Critical Reasoning Practice for EMBA Entrance Exam Part 1

 Critical Reasoning

Critical reasoning questions are designed to test the reasoning skills involved in (1) making arguments, (2) evaluating arguments, and (3) formulating or evaluating a plan of action. In these questions, you are to analyze the situation on which each question is based, and then select the answer choice that most appropriately answers the question. Begin by reading the passages carefully, then reading the five answer choices. If the correct answer is not immediately obvious to you, see whether you can eliminate some of the wrong answers. Reading the passage a second time may be helpful in illuminating subtleties that were not immediately evident. A few sample critical reasoning questions from Dhaka university Evening MBA admission test are given below: Critical Reasoning & Logical Sequence: 01. Even though most universities retain the royalties from faculty members' inventions, the faculty members retain the royalties from books and articles they write. Therefore, faculty members should retain the royalties from the educational computer software they develop. The conclusion above would be more reasonably drawn if which of the following were inserted into the argument as an additional premise? (A) Royalties from inventions are higher than royalties from educational software programs. (B) Faculty members are more likely to produce educational software programs than inventions. (C) Inventions bring more prestige to universities than do books and articles. (D) In the experience of most universities, educational software programs are more marketable than are books and articles. (E) In terms of the criteria used to award royalties, educational software programs are more nearly comparable to books and articles than to inventions. Questions numbering 2 and 3 are based on the following statement: "If there is an oil-supply disruption resulting in higher international oil prices, domestic oil prices in open-market countries will rise as well, whether such countries import all or none of their oil." 02. If the statement above concerning oil-supply disruptions is true, which of the following policies in an open-market nation is most likely to reduce the long-term economic impact on that nation of sharp and unexpected increases in international oil prices? (A) Maintaining the quantity of oil imported at constant yearly levels (B) Increasing the number of oil tankers in its fleet (C) Suspending diplomatic relations with major oil-producing nations (D) Decreasing oil consumption through conservation (E) Decreasing domestic production of oil 03. Which of the following conclusions is best supported by the statement above? (A) Domestic producers of oil in open-market countries are excluded from the international oil market when there is a disruption in the international oil supply. (B) International oil-supply disruptions have little.if any, effect on the price of domestic oil as long as an open-market country has domestic supplies capable of meeting domestic demand. (C) The oil market in an open-market country is actually part of the international oil market. even if most of that country's domestic oil is usually sold to consumers within its borders. (D) Open-market countries that export little or none of their oil can maintain stable domestic oil prices even when international oil prices rise sharply. (E) If international oil prices rise.domestic distributors of oil in open-market countries will begin to import more oil than they export 04. In a study of job applicants, two-fifths admitted to being at least a little dishonest. However, the study may underestimate the proportion of job applicants who are dishonest, because____. A. some dishonest people taking the survey might have claimed on the survey to be honest B. some generally honest people taking the survey might have claimed on the survey to be dishonest C. some people who claimed on the survey to be at least a little dishonest may be very dishonest D. some people who claimed on the survey to be dishonest may have been answering honestly E. some people who are not job applicants are probably at least a little dishonest 05. People should be held accountable for their own behavior, and if holding people accountable for their own behavior entails capital punishment, then so be it. However, no person should be held accountable for behavior over which he or she had no control. Which of the following is the most logical conclusion of the argument above? A) People should not be held accountable for the behavior of other people. B) People have control over their own behavior. c) People cannot control the behavior of other people. D) Behavior that cannot be controlled should not be punished. E) People have control over behavior that is subject to capital punishment (critical one! correct answer could be B or E), I searched in different forum, result is confusing. I think E most correct. 06. The income distribution of the richest and poorest 20% of the world shows that it was 32 to 1 in 1970, 45 to 1 in 1980, 61 to 1 in 1990 and 70 to 1 in 2000. This means that     A. income of both rich and poor increases.     B. population of poor section increases more than of the rich section.     C. rich people exploit poor people     D. inequality increases     E. global development takes place 07. The quantitative supply of labor (as well as its qualitative composition) depends on the following variables: the size of the population, its age-sex composition, marital structure and participation rates in the labor force in accordance with these factors. Each of the following, if true, could affect the supply of labor EXCEPT: A. Marital status of females B. Birth and death rates C. Number of employment agencies D. Immigration and emigration E. Educational level of population 08. It takes one girl 4 days to embroider one shirt and she is paid Tk. 50 per shirt. It takes two girls to embroider one saree in 56 days and they are paid Tk. 1,000 per saree shared equally. We can calculate that: A. One girl can earn more embroidering one shirt after another than working on a saree continuously. B. One girl can earn more by embroidering a saree. C. Two girls work better together. D. Work is quicker when they work collectively E. Work is quicker when they work collectively 09. In 1980, global service exports totaled about $370 billion, approximately 20 percent of world trade. Still, no coherent system of rules, principles, and procedures exists to govern trade in services. Which of the following best summarizes the argument? A.  Regulatory systems lag behind reality. B.  A regulatory system ought to reflect the importance of service exports. C.  World trade totaled $1850 billion in 1980 D.  Service trade legislation is a veritable wasteland. E.  While trade legislation exists, it is uncoordinated. 10. A larger number of newspapers are purchased by the citizens of Dhaka city than those of Chittagong city. Therefore, the citizens of Dhaka city are better in formed about major world events than those of Chittagong city. Each of the following, it true, weakens the conclusion above except: A.  Dhaka city has a larger population than Chittagong city. B.  Most citizens of Chittagong city work in Dhaka city and buy newspapers there. C.  The average citizen of Dhaka city spends less time in reading newspapers than does the average citizen of Chittagong city. D. A weekly newspaper restricted to the coverage of local events is published in the Dhaka city. E. The average newsstand price of newspapers sold in Dhaka city is lower than the average price on newspapers sold in Chittagong city. 11. It is difficult to measure the productivity of service workers. For example, postal workers are often said to be more productive if they can delver more letters. What it delivered? The objection implied above to the productivity measure described is based on doubts about the truth of which of the following statements? a) Postal workers are representatives of service workers in general. b) The delivery of letters is the primary activity of the postal service. c) The quality of services rendered can appropriately be ignored in computing productivity. d) Productivity should be ascribed to categories of workers, not to individuals. e) The number of letters delivered is relevant to measuring the productivity of postal workers. 12. A and B walk at five kilometers speed. C walks at five and a half kilometers speed. D walks at four and a half kilometers speed. E is slower than B. Which of the following is true? a) A is the slowest of all b) B is the speediest of all c) E is the slowest of all d) E and A have equal speed. e) C is the speediest of all. 13. A survey was recently conducted among the high school students of a certain town to measure the effect of environmental factors on attitudes and behavior, and the results indicated that students who play a ;minimum of two hours per day of violent video games are more likely to engage in violent behavior in school and at home. Therefore, playing violent video games encourages violence among teens. Which of the following, if true, would most weaken the argument above? a) The same survey was conducted in a neighboring town with similar results. b) Playing violent video games keeps violent teenagers at home and prevents them from engaging in publicly aggressive behavior. c) The survey used a standard question format that did not allow students to produce responses that could not be interpreted incorrectly. d) Students who play violent video games often have a history of behavioral issues leading back to early childhood. e) The survey was given over a period of days to ensure that all students attending the high school would participate. 14. World War if had a profound effect on the growth of nascent businesses. The Acme Packaging Company netted only $10,000 in the year before the War. By 1984 it was earning almost ten times that figure. Which of the following assumptions applies as the basis for the argument? A. Acme’s growth rate is representative of other nascent businesses. B. An annual profit of $10,000 is not especially high. C. Wars inevitably stimulate a nation’s growth. D. Rapid growth for nascent businesses is especially desirable. E. Acme is not characterized by responsible, farsighted managers. 15. Recently in city X, residential developers have stopped buying land, contractors are going without work or longer periods, and specialty workers such as, electricians are relying more or less lucrative, existing-home remodeling jobs. There must be fewer new residents moving to City X than there were previously. Which of the following, if true, indicates a flaw in the reasoning above? A. This year several housing developments have gone on the market after being held up for months by legal red tape. B. The average size of new home has increases significantly over the past years. C. The populations of the City X is projected to grow by 4% this year, compared with only 3% for last year. D. The cost of materials such as lumber and cement has decreased over the past year. E. Sales of other big-tickets, such as automobiles and boats, have remained steady over the past year. 16. Automobiles use 20 percent of all energy consumed in Bangladesh. Suppose that the Jatio Sangsad of Bangladesh has passed legislation requiring all cars builds after 2005 to be twice as energy efficient, eventually automobiles will consume on 10 percent. The argument makes which of the following assumptions? A. CNG cars willl not become widely available B. The public will not be buying twice as many cars in 2005 as it is currently. C. As cars become more energy-efficient, the public does not increase its use of cars. D. Cars will actually be three times as energy-efficient cars in 2005. E. Cars will not be significantly more expensive in 2005. 17. Disposable diapers, while a convenience, are an environmental disaster. If people would use cloth diapers instead of those made of disposable paper, much less aper would be produced savings millions of trees each year. Therefore, people should go back  to buying washing and reusing cloth diapers and Earth's precious natural resources would not be consumed so rapidly. This argument depends on which of the following assumptions? A. Cloth diapers are never disposed of. B. The current trend in infant care is doing things the old-fashioned way. C. The process of washing cloth diapers consumes less natural resources than that of using disposable diapers. D. Modern people like their conveniences more than anything else. E. The annual cost to the consumer of using cloth diapers is only 20% the annual cost of suing disposable  diapers. 18. A drug that is highly effective in treating many types of infection can, at present, be obtained only from the bark of the ibora, a tree that is quite rare in the wild. It takes the bark of 5,000 trees to make one kilogram of the drug. It follows, therefore, that continued production of the drug must inevitably lead to the ibora's extinction. Which of the following, if true, most seriously weakens the argument above? A) The drug made from ibora bark is dispensed to doctors from a central authority. B) The drug made from ibora bark is expensive to produce. C) The leaves of the ibora are used in a number of medical products. D) The ibora can be propagated from cuttings and grown under cultivation. E) The ibora generally grows in largely inaccessible places. 19. Most antidepressant drugs cause weight gain. While dieting can help reduce the amount of weight gained while taking such antidepressants, some weight gain is unlikely to be preventable. The information above most strongly supports which one of the following? A) A physician should not prescribe any antidepressant drug for a patient if that patient is overweight. B) People who are trying to lose weight should not ask their doctors for an antidepressant drug. C) At least some patients taking antidepressant drugs gain weight as a result of taking them. D) The weight gain experienced by patients taking antidepressant drugs should be attributed to lack of dieting. E) All patients taking antidepressant drugs should diet to maintain their weight 20. Employers do not need to be concerned about the happiness of their employees since psychology has shown us that all creatures do what makes them happiest. Therefore anyone who is an employee must be happy.     Which of the following is the most serious flaw in the above reasoning?     A. No objective evidence is pretended to support psychological conclusion.     B. The author applies the knowledge of one discipline to another field in which this knowledge is appropriate.     C. No distinction is made between the types of the jobs performed be employees     D. By increasing employee happiness an employer can reduce the turnover rate of his employees     E. The analogy used does not take into  consideration degrees of happiness. 21. When we observe the activities of the team-based sports like football and cricket, we find that the teams display strong socialist tendencies in their requirement of individual subordination to the authority of coaches and managers.     Which conclusion may not be inferred from the information? A. All team sports are authoritarian. B. All team players are subordinates to their coaches. C. Without employee subordination to managerial authority, production for profit would not be possible. D. all team-based sports have socialist tendencies. E. Individual subordination to authority is an aspect of socialism. 22. Factors that affect supply of labor are the size of the population, the age-sex composition, marital status, the rate of participation in labor force and some others. Which of the following is not likely to be one of such factors? A. Birth and death rates B. Immigration and emigration C. Literacy are D. Number of employment agencies E. Martial status of the female workers 23. Lux toilet soap is considered the best in the market and this has been established in a survey of 12 persons, all of whom said that they used Lux on a regular basis. Which of the following would most weaken the argument in favor of Lux? A. Birth and death rates B. Immigration and emigration C. Literacy are D. Number of employment agencies E. Marital status of the female workers 24. The consumer price index (CPI) in Bangladesh is expected to grow up next month because of an increase in the prices of selected food items. Which of the following cannot be inferred from the argument? A. The food prices have already risen sharply. B. People started rationing their food consumption. C. Food items claim a majority share of items in CPI. D. Changes in food prices are quickly reflected in CPI. E. There had been no significant decrease in prices of other items that make CPI. 25. In Bangladesh corruption is a common phenomenon. We have no research findings about why people are involved in corruption. Some might say that the cause of corruption is poverty or lack of proper system or lack of religious education. However, no one can confidently say that this is the only cause of corruption. What can be inferred from the above statements? A. We are not sure about the causes of corruption, although we have some guess about them. B. We have no idea about the causes of corruption. C. Corruption is bad for the society. D. The causes of corruption could be poverty or lack of proper system or lack of religious education or a combination of them. E. The causes of corruption is still unknown to us. 26. Neither a rising standard of living nor balanced trade, by itself, establishes a country’s ability to compete in the international marketplace. Both are required simultaneously since standards of living can rise because of growing trade deficits and trade can be balanced by means of a decline in a country’s standard of living. According to this statement, a proper test of a country’s ability to be competitive is its ability to: A. balance its trade while its standard of living rises. B. balance its trade while its standard of living falls. C. increases trade deficits while its standard of living rises. D. decrease trade deficits while its standard of living falls. E. keep its standard of living constant while trade deficit rises. 27. Shahid must be a soldier, he is wearing a helmet. The conclusion is valid if it is true that: A. All soldiers wear helmets. B. Soldiers never wear any kind of cap other than helmet. C. Only soldiers wear helmets D. Soldiers often wear helmets. E. Soldiers are required to wear helmets. 28. An electronics company’s two departments showed consistent performance over the last two years. In each year the audiovisual department accounted for roughly 30% of the company’s sales and 70% of the company’s profits over the period, while the home appliance department accounted for the balance. Which of the following statements regarding the last two years can be inferred from the statement? A. The audiovisual department is growing faster than the home appliance department. B. The home appliance department has realized lower profits per Taka of sales than has the audiovisual department. C. Total sales (in Tk) of the two departments have research and development efforts in the audiovisual department than in the home appliance department. E. To maximize profitability, the company should focus its resources on the home appliance. 29. A debate on how to define business goes on until today. Should the firm emphasize customer satisfaction of product attributes for success in business? Which of the following arguments intensifies this debate? A. Focusing too much on customer satisfaction may dampen quality and innovation. B. Product orientation alienates customer orientation objectives. C. Both types of orientations shatter firm’s mission. D. Firms are at least profitable even if they are indifferent to these orientations. E. firms generate better progress through cognition of this debate. 30. People in their fifties are more prone to avert risks when they invest. The popular belief about the young bloods is on the other hand that they would jump into the fire of risk to check how much they reap earnings from such attempt”. Which of the following statements make this comment faulty? A. The author did not mention the type of the investment. B. The statement did not mention the geographic location of the investors. C. There was no mention of the time period. D. The statement is based on the author’s own views. E. The author did not mention why there was such a difference. 31. Violent crime in a city is becoming a serious problem. Compared to the last year, local law enforcing agencies have responded to only 17% more calls involving violent crimes, showing that the average citizen of the town is more likely than ever to become a victim of a violent crime. Which of the following, if true, most weakens the argument? A. The town’s overall crime rate appears to have risen slightly this year compared to the last year. B. In general, persons under the age of 65 are more likely to be victims of violent crime than those over the age of 65. C. As a result of the town’s community outreach programs, more people than ever are willing to report violent crimes to proper authorities. D. In response to the worries about violent crimes the town has recently opened a community center organizing supervised activities for teen-agers. E. Community officials have shown that a relatively small number of repeat offenders commit the majority of violent rimes in the town. 32. Although income level is different on average, yet rural people have more purchasing power than same income class in urban households mostly because of the ability rural households hold to use part of their income otherwise used by urban household for food and shelter. Which of the following inferences best describes the above statement? a. Suburban households generally have more purchasing power than both rural and urban households. b. The average rural household includes more people than that of urban households. c. Rural households have least income used for housing and foods than the urban households. d. The median of urban household income is higher than that of rural people. e. All of the household groups spend most of their funds for housing and food. 33. In an effort to save money, Mr. Kabir is considering shutting down one of the largest textile units that has been just breaking even for the last five years. However, without this unit, many workers will lose their jobs. Thus, Mr. Kabir, who is intending to shut down the unit, will eventually have to provide these workers with money for terminating jobs without legitimate reasons. Which of the following states the conclusion of the passage above? a. The necessity of providing money to workers who will lose their jobs will prevent Mr. Kabir from shutting down the textile unit. b. If Mr. Kabir shuts down the textile unit, this will eventually force him to reopen in future. c. All the workers, who have lost jobs, will find jobs elsewhere. d. If the market demand for textile products increases in future Mr. Kabir will not be able to restart the unit. e. Terminating workers for reducing spending to save money will result in job insecurity and probably unrest among workers of other units. 34. Total number of students of 5 departments of the Faculty of Business studies is greater than total number of students of 6 departments of the Science Faculty of Dhaka University. What can we say if one of the departments is dropped from the faculty of Business Studies? a. We cannot draw any conclusion. b. Total number of students in both the faculties will be equal. c. Total number of students of the Faculty of Business Studies is gerater than the total number of students of the Science Faculty. d. Total number of students of the Science Faculty will still be greater than the total number of students of the Faculty of Business Studies. e. Total number of students of the Science Faculty is slightly less than the total number of students of the Faculty of Business Studies. 35. After the global financial crisis in October 2008, most of the stock exchanges experienced massive fall. However, the stock markets in Bangladesh experienced minimum impact in comparison to those in other countries mostly due to minimum foreign portfolio exposure. Therefore, given the above statement it can be concluded that: a. Global financial crisis was due to foreign portfolio investment. b. Because of global crisis foreign fund rushed to Bangladesh so it did not suffer from crisis. c. Since the foreign portfolio exposure to Bangladesh stock exchange was minimum, so withdrawal of such funds had little impact on the indices and price levels in Bangladesh. d. Bangladesh securities market is insensitive to international market. e. Other factors like political and economic conditions enabled Bangladesh to overcome such pressure . 36. Mr. Kamal must be a lawyer, as he is carrying a briefcase. This conclusion is valid only if it is true that : a. Lawyers never carry any kind of container other than the briefcase. b. All lawyers carry briefcases. c. Lawyers are required to carry briefcases. d. Only lawyers carry briefcases. e. Lawyers often carry briefcases. 37. A long distance runner has just completed running 28 miles. How long did it take him to finish the journey? (i) He averaged 8 miles per hour (ii) Running at the same rate, he could have run 12 miles in 1 hours. A. Both statements together are sufficient to answer the question. B. Each statement is sufficient by itself to answer the question asked. C. Both statement together are not sufficient to answer the question asked. D. Statement (ii) is alone sufficient to answer the question asked. E. Statement (i) is alone sufficient to answer the question asked. 38. Ratna is taller than Sima. Karim is taller than Somit. Somit is shorter than Amit. Sima and Amit are of the same height. If the above is true, which of the following conditions must also be true? A. Karim is taller than Amit B. Karim is taller than Ratna C. Sima is shorter than Karim D. Ratna is taller than Somit E. Sima is taller than Karim 39. In a television interview, the principal of a school claims that 75% of the scholars in the region graduated from their institution. What is the hidden message the principal wants to convey to the public? A. All graduate of the school become scholar after graduation. B. Only scholars take admission in the school. C. Only brilliant students take admission in the school. D. The quality of education in the school is excellent. E. The school provides specialized education. 40. Two salesmen are consistently performing for the sales department of ABC ltd. Salesman X is helping to generate 30 percent of sales and 60 percent of profits; and salesman Y is accounting for the remaining. Which of the following statements conform to the statement above? A. Total sales for the sales department remained roughly constant. B. Salesman X faced tougher competition in his bit than Y. C. Salesman X realized more profit for each taka of sales than Y. D. The same product had been sold by both X and Y. E. Higher profitability leads to higher futures sales of X than sales of Y. 41. In our society, the teacher-student ratio was 1:50 back in 1978. Today the ratio is 1:100. The total student population has increased significantly over the past 30 years. Which conclusion can you draw from the above statement? A. Increase in the number of students caused this situation. B. Proportionately less increase in the number of teachers was responsible for the situation. C. Not many new educational institutions came up during the period. D. Both increase in the number of students and proportionately less increase in the number of teachers caused this situation. E. Poor teaching method was responsible for this situation. 42. The average normal infant born in Bangladesh weighs between 12 and 14 pounds at the age of four months. If a four-month-old child weighs only 11 pounds, its weight gain has been below the Bangladesh average. Which of the following indicates a flaw in the reasoning above? A. Weight is one of many indicators of normal infant development. B. Some four-month-old children may weigh more than 14 pounds. C. A normal child also weigh less than 12 pounds at birth. D. Average weight gain is not the same as average weight. E. A child having 11 pounds weight does not necessarily mean insufficient development. 43. The productivity of food crops per acre doubled, so the total food production in the country has also doubled. Which of the following, if true, will seriously weaken the claim above? A. The amount of cultivable land has increased . B. The farmers have moved from the cultivation of food crops to that of cash crops significantly. C. The farmers got adequate supply of fertilizers. D. The labor cost did not increase significantly. E. The cost of fertilizer did not increase at all. 44. If rains are dropping it must be rainy season. This statement can be true if which of the following statements were true? A. Rains drop very frequently in the rainy season. B. Rainy season is good for farmers. C. Rains drop only during rainy season. D. Rains do not drop only in rainy season. E. During rainy season, rains make a storm. 45. Stronger patent laws are needed to protect inventions from being pirated. With that protection, manufacturer’s would be encouraged to invest in the development of new products and technologies. Such investment frequently results in an increase in a manufacturer ’s productivity. Which of the following conclusions can most properly be drawn from the information above? A. Stronger patent laws tend to benefit financial institutions as well as manufacturers. B. Increased productivity in manufacturing is likely to be accompanied by the creation of more manufacturing jobs. C. Manufacturers will decrease investment in the development of new products and technologies unless there are stronger patent laws. D. The weakness of current patent laws has been a cause of economic recession. E. Stronger patent laws would stimulate improvements in productivity for many manufacturers. 46. If Mr. Salauddin’s statement is correct, then the events he predicts will happen. The events he predicted did happen. Therefore his statement is correct. Which of the following arguments has a logical structure that most nearly resembles that of the argument above? A. If we win the game, we will be the league champions. B. If the fan is running, then electricity must be on. The electricity is on; therefore, the fan must be running. C. If the store is open, I will buy a shirt. I think the store is open; therefore, I should be able to buy a shirt. D. If Javed answers his phone, then my prediction is correct. I predict that he is at home; therefore, he will answer his phone. E. If Selim flight is delayed, he will miss his appointment. He kept his appointment; therefore, his flight must have been on time.

Mathematics Practice for EMBA Entrance Exam Part 2

 Mathematics Practice

Mathematics Problem for Practice: Solve each of the following problems: 01. Today is Arif’s 12th birthday and his father’s 40th birthday. How many years from today will Arif’s father be twice as old as Arif at that time?     A) 12         B) 16         C) 18         D) 24         E) None 02. Sharif ran a 2 mile race at an average speed of 8 miles per hour. If Arif ran the same race at an average speed of 6 miles per hour, how many minutes longer than Sharif did Arif take to complete the race?      A) 15         B) 10         C) 8         D) 5 (E) none 03. Three workers can do a job in 12 days. Two of the workers work twice as fast as the third. How long would it take one of the faster workers to do the hob alone?     A) 30         B) 35         C) 40         D) 42         E) none 04. A rectangular area of 16 meters by 12 meters, is surrounded by a road 3 meters wide. The area of the road is :     A) 78         B) 132         C) 204         D) 216         E) none 05. x, y, & z are consecutive integers. If 0 < x < y < z and (x + y + z) is an odd integer, which of the following could be the value of z?     A) 2         B) 3         C) 4         D) 5         E) none 06. Coffee A normally costs 100 taka per pound. It is mixed with coffee B, which normally costs 70 taka per pound, to form a mixture which costs 88 taka per pound. If there are 10 pounds of the mix, how many pounds of coffee A are used in the mix?     A) 4         B) 5         C) 6         D) 7         E) none 07. The ratio of green marbles to red marbles in a box is 3:5. If there are 24 marbles in the box, how many additional green marbles will be required to make the ratio of green marbles to red marbles 1:1?     A) 12         B) 9         C) 6         D) 3         E) none 08. Club A has 20 members and Club B has 28. If a total of 42 people belong to the two clubs, how many people belong to both clubs?     A) 3         B) 4         C) 5         D) 6         E) none 09. A sales person earns a commission of 5% on all sales between TK. 2000 and TK. 6000 and 8% on all sales over TK. 6000. What is his total commission in a week in which his sales total TK. 10,000?     A) 500         B) 540         C) 620         D) 720         E) none 10. If X is an odd integer and Y is an even integer, which of the following statements is (are) always true?     (I) X+ Y is odd.     (II) XY is odd.     (III) 2X+ Y is even.     A) I only            B) II and III only          C) III only        D) I and III only        E) none 11. A football team has won 40 games out of 60 played. It has 32 more games to play. How many of these must the team win to make it record 75% win for the season?         A) 20         B) 25         C) 29         D) 32         E) none 12. Of 24 kgs of salt water 8% is salt; of another mixture 4% is salt. How many kgs of the second mixture should be added to the first mixture in order to get a mixture that is 5% salt?         A) 48         B) 56         C) 64         D) 72         E) none 13. If a man was r years old s years ago, how many years old will he be t years from now?         A) s + r + t         B) rs + t         C) s – r + t         D) r – s + t         E) none 14. Arif travels rd of the distance at an average speed of 5 km/hr, th of the distance at an average speed of 4km/hr and the test 12 miles in 2 hours. What is the total distance traveled by Arif?         A) 45         B) 48         C) 52         D) 54         E) none 15. Arif gave x no. of stamps to Sharif. He gave Babu one more stamp than he gave Sharif and he gave Asif two stamps fewer than he gave Babu. In terms of x, how many stamps did Arif give to Baby, Sharif and Asif?     A) 3x         B) 3x + 1         C) 3x – 1         D) 3x + 2         E) none 16. A mother can do a fob as fast as her 2 daughters working together. If one daughter does the job alone in 3 hours & the other does it alone in 6 hours, how many hours does it take the mother to do the job alone?         A) 2         B) 3         C) 4         D) 6         E) none 17. Before anybody could notice, Arif took 1/3 of the chocolates from a box. Later, his three sisters arrived and the remaining chocolates were distributed equally among the four of them. Arif received a total of 48 chocolates. How many did each of her sisters receive?         A) 16         B) 18         C) 21         D) 24         E) none 18. A ferry can carry 20 buses or 32 cars. If there are 15 buses on the ferry, how many cars can be loaded into it?         A) 6         B) 8         C) 12         D) 15         E) none 19. A box contains 24 balls, some red and some black. Each of the following could be the ratio of red to black balls except         A) 1 : 1         B) 3 : 1         C) 5 : 3         D) 4 : 3         E) 5:1 20. Mr. Rahim who is 28 years of age has a son who is 4 years old. In how many years will Mr. Rahim be 4 times as old as his son?         A) 1         B) 2         C) 3         D) 4         E) 5 21. In a list of numbers, each number after the first is exactly one-third the number immediately preceding it. If the seventh number in the list is 2, what is the fourth number in the list?         A) 54         B) 63         C) 27         D) 36         E) none of these 22. If m>n, n<p and n>0, which of 1. the following must be true?     A) mn > p^2        B) mp > n^2    C) pn > m^2     D) mn > np         E) none of these 23. Anwar usually walks to his house from his office at a speed of 8 km per hour. It takes him 10 minutes longer to walk the same distance at 6 km per hour. What is the distance (in km) between his house and office?     A) 7         B) 6         C) 5         D) 4         E) none of these 24. A team of 2 men and 5 women completed one-fourth of a job in 3 days. After 3 days another man joined the team and they took 2 days to compete another one-fourth of the job. How many men can complete the whole job in 4 days?     A) 4         B) 6         C) 8         D) 9         E) none of these 25. A triangular plot with sides of 25 feet, 40 feet, and 55 feet is to be surrounded by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?     A) 21         B) 22         C) 23         D) 24         E) none of these 26. ABC is an equilateral triangle. If ÐFGH = 50°, FG = FH, BD = AE and DH = EG, what is the value of ÐCDF?         A) 80°         B) 90°         C) 100°         D) 110°         E) none of these 27. If m is an even integer and n is an odd integer and both are positive numbers, which of the following must be even?         A) m^2 + n^2         B) mn + n^2         C) m^3 + n^2         D) mn + m^2         E) none of these 28. In a sugar-water solution, the ratio of water to sugar is 8 : 3. If you add 2 kgs of sugar, the ratio becomes 2:1. What is the amount of sugar in the original solution in kg?         A) 3         B) 4.5         C) 6         D) 8         E) none of these 293. M is a set of 5 consecutive integers whose average is 4. N is a set of 7 consecutive integers whose average is 7. How many members of set N are also members of set M?         A) 0         B) 1         C) 2         D) 3         E) none of these 30. Asif is twice as old as Rafique, and Karim is 6 years younger than Rafique. Four years ago, Asif was 4 times as old as Karim. How old is Karim now?     A) 8         B) 12         C) 16         D) 20         E) none of these 31. Three workers, X, Y and Z, are paid a total of Tk. 5,500 for a particular job. X is paid 133.33% of the amount paid to Y and Y is paid 75% of amount paid to Z. How much is paid to Z? (A) 1,750 (B) 1,850 (C) 1,950 (D) 2,000 (E) none of these 32. In a certain club, 70% of the members are married, and of the married members, 60% are female. If 60% of the members are female, what percent of the members are unmarried male?     A) 8%         B) 12%         C) 18%        D) 22.5%         E) none of these 33. The mile meter of a car misses every eleventh mile being traveled. After a certain time, the meter shows that 1251 miles were traveled. How many miles were actually traveled?         A) 1291         B) 1325         C) 1376         D) 1421         E) none of these 34. B and C are points on a straight line AD, where AB = BC = CD. What 1. percent of AC is AD?         A) 1.5%         B) 50%         C) 66.67%         D) 133.33%         E) 150% 35. A square floor with side of 5 meter is to be covered with square tiles. If each tile has a perimeter of 0.8 meter, what is the minimum number of tiles needed to cover the floor?         A) 144         B) 425         C) 500         D) 625         E) none of these 36. On an average, Arif sells 10 dozens of apple per day and Karim sells 12 dozens of apple per day. Arif’s selling price is 1.5 times as much as that of Karim’s. If Karim’s weekly sales is Tk. 4,200, what is Arif’s weekly sales in taka?         A) 4,800         B) 5,000         C) 5,250         D) 5,500         E) none of these 37. The sum of 6 consecutive odd integers exceeds twice the biggest integer by 38. Find sum of the six numbers.         A) 42         B) 50     C) 57         D) 60         E) 72 38. A picnic was attended by 240 persons. There were 20 more men than women and 20 more adults than children. How many men were there in the picnic?         A) 240         B) 75         C) 110         D) 130         E) 200 39. If 3<x<7 and 5>y>2, which of the following must be true?         A) x + y > 8             B) x – y > 0         C) x – 2y < 2         D) 2x – y > 1            D) none of these 40. The price for a TV is 120% of its cost. The TV was sold at a 10% discount on the price. If the profit is Tk. 2,400, what is the cost of the TV in taka?     A) 24,000           B) 27,500          C) 30,000          D) 32,000           E) none of these 41. The import duty on a car is 50% of its cost. An additional supplementary tax of 30% is charged on the cost plus import duty. If the total of import duty and supplementary tax is Tk. 2,85,00, what is the cost of the car?         A) 3,00,000         B) 3,20,000         C) 3,75,000         D) 4,00,000         E) none of these 42. If 4 is subtracted from one-fourth of a number, result is 20. The number is         A) 84             B) 92         C) 108             D) 116             E) none of these

Mathematics Practice for EMBA Entrance Exam Part 1

Mathematics

Quantitative/ Mathematics section of MBA test uses problem solving and data sufficiency questions to gauge your skill level.  To answer mathematical/quantitative questions you require knowledge of the following: • Arithmetic • Algebra • Commonly known concepts of geometry Problem solving questions are designed to test your basic mathematical skills and understanding of elementary mathematical concepts, as well as your ability to reason quantitatively, solve quantitative problems, and interpret graphic data. Few questions from Dhaka University Evening MBA admission test are given below for your understanding of question pattern and difficulty of question. (**Bold option is the correct answer) 01. What would be the percent increase in the area of a rectangular garden if the length and width of the garden are both increased by 30% ?     A. 20%         B. 24%         C. 69%         D. 27%         E. 81% 02. In a shipment of 150 machine parts 10% were defective and in another shipment of 100 machine parts 5% were defective. For the two shipments combined, what percent of the machine parts were defective?     A. 7.5%         B. 8%         C. 8.5%         D. 9%         E. 10% 03. The difference of two numbers is 2 and the difference of their squares is 16. The difference of their cubes will be between:     A. 50 and 60         B. 60 and 70         C. 80 and 90         D. 90 and 100         E. 100 and 110 04. If a and c are both odd numbers, which of the following numbers must be n even number?     A. a + c         B. ac         C. ac + 2         D. a + c + 1         E. 2a + c 05. If m + n = 3 and n/m = 2, then n is equal to:     A. 1         B. 0       C. 2         D. 1.5         E. 0.5 06. How many 4-digit numbers greater than 7,000 can be formed from the digits 3,5,7, 8 and 9?     A. 48         B. 60         C. 72         D. 80         E. 82 07. Find the approximate future value of Tk 5, 000 at 10% p.a. for 9 months:     A. Tk 4,375         B. Tk 5,375             C. Tk 6,375             D. Tk 7,375             E. Tk 8,375 08. If x% of 40 is y, then 10x is equal to:     A. 4y         B. 10y         C. 25y         D. 100y         E. 400y 09. If 25(5^x) = 1, then the value of x is:     A. -2         B. -1         C. 0         D. 1         E. 2 10. Machine A produces 100 parts twice as fast as machine B does. Machine B produces 100 parts in 40 minutes. If each machine produces parts at a constant rate, how many parts does machine A produce in 6 minutes?     A. 30         B. 25         C. 20         D. 15         E. 7.5 11. The price of rice goes up by 25% By how much should the consumption of rice be reduced to keep the total expenditure on rice at the previous level?     A. 25%         B. 20%         C. 33.3%         D. 24%         E. 17.8% 12. The price of rice goes up by 25%. By how much should the consumption of rice be reduced to keep the total machine A produce in 6 minutes?     A. – 1         B. 2         C. – 2         D. ±3         E. 4 13. What is the rate of discount if a product costing Tk 500 is sold for Tk 470?     A. 0.05         B. 0.06         C. 0.03         D. 0.03         E. 0.30 14. In a survey of people owing cars or TVs it was revealed that 6% of those surveyed owned a car and 48% of those surveyed owned a TV. If 5% owned both a car and a TV, what per cent of them owned a car, or a TV or both?     A. 42%         B. 54%         C. 50%         D. 49%         E. 53% 15. A store loses one tenth of its merchandise due to fire. An insurance company reimburses the store for two-fifths of lost merchandise. The insurance company paid the store Tk 8,250. What was the value of the store’s total inventory before the fire?     A. Tk 2.060         B. Tk 12,875         C. Tk 51,500         D. Tk 206,250         E. Tk 160,000 16. The price of a television set is discounted by 10% and the reduced price is further discounted by 10%. The series of successive discount is equivalent to a single discount of:     A. 25%         B. 65%         C. 29%         D. 20%         E. 19% 17. An investor wants to have $1 million in 20 years. If the return is 10% compounded annually, what lump-sum amount should be invested to attain the goal of the investor?     A. $ 100,000         B. $117,459         C. $ 148,644         D. $161,506         E. $500,000 18. If m = n = 3s and m.n.s = 243, then s is equal to:     A. 4         B. 2√2         C. 3         D. 3√3         E. 9 19. If you distribute Tk 25,800 between two persons at the ratio of 8:2, the difference between their shares would be.     A. Tk 20,640         B. Tk 15,480         C. Tk 5,160         D. Tk 18,060         E. 12,900 20. If the population of Dhaka doubles every 10 years, how many times the population of the city will be in the year X+ 100 as compared to the years X?     A. 200         B. 1,990         C. 1,000         D. 100         E. 1,024 21. A number of building blocks were purchased to construct a wall at cost of Tk 40 each, but only 5/6th of them were used. If the unused 290 bricks were returned and their cost refunded, what was the cost of building blocks used to make the wall?         A. 76,000         B. Tk 22,800         C. Tk 30,400         D. Tk 41,400         E. Tk 58,000 22. A Ding-dong Restaurant Akram and Maisha pay Tk 240 as sales tax after a Tk 4000 lunch. If Maisha had ordered three more dishes so that their lunch had cost Tk 6,000, how much they would have to pay in sales tax?     A. Tk 260         B. Tk 600         C. Tk 412         D. Tk 360         E. Tk 375 23. If 2^2x = 8^(x-1), the value of x is equal to:     A. 2         B. 4         C. 5         D. 6         E. 3 24. A bus uses 18 gallons of petrol in fuel in traveling 270 miles. By how many miles per gallon the fuel mileage of the bus must be increased in order for it to travel the same distance using 10 gallons of petrol fuel?     A. 8         B. 9         C. 12         D. 15         E. 27 25. In a class of 50 students 30 have taken Economics, 24 have taken Mathematics and 10 have taken both subjects. How many students have taken neither Economics nor Mathematics?         A. 6         B. 4         C. 2         D. 8         E. 9 26. Toyota Road Tourer goes 15 miles on a gallon of gas when it is driven at 50 miles per hour. When the car is drive at 60 miles per hour it only goes 60% as far. How far will travel on a gallon of gas at 60 miles per hour?     A. 12 miles         B. 9 miles         C. 20 miles         D. 15 miles         E. 7.5 miles 27. Two cars start from the same point and travel in opposite directions. If one car travels at 45 miles per hour and the other at 60 miles per hour, how much time will pass before they are 210 apart?     A. 1.5 hours         B. 2 hours         C. 2.5 hours         D. 3 hours         E. 3.5 hours 28. What will be the approximate future value of Tk 1,000 in 10 years at 10% per year if interest in calculated monthly?     A. 2,000         B. 2,2000         C. 2,500         D. 2,700         E. 3,000 29. You want to earn an annual interest of 10% on a note that you want to buy. What should be the nearest amount (in Taka) that you would pay for the note if it is worth Tk 5,000 and matures in 9 months?     A. 4,000         B. 5, 500         C. 4,400         D. 4, 750         E. 4, 650 30. You spent a total of Tk 3,000 out of which Tk 300 was spent on meat. What angle was created for meat in a pie-chart?     A. 100 degree       B. 36 degree          C. 46 degree         D. 60 degree         E. 10 degree       31. Ahnaaf purchased brand A T-shirts for TK 400 a piece and brand B-T-shirt for Taka 280 a piece. If Ahnaaf purchased a total of 12 of these T-shirts for Taka 4,200, how many brand A T-shirts did he purchase?     A. 4         B. 5         C. 6         D. 7         E. 8 32. A man borrows Tk 20,000 at 4% compound interest and agrees to pay both the principal and the interest in 10 equal annual installments at the end of each year. What is the amount of these installments?     A. 2,360         B. 2,415         C. 2,470         D. 2,475         E. 2,510 33. A trader marks up is 100%. During the first week he allows 20% discount on the mark up price. During the second week he again allows 20% discount on discounted price. How much does the trader make profit on second week’s sale?     A. 100%         B. 50%         C. 80%         D. 28%         E. 60% 34. If 5y = 2y – 6, what does y + 5 equal?     A.–3         B. 3         C. 7         D. 5         E. –2 35. If a + √b = x + √y, what will be the value of ab?         A. a√x         B. b√y         C. √x√y         D. √a√b         E. xy 36. Find out the next numbers in a sequence of 3, 6, 11, 18 …………     A. 24         B. 25         C. 26         D. 27         E. 28 37. Find out the value of 2a + 2b if a + 2b = 6 and a + b = 10.         A. 1         B. 4         C. 20         D. –6         E. –20 38. The first 100 copies of a book cost Tk x each. After the first 100 copies have been printed, extra copies cost Tk x/10 each. How much Taka would be required to print 300 copies of the book?         A. 120x         B. 140x         C. 150x         D. 160x         E. 200x. 39. Distribute 6000 items among 2 girls, 5 boys and 3 men in such a way that a boy will get twice the items a girl gets and a men will get thrice of what a boy gets. How many items 2 men will get?         A. 200         B. 2400         C. 1200         D. 4800          E. 1000 40. Machine A fills 120 bottles in every 40 seconds and Machine B fills 100 bottles in every 20 seconds. If the two machines run simultaneously fill, how many seconds will it take to produce a total of 200 bottles?         A. 20         B. 22         C. 25         D. 28         E. 32 41. If (7.5/.5+x)=10, then x =         A. 0.3         B. 0.5         C. 2.5         D. 0.1         E. 0.25 42. ABC is an isosceles triangle. Its two sides AB and AC are equal to one another. Its BAC = 20 degree. The baseline BC is extended upto D. Of how many degrees is the angle ACD?     A. 80 degree        B. 100 degree        C. 90 degree         D. 110 degree        E. 120d degree 43. If the total salary expense of a company in year Y was Tk. 84,000, which was 20% more than in year X, what was the total salary expense in Taka in year X?     A. 64,000         B. 68,320         C. 70,000         D. 60,000         E. 52,320 44. If a > b > c, then which of the following is true?     A. a – b < b – c         B. a – c > a – b         C. a + b = b + c     D. a – c < a – b         E. a + b > 2a 45. What percent of 3/4 is 1/4 of 3/5?     A. 15%         B. 20%         C. 33 1/3%         D. 75%         E. 80% 46. Between two consecutive numbers if one-fourth of the smaller one exceeds the one-fifth of larger one by 3, find out the numbers.     A. 64 & 65         B. 60 & 61         C. 44 & 45         D. 40 & 41         E. 20 & 21 47. The integrated value of ax^2 + bx + c (in terms of x) is :     A.             B.         C.                D. 2ax + b         E. 48. In how many ways can 4 Bangladeshis and 4 Americans be seated at a round table so that no two Bangladeshis may be together?     A. 104         B. 124         C. 134         D. 144         E. 154 49. In the final examination 20% students failed in Math and 25% students failed in Bangla. Fifteen percent students failed in both Bangla and Math. If 28 students passed in both Bangla and Math, what is the total number of students?         A. 40         B. 12         C. 30         D. 56         E. 80 50. Ali lives 4 km north of school and Moshi lives 3 km east of school. A straight road is made between Ali’s house and Moshi’s house. If the cost of road is Taka 100,000 per km, what is total cost of constructing the road in Taka?     A. 7,00,000         B. 6,00,000         C. 5,00,000        D. 4,00,000         E. 8,00,000 51. If p is less than q which of the following numbers is greater than p and less than q?     A. ((p+q)/2        B. (pq)/2        C. q^2– p^2         D. pq         E. q – p 52. Given that a and b are real numbers, let f (a, b) = ab and let g(a) = a^2 + 2, then f [3, g (3)]=?     A. 3a^2 + 2         B. 3a^2 + 6         C. 27         D. 29         E. 33 53. The ratio of the number of boys to the number of girls in a certain school club is 3:4. If there are 5 more girls than boys in the club, how many girls are in the club?         A. 7         B. 8         C. 12         D. 15         E. 20 54. Out of a total of 600 employees in a corporation, 54 percent are females and 25 percent of these females work in research. If 48 percent of the total numbers of employees work in research, how many male employees do not work in research?     A. 292         B. 98         C. 357         D. 69         E. 149 55. In each production lot for a certain toy, 25 percent of the toys are red and 75 percent of the toys are blue. Half of the toys are size A and Half are size B. If 10 out of a lot of 100 toys are red and size A, how many of the toys are blue and size B?         A. 15         B. 25         C. 35         D. 40         E. 30 56. One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and one-twentieth of the non-defective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?         A. 4%         B. 5%         C. 6.75%         D. 18%         E. 13% 57. Hasan’s income is 50% more than Javed’s income, and Javed’s income is 40% less than Babu’s income. What percent of Babu’s income is Hasan’s income?         A. 160%        B. 90%         C. 96%         D. 120%         E. 75% 58. At apartment complex z, 30 percent of the residents are men over the age of 18 and 40 percent are women over the age of 18. If there are 24 children living in the complex, how many total residents live in apartment complex z?         A. 32         B. 80         C. 94         D. 112         E. 124 59. If x > 1 and (√x/(x^3)), what is the value of m?         A. -7/2        B. –3         C.  -5/2           D. –2         E. -3/2 60. If x is equal to 2 more than the product of 4 and z, y is equal to 2 less than the product of 3 and z, then how much 3x is greater than 4y?         A. 2         B. –2         C. 12         D. 5         E. 14 61. If the average of the four numbers M, 2M+3, 3M+1 is 63. What is the value of M?     A. 11        B. 15.75        C. 22        D. 23        E. 25.3 62. Shuma receives 10% raise each year for three consecutive years. What was her salary after three raises if her salary was Tk. 10000 per month?     A. 13105        B. 13310        C. 14520        D. 14109        E. 15221 63. The sum of an odd and an even number is:     A. Sometimes an odd number            B. Always an odd number                C. Always a prime number     D. Always divisible by 2                E. Always divisible by 3, 5, or 7 64. A student has an average of 86 in three examination. What grade must he/she receive on his/her next test to raise his/her average to 88?     A. 94        B. 90        C. 92        D. 100        E. 96 65. In a group of 9 children, there are twice as many girls as boys, and twice as many right-handed people as there are left-handed people. If a third of the boys are left handed, how many girls are right-handed?     A. 1        B. 3        C. 4        D. 5            E. 6 66. If m is an integer, then which of the following is the sum of the next two even integers greater than 4m+1?     A. 8m+2        B. 8m/4         C. 8m+6         D. 8m+8         E. 8m+10 67. The length of a rectangle is three times the width . If the perimeter is 36 cm, the width is:     A. 9 cm        B. 4.45 cm         C. 13 cm         D. 13.5 cm         E. 18 cm 68. What is the smallest number of apple that can be distributed equally (without cutting any  apple) among 6, 10, 14 or 18 boys?     A. 1260          B. 315           C. 360          D. 630          E. 780 69. If there are 5 routes for traveling between two places A and B, how many option are there for a person to travel from A to B and return back?     A. 5            B. 10            C. 9           D. 25            D. 20 70. The quantity of goods produced in firm is given by the equation x^2+5x=6, where x is number of units produced in thousand units. If you solve this equation, what is the rational level of production?     A. 6000        B. 4000         C. 5000         D. 1000         E. 2000 71. If 3/p=6 and 3/q= 15 then p-q=?     A. 1/3        B. 2/5        C. 3/10        D. 5/6        E. 5 72. What number should come next of the series: 201, 202, 204, 207,  ------?     A. 205        B. 208        C. 210        D. 211        E. 213 73. A store usually sells certain item at a 40% profit. In one week, the store has a sale during which the item is     20% less than the usual price. During the sale what is the percent profit the store makes on the item?     A. 6%        B. 8%         C. 11%         D. 12%         E. 14% 74. The purchase price of an article is Tk 80. In order to include 20% of the cost for overhead and to provide Tk     20 net profit, the mark up should be:     A. 16%         B. 21%         C. 25%         D. 35%         E. 45% 75. Mr. X invests Tk 2400 in the Brac Bank at 5%. How much additional money must he invest at 8% so that the total annual income will be equal to 6% of his entire investment?     A. Tk 1200        B. Tk 3000         C. Tk 1000        D. Tk 3600        E. Tk 2400 76.Suppose you begin reading a book on page h and end on age k. if you read each page completely and the page are numbered  and read consecutively, then how many pages have you read.     A. h+k        B. h-k        C. k-h+2        D. k-h-1        E. k-h+1 77. The length of a rectangle is 7 more than its width. If the perimeter of the rectangle is the same as the perimeter of a square of side 8.5, what is the length of a diagonal of the rectangle?     A. 12        B. 13        C. 23        D. 31        E. 33 78. If one root of the equation 2x^2 + x - k = 0 is 6, what is the value of k?     A. 90        B. 42        C. 18        D. 10        E. -10 79. If a 10% deposit has been paid toward the purchase of a certain product is Tk 110, how much more remains to be paid?     A. 880        B. 990         C. 1000         D. 1010        E. 1110 80. Taxi service charge an initial fee of Tk 22.50 at the begining of a tri and an additional charge of Tk 3.50 for     2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?     A. Tk 31.50        B. Tk 44.50        C. Tk 45.00         D. Tk 48.00        E. Tk 54.00 81. If 5a=3b=25, then 30ab=?     A. 50        B. 100        C. 625        D. 1000        E. 1250 82. At a special sale, 5 tickets can be purchased for the price of 3 tickets. If 5 tickets are purchased at this sale,     the amount saved will be what percent of the original price of the 5 tickets?     A. 20%         B. 33 1/3%        C. 40%         D. 60%         E. 66 2/3% 83. How many prime numbers are there from 1 to 30?     A. 11         B. 8        C. 9        D. 10        E. 12