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Ready4	<p>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 $\frac{11}{12}$ ?p> <p>(1) $k < 13$ p> <p>(2) $k > 9$ p>
190321	In a Cartesian coordinate system, a straight line goes through the point (1,p). Is the slope of this line greater than 0? 1: This line goes through the point (p,13). 2: The line goes through the point (0,1).
PREP07 Test 2	$$R=\frac{24\frac{F}{N}}{P+\frac{A}{12}}$$ A certain bank uses the formula above to approximate the annual percentage rate R of a monthly installment loan. Which of the following is an equivalent form of the formula?
	How many factors does x have, if x is a positive integer?(1) $$x=p^{n}$$, where p is a prime number.(2) $$n^{2}=n+n$$, where x is a positive integer.
PREP07 Test 2	$$-2 < P \le -1$$$$-1 < Q \le 0$$$$0 < R \le 1$$$$1 < S \le 2$$For the inequalities above, what is the maximum possible value of P + Q + R + S ?
PREP07 Test 2	In the xy-plane, point P has coordinates (a, b) and point Q has coordinates (c, d). What is the distance between P and Q ?(1) b - d = 4(2) a - c = 3
OG19-数学分册	A candle company determines that, for a certain specialty candle, the supply function is $$p = m_1x +b_1$$ and the demand function is $$p = m_2x +b_2$$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_1$$, $$m_2$$, $$b_1$$, and $$b_2$$ are constants. At what value of x do the graphs of the supply function and demand function intersect? (1) $$m_1 = -m_2 = 0.005$$ (2) $$b_2 - b_1 = 6$$
	If n is a positive integer greater than 1, then p(n) represents the product of all the prime numbers less than or equal to n. The second smallest prime factor of p(12) + 11 is
Ready4	<p>A box contains $60$ baseball caps. Each cap is either yellow or blue and has a letter from $\text{A}$ to $\text{Z}$ on it. If one cap is to be selected at random from the box, what is the probability that the cap selected will either be yellow or have the letter $\text{D}$ on it?p> <p>(1) The probability the cap will be yellow plus the probability the cap will have the letter $\text{D}$ on it is $0.75$ .p> <p>(2) The probability the cap will both be yellow and have the letter $\text{D}$ on it is $0$ .p>
190113	When positive integer is divided by 4, is the remainder 1? (1)The remainder is 1, when $$p^{2}$$ is divided by 4. (2)The remainder is 1 when P is divided by 2.
Ready4	<p zoompage-fontsize="16">Despite previous failures, the board decided to go ahead with the joint venture because it believed that the merger would prove not only profitable but strategically advantageous.p>
Ready4	<p>The per capita income figure published by the government may not be exact, but it does present a fairly accurate picture. Since a considerable segment of the population falls below the minimum income level for filing income tax, it is hard to keep track of their incomes, and consequently, they are represented statistically as if they had no income. However, one must keep in mind that a large number of the wealthy also have a tendency to understate their income.p> <p>Which of the following is an assumption on which the argument above depends?p>
Ready4	<p>After several years of decreased sales for advertisements on its bus lines, the Arthursville Transportation System (ATS) reorganized its sales force. Before reorganization, its sales force was stratified, with the more experienced sales representatives targeting the most promising opportunities. The reorganization introduced a relationship-based approach by which sales representatives are assigned based on their social proximity to specific buyers. After the reorganization, revenue from advertising sales increased.p> <p>In evaluating whether the increase in advertising sales can reasonably be attributed to the reorganization, it would be most useful to determine which of the following?p>
Ready4	<p zoompage-fontsize="16">Developed over roughly a millennium and containing 24 books, the Masoretic Text, commonly called the Tanakh or Hebrew Bible and is recognized by Rabbinic Judaism as authoritative.p>
Ready4	<p>p> <p>If QR = 10, what is the area of the triangular region PQR above?p> $P S = S R = 5$ $P Q = P R$
Ready4	<p>The Strongbridge Hardwood Company is a major employer in the Strongbridge area. New environmental regulations have recently made it so expensive for companies to log in the area that the Strongbridge Hardwood Company will have to move its operations to another state if it does not receive the financial assistance it has requested from the local government. In order to prevent a dramatic increase in local unemployment, the Strongbridge government is considering granting the company’s request.p> <p>Which of the following would be most important for the Strongbridge company to determine before making the decision?p>
Ready4	<p>Reading more frequently is shown to help increase students’ reading levels. In early September, in order to increase students’ reading levels, Happy Hills Middle School instituted a policy of offering a small gift certificate to the local mall for every ten books a student read. By the end of May, the school had given out five times as many gift certificates as it had students, but students’ average reading levels were slightly lower than those of the classes before them had been at the end of their years.p> <p>Which of the following, if true, best helps to explain the apparent inconsistency in the results of the school’s policy?p>
Ready4	<p class="ng-scope">What is the volume of the cube above?p> <p class="ng-scope">(1) The length of diagonal $MN$ is $4\sqrt{3}$ .p> <p class="ng-scope">(2) The surface area of the cube is 96 square inches.p> <p class="ng-scope"> p>
Ready4	<p>If $m$ , $n$ and $<font color='#FE8080'>p</font>$ are constants, $m < n < <font color='#FE8080'>p</font>$ , and $y^{3} - y$ $= (y + m)(y + n)(y + <font color='#FE8080'>p</font>)$ for all numbers $y$ , what is the value of $n$ ?p>
Ready4	<p class="ng-scope">There were several factors that led to the downfall of the Tughlaq Empire. The Tughlaq empire was a Turkic dynasty of Delhi sultanate, whose reign started in the fourteenth century in Delhi. Around the year 1321, Ghiyas Tughlaq ascended the throne and was given the title Ghiyath al-Din Tughlaq. The Tughlaq dynasty was able to hold its rule because it had their strong allies like the Turks, Afghans and the Muslim warriors of south Asia. The Tughlaqs established the most extensive empire among the Delhi Sultanate. Ghiyas-ud-din Tughlaq took advantage of a previous conquest of the south and annexed a larger part of it. His son, Muhammad Bin Tughlaq, contributed most towards the extension of the Empire both as a prince and a Sultan. But the process of disintegration began during his reign. He became notorious for ill-advised policy experiments such as shifting the capital from Delhi to Daulatabad and introducing copper coins without effective regulation against forgery. Tughluqi has as a result become a synonym for brilliant if stubborn eccentricity in the Urdu language. The annexation of the south, the failures of Muhammad Tughlaq, the weakness of Firoz Shah Tughlaq, the incompetencep><p class="ng-scope"> of his successors, the incompetence and demoralization of the nobility, and the invasion of Timur were the chief factors responsible for the downfall of this vast Empire. p><p class="ng-scope">Ghiyas-ud-din Tughlaq waged a gruesome battle against Khusrao Khan, who killed the last Khilji ruler. His successful defense against the Mongols made him an able ruler and the founder of a dynasty in India. He conquered many areas including the eastern portion of Bengal, a huge territory. In addition, Ghiyas-ud-din Tughlaq adopted the policy of annexing the conquered territories of the south, which was pp><p class="ng-scope"> of his successors, the incompetence and demoralization of the nobility, and the invasion of Timur were the chief factors responsible for the downfall of this vast Empire. p><p class="ng-scope">Ghiyas-ud-din Tughlaq waged a gruesome battle against Khusrao Khan, who killed the last Khilji ruler. His successful defense against the Mongols made him an able ruler and the founder of a dynasty in India. He conquered many areas including the eastern portion of Bengal, a huge territory. In addition, Ghiyas-ud-din Tughlaq adopted the policy of annexing the conquered territories of the south, which was pp><p class="ng-scope">d Tughlaq. But this measure was against the permanent interest of the empire. Because of the lack of efficient transportation, it was difficult for the rulers of the north to keep the south under control for long. Thus the south became independent during the later period of Muhammad Tughlaq. The conquest of the south brought no advantages to the Tughlaqs. On the contrary, it adversely affected the resources and the strength of the Empire. p><p class="ng-scope">One of the most controversial rulers in India, Mohammed bin Tughlaq was the successor of Ghazi Tughlaq. Under his rule, the empire spread and his reign grew. Many theorize that he was a brilliant person who had full command over mathematics and medicine. Yet, he was considered crazy by members of his court. He was known to mete out very cruel and brutal punishment to people who were found guilty of even small offenses. Eventually, Muhammad Tughlaq failed both in his internal and foreign policy. While Bengal and the south regained independence and the hold of the Delhi Sultanate became weak over Gujarat and Sindh, no significant territorp><p class="ng-scope">p><p class="ng-scope">y could be added to the empire permanently. All the schemes of Muhammad Tughlaq failed miserably and brought economic ruin to the empire. In additip><p class="ng-scope">on, his policies and severe measures resulted in widespread revolts and further taxed the energy and resources of the empire.p>