PS-Manhattan：第81-100题 练习册详情

1

If 2 < 2x < 26, how many possible solutions for x are prime numbers?

• 4
• 5
• 6
• 7
• 8

217人做过此题 平均耗时为1min5s 平均正确率为 64%

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2

Points A (-2, 3) and B (1, 7) lie on the coordinate plane. What is the length of line segment AB?

• 3
• 4
• 5
• 6
• 7

151人做过此题 平均耗时为52s 平均正确率为 69%

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3

The sum of the mean, the median, and the range of the set {1, 2, 6} equals which one of the following values?

• 2
• 4
• 6
• 8
• 10

155人做过此题 平均耗时为54s 平均正确率为 60%

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4

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?

• 7
• 13
• 16
• 21
• 23

150人做过此题 平均耗时为1min19s 平均正确率为 47%

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5

How many integers are there between 51 and 107, inclusive?

• 51
• 55
• 56
• 57
• 58

150人做过此题 平均耗时为43s 平均正确率为 61%

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6

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?

• 1
• 3
• 6
• 8
• 14

147人做过此题 平均耗时为1min18s 平均正确率为 65%

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7

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?

• (5, 8) and (4, 9)
• (3, -1) and (4, -2)
• (-1, 6) and (-4, 9)
• (2, 5) and (-3, 2)
• (7, 1) and (6, 2)

149人做过此题 平均耗时为2min51s 平均正确率为 89%

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8

If $$8^{x} = 2^{12}$$, what is x?

• 2
• 3
• 4
• 5
• 6

139人做过此题 平均耗时为25s 平均正确率为 58%

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9

If$$ [[x]] = x^{2} + 2x + 4$$, what is the value of [[3]]?

• 3
• 9
• 15
• 19
• 25

134人做过此题 平均耗时为34s 平均正确率为 70%

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10

If x + y = 7 and x – y = 3, then $$x^{2} - y^{2} =$$

• -4
• 4
• 10
• 21
• 40

134人做过此题 平均耗时为23s 平均正确率为 69%

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11

$${1}\over{{3}+\frac{4}{7}}$$=

• $$\frac{1}{25}$$
• $$\frac{1}{12}$$
• $$\frac{7}{25}$$
• 1
• $$\frac{25}{7}$$

136人做过此题 平均耗时为19s 平均正确率为 47%

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12

A man runs around a circular track two times. The track has a diameter of 12 meters. How many meters does he run?

• $$24\pi$$
• $$48\pi$$
• $$72\pi$$
• $$144\pi$$
• $$288\pi$$

139人做过此题 平均耗时为51s 平均正确率为 49%

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13

If $$4^{x} + 4^{-x} = 2$$, which of the following is the value of x?

• -1
• $$-\frac{1}{2}$$
• 0
• $$\frac{1}{2}$$
• 1

142人做过此题 平均耗时为1min14s 平均正确率为 51%

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14

In the right triangle pictured to the right, what is the value of x?

• 1
• $$\sqrt{2}$$
• $$\sqrt{3}$$
• 2
• $$2\sqrt{3}$$

135人做过此题 平均耗时为29s 平均正确率为 63%

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15

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?

• $$x^{2}$$
• $$2x^{2}$$
• 4x
• $$4x^{2}$$
• $$x^{2}+4$$

139人做过此题 平均耗时为53s 平均正确率为 70%

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16

Which of the following has a value greater than 1?

• $$(\frac{1}{3})(\frac{33}{10})$$
• $$(\frac{9}{10})^{\frac{1}{2}}$$
• $$(\frac{9}{10})^{2}$$
• $$(\frac{10}{9})^{-1}$$
• $$\frac{10}{11}$$

134人做过此题 平均耗时为28s 平均正确率为 68%

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17

What is the units digit of $$(10 ^{4})(4^{ 5})(3^{ 3})?$$

• 7
• 5
• 4
• 3
• 0

138人做过此题 平均耗时为1min4s 平均正确率为 44%

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18

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?

• -7.5
• 0
• 7.5
• 15
• 75

139人做过此题 平均耗时为1min48s 平均正确率为 58%

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19

If $$2^{2x – 1} = 8^{y}$$ then x in terms of y equals:

• 2y-1
• $${3y+1}\over{2}$$
• $${y-1}\over{2}$$
• $${y+1}\over{2}$$
• $${3y-1}\over{2}$$

138人做过此题 平均耗时为45s 平均正确率为 46%

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20

What is the average of $$\frac{1}{8},\frac{3}{8},\frac{1}{2}$$ ?

• $$\frac{1}{8}$$
• $$\frac{1}{4}$$
• $$\frac{1}{3}$$
• $$\frac{1}{2}$$
• 1

129人做过此题 平均耗时为28s 平均正确率为 56%

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