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Manhattan题集

Manhattan是美国一个类似XDF的教育辅导机构，网上常常直接用于指代它所出版的一系列GMAT复习资料。其备考资料在GMAT备考计划中使用广泛，考生多用来进行强化练习或巩固提升。Manhattan的书籍内容多是以理论与实践相结合的形式进行编写，前半部分主要对各个单项进行理论知识的介绍，后半部分则着重强化练习，并带有详细的题目解析，旨在帮助考生更好的理解文章含义，提升GMAT阅读的做题水平。

81 If 2 < 2x < 26, how many possible solutions for x are prime numbers?
82 Points A (-2, 3) and B (1, 7) lie on the coordinate plane. What is the length of line segment AB?
83 The sum of the mean, the median, and the range of the set {1, 2, 6} equals which one of the following values?
84 A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points that an individual player might have scored?
85 How many integers are there between 51 and 107, inclusive?
86 Let Set T = {2, 4, 5, 7}. Which of the following values, if added to Set T, would most increase the standard deviation of Set T?
87 Line A is drawn on a rectangular coordinate plane. If the coordinate pairs (3, 2) and (-1, -2) lie on line A, which of the following coordinate pairs does NOT lie on a line that is perpendicular to line A?
88 If $8^{x} = 2^{12}$, what is x?
89 If$[[x]] = x^{2} + 2x + 4$, what is the value of [[3]]?
90 If x + y = 7 and x – y = 3, then $x^{2} - y^{2} =$
91 ${1}\over{{3}+\frac{4}{7}}$=
92 A man runs around a circular track two times. The track has a diameter of 12 meters. How many meters does he run?
93 If $4^{x} + 4^{-x} = 2$, which of the following is the value of x?
94 In the right triangle pictured to the right, what is the value of x?
95 A certain square has sides of length x. If the length of each side is doubled, then which of the following represents the area of the resulting square, in terms of x?
96 Which of the following has a value greater than 1?
97 What is the units digit of $(10 ^{4})(4^{ 5})(3^{ 3})?$
98 The longevity of a certain metal construction is determined by the following formula: $l = {(7.5 – x)}^{4} + 8.97^{c}$, where l is the longevity of the construction, in years, x is the density of the underlying material, in $\frac{g}{cm^{3}}$, and c is a positive constant equal to 1.05 for this type of metal constructions. For what value of density, x, expressed in $\frac{g}{cm^{3}}$, will the metal construction have minimal longevity?
99 If $2^{2x – 1} = 8^{y}$ then x in terms of y equals:
100 What is the average of $\frac{1}{8},\frac{3}{8},\frac{1}{2}$ ?

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