{y}=10$ ?

(1) $x+y=10xy$

(2) $x=y$

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What is the value of $\frac{m}{6} + \frac{n}{6} + \frac{p}{6}$ ?

(1) $\frac{m + n + p}{3} = 12$

(2) $m + n = 18$

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What is the value of $\frac{a}{4} - \frac{b}{4}$ ?

(1) $\frac{a - b}{4} = 12$

(2) $a-b=24$

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What is the value of $\frac{x}{3} + \frac{y}{3}$ ?

(1) $\frac{x + y}{3} = 6$

(2) $x+y=18$

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Three carpenters $H$ , $J$ , and $K$ working simultaneously and independently at their respective constant rates, can build a shed in 8 hours. How long does it take Carpenter $H$ , working alone at a constant rate, to build the shed?

(1) Carpenters $H$ and $J$ , working simultaneously and independently at their respective constant rates, can build the shed in 12 hours.

(2) Carpenters $J$ and $K$ , working simultaneously and independently at their respective constant rates, can build the shed in 16 hours.

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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.

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A quantity of substance weighing 2.83 milligrams, rounded to the nearest hundredth of milligram, was sold according to the latest market price per milligram. The sale totaled $18.66, rounded to the nearest cent. The actual price used in this sale, in dollars per milligram, must have been between

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The graph above represents three different types of items sold at Store $Z$ (pants, shirts, and shoes) in month $A$ and month $B$ . In month $A$ , the number of shirts sold is what percentage of all items sold at Store $Z$ at the time?

(1) Store $Z$ only sells pants, shirts, and shoes.

(2) Together, all pants and shoes account for 62% of the items sold at Store $Z$ in month $A$ .

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The graph above represents three different main methods of exercise for members of Gym $X$ (running, lifting weights, or exercise classes) in 2000 and 2010. In 2010, the members who run as their main method of exercising represents what percentage of all members of Gym $X$ at the time?

(1) The total number of members that weight lift as their main exercise decreased by 300 members from 2000 to 2010.

(2) All members of Gym $X$ are represented in the graph for the relevant years.

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$a$	$b$	$c$
$d$	$e$	$f$
$g$	$h$	$i$

Each of the letters in the table above can have a value of 1, 2, or 3. Each row can only have exactly one of each of these numbers, and the same is true for each column. What is the value of $i$ ?

(1) $b+e=3$

(2) $h+f=5$

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$a$	$b$	$c$
$d$	$e$	$f$
$g$	$h$	$i$

Each of the letters in the table above can have a value of 1, 2, or 3. Each row can only have exactly one of each of these numbers, and the same is true for each column. What is the value of $f$ ?

(1) $a+h=2$

(2) $c+d+e=5$

Ready4

The circle graph above represents the total amount of tax money that Town $K$ received in 2016. Town $K$ then allocated its tax money to six different departments: $R$ , $S$ , $T$ , $U$ , $V$ , and $W$ . If the center of the circle graph is $O$ and residents paid a total of $8,600,000 in taxes to Town $K$ in 2016, how much of that money did department $S$ receive?

(1) Department $U$ received $3,010,000, 5% more than double the percentage of Town $K$ 's tax money that Department $S$ received.

(2) $v=32$