PS-Manhattan：第121-131题 练习册详情

1

If a and b are positive integers and$$ x = 4^{ a} and y = 9^{ b}$$, which of the following is a possible units digit of xy?

• 1
• 4
• 5
• 7
• 8

149人做过此题 平均耗时为1min50s 平均正确率为 47%

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2

When a is divided by b, the quotient is c and the remainder is d. Which of the following expressions is equal to d?

• $$(\frac{a}{b})-c$$
• $$(\frac{a}{b})+c$$
• a-bc
• ab-c
• a(b-c)

139人做过此题 平均耗时为1min4s 平均正确率为 45%

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3

If$$ 9^{2x + 1} = 27^{2}$$, then x =

• $$\frac{1}{2}$$
• $$\frac{3}{4}$$
• 1
• $$\frac{5}{4}$$
• 2

66人做过此题 平均耗时为40s 平均正确率为 92%

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4

Jack pours water into a bucket until the bucket is filled to 60% of its capacity. Jill then fills the bucket to capacity by pouring an additional $$\frac{2}{3}$$ of a gallon of water into the bucket. What is the capacity of the bucket, in gallons?

• $$\frac{4}{3}$$
• $$\frac{5}{3}$$
• 2
• $$\frac{7}{3}$$
• $$\frac{8}{3}$$

61人做过此题 平均耗时为1min19s 平均正确率为 90%

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5

The perimeter of a rectangular yard is completely surrounded by a fence that measures 40 meters. What is the length of the yard if the area of the yard is 64 meters squared?

• 8
• 10
• 12
• 14
• 16

61人做过此题 平均耗时为1min24s 平均正确率为 87%

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6

A recycling facility is staffed by eight floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid q times as much as a floor worker. If the manager's wages account for$$\frac {1}{7} $$of all wages paid at the facility, what is the value of q?

• $$\frac{4}{3}$$
• $$\frac{9}{7}$$
• $$\frac{5}{4}$$
• $$\frac{11}{9}$$
• $$\frac{8}{7}$$

62人做过此题 平均耗时为1min36s 平均正确率为 81%

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7

If $$3^{2n} = (\frac{1}{9})^{n+2}$$, what is the value of n?

• -2
• -1
• 0
• 1
• 2

64人做过此题 平均耗时为39s 平均正确率为 91%

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8

$$\frac{49+49}{49+49^{2}}$$=

• $$\frac{1}{49}$$
• $$\frac{1}{25}$$
• $$\frac{2}{49}$$
• 2
• 49

59人做过此题 平均耗时为32s 平均正确率为 95%

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9

Set A contains three different positive odd integers and two different positive even integers; set B contains two different positive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?

• $$\frac{6}{25}$$
• $$\frac{2}{5}$$
• $$\frac{1}{2}$$
• $$\frac{3}{5}$$
• $$\frac{19}{25}$$

63人做过此题 平均耗时为1min48s 平均正确率为 70%

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10

Each of the following numbers has a remainder of 2 when divided by 11 except:

• 2
• 13
• 24
• 57
• 185

60人做过此题 平均耗时为38s 平均正确率为 87%

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11

If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b?

• 2
• 7
• 9
• 11
• 12

59人做过此题 平均耗时为41s 平均正确率为 95%

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