分数小数-PS-OG：第51-60题 练习册详情

1

A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?

• 8%
• 15%
• 45%
• 52%
• 56%

8542人做过此题 平均耗时为43min20s 平均正确率为 48%

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2

This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he has available to spend will be equal to half the amount that he spends this year?

• $$\frac{1}{r+2}$$
• $$\frac{1}{2r+2}$$
• $$\frac{1}{3r+2}$$
• $$\frac{1}{r+3}$$
• $$\frac{1}{2r+3}$$

10000人做过此题 平均耗时为9min11s 平均正确率为 57%

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3

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?

• $$\frac{k}{m}\%$$
• (k-m) %
• $$\frac{100(k-m)}{100+k}\%$$
• $$\frac{100(k-m)}{100+m}\%$$
• $$\frac{100(k-m)}{100+k+m}\%$$

10000人做过此题 平均耗时为5min24s 平均正确率为 66%

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4

Four extra-large sandwiches of exactly the same size were ordered for m students, where m>4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?

• $$\frac{m+4}{m(m-4)}$$
• $$\frac{2m-4}{m(m-4)}$$
• $$\frac{4m-4}{m(m-4)}$$
• $$\frac{4m-8}{m(m-4)}$$
• $$\frac{4m-12}{m(m-4)}$$

7764人做过此题 平均耗时为39min28s 平均正确率为 64%

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5

A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage?

• 8%
• 9%
• 11%
• 12.5%
• 14.8%

4555人做过此题 平均耗时为19min57s 平均正确率为 42%

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6

If k is an integer and $$({0.0025})({0.025})({0.00025})\times{10}^{k}$$ is an integer, what is the least possible value of k?

• -12
• -6
• 0
• 6
• 12

6557人做过此题 平均耗时为16min27s 平均正确率为 61%

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7

Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was planted with soybeans and 50 percent of the cleared land was planted with wheat. If the remaining 720 acres of cleared land was planted with corn, how many acres did the farmer own?

• 5,832
• 6,480
• 7,200
• 8,000
• 8,889

4981人做过此题 平均耗时为15min48s 平均正确率为 59%

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8

In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?

• 0.06N + 3,200
• 0.1N + 7,200
• 0.4N + 7,200
• 0.1N + 8,000
• 0.06N + 8,000

9617人做过此题 平均耗时为32min38s 平均正确率为 67%

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9

The parallelogram shown has four sides of equal length. What is the ratio of the length of the shorter diagonal to the length of the longer diagonal?

• $$\frac{1}{2}$$
• $$\frac{1}{\sqrt{2}}$$
• $$\frac{1}{2(\sqrt{2})}$$
• $$\frac{1}{\sqrt{3}}$$
• $$\frac{1}{2(\sqrt{3})}$$

5011人做过此题 平均耗时为11min16s 平均正确率为 67%

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10

At a supermarket John spent $$\frac{1}{2}$$ of his money on fresh fruits and vegetables,$$\frac{1}{3}$$ on meat products, and $$\frac{1}{10}$$ on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

• $60
• $80
• $90
• $120
• $180

9798人做过此题 平均耗时为17min44s 平均正确率为 68%

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