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Ready4	If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?
Ready4	If n is a positive integer and $k + 2 = 3^{n},$ which of the following could NOT be a value of k?
Ready4	If $m$ is a positive integer and $q+4=7^m$ , which of the following could NOT be a value of $q$ ?
Ready4	If $n$ is a positive integer and $x+5=9^n$ , which of the following could be a value of $x$ ?
Ready4	If $10^{61} - 47$ is written as an integer in base 10 notation, what is the sum of the digits in that integer?
Ready4	If $10^{55} - 89$ is written as an integer in base 10 notation, what is the sum of the digits in that integer?
Ready4	The owner of a store bought $n$ books for $x$ dollars each. She gave away $k$ books as part of a promotion and sold the rest for $y$ dollars each. Which of the following represents the profit that the store owner received on the sale of the books?
Ready4	The function f is defined for each positive three-digit integer n by $f(n) = 2^{x}3^{y}5^{z},$ where x, y, and v z are the hundreds, tens, and units digits of n respectively. If m and v are three-digit positive integers such that $f(m) = 9f(v),$ then $m - v =$
Ready4	The function $v$ is defined for each positive three-digit integer $m$ by $v(m) = 2^{a}5^{b}7^{c}$ where $a, b$ and $c$ are the hundreds, tens, and units digits of $m$ respectively. If $s$ and $t$ are three-digit positive integers such that $v (s) = 125\cdot v(t)$ , then what is the value of $s-t$ ?
Ready4	If $4 < \frac{7 - x}{3}$ , which of the following must be true? I. $5 < x$ II. $\|x + 3\| > 2$ III. $-(x + 5)$ is positive
Ready4	If $2 < \frac{5-x}{4}$ , which of the following must be true? I. $-(x+3)$ is positive. II. $\left \| x-2 \right \| < 5$ III. $3 < x$
Ready4	A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to truck sales in 1996?
Ready4	A certain bakery that sells donuts and bagels reported that the revenue from donut sales in 2016 was up 12 percent from 2015 and the revenue from bagel sales in 2016 was down 3 percent from 2015. If total revenues from donut and bagel sales in 2016 were up 2 percent from 2015, what is the ratio of revenues from donut sales to bagel sales in 2015?
Ready4	Kara's math average went down 20% from freshman year to sophomore year. During the same time, her history average went up 8%. If her combined average in the two classes went down 8%, what is the ratio of her history average during her freshman year to her math average during freshman year?
	The average life expectancy for the United States population as a whole is 73.9 years, but children born in Hawaii will live an average of 77 years, and those born in Louisiana, 71.7 years. If a newlywed couple from Louisiana were to begin their family in Hawaii, therefore, their children would be expected to live longer than would be the case if the family remained in Louisiana.Which of the following statements, if true, would most significantly strengthen the conclusion drawn in the passage?
	According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two highway bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority's plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would provide the authority with the strongest counter to the objection that its plan is unfair?
	A cost-effective solution to the problem of airport congestion is to provide high-speed ground transportation between major cities lying 200 to 500 miles apart.The successful implementation of this plan would cost far less than expanding existing airports and would also reduce the number of airplanes clogging both airports and airways.Which of the following, if true, could proponents of the plan above most appropriately cite as a piece of evidence for the soundness of their plan?
	The price the government pays for standard weapons purchased from military contractors is determined by a pricing method called "historical costing". Historical costing allows contractors to protect their profits by adding a percentage increase, based on the current rate of inflation, to the previous year's contractual price.Which of the following statements, if true, is the best basis for a criticism of historical costing as an economically sound pricing method for military contracts?
	Which of the following best completes the passage below?Established companies concentrate on defending what they already have.Consequently, they tend not to be innovative themselves and tend to underestimate the effects of the innovations of others.The clearest example of this defensive strategy is the fact that __________.
	A researcher discovered that people who have low levels of immune-system activity tend to score much lower on tests of mental health than do people with normal or high immune-system activity.The researcher concluded from this experiment that the immune system protects against mental illness as well as against physical disease.The researcher's conclusion depends on which of the following assumptions?