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The following chart presents the average perception of the personal income status.
1. What percent of the average income population perceive themselves have just enough money?
The best answer is C.
Familiar you’re self with the bar graph.
Go the second bar from the right and find out what percent of this population are satisfied with their income and think they just enough money. The answer would be approximately 25%.
2. The members of which of the four groups have the wrong perception of their income in a way that they can be presumed to be greedy?
The best answer is D.
As you go over the chart, you’ll notice a pattern: the more you make, the more satisfied you are. We can see that the population, which earns a very high income, is not satisfied with their income. This may come as a surprise in a way that it breaks the previous pattern and so these are the exceptional.
3. If 50% of the low income population start to earn more money and move to the average income population, what would be the percent of people in that category who perceive themselves to have spare money?
The best answer is E.
We don’t know the amount of people in each group and therefore when people change groups we don’t know anything anymore about those groups with out sufficient information. For example, the average income population could contain 1 million people while the low-income population could include only 7,000 people.
4. In the group with the largest percent of people who perceive to have just enough money, what is the ratio between the people who perceive to have spare money to those who perceive themselves to have a lack in money?
The best answer is E.
Look at the chart and look for the biggest “diagonal lines” bar (just right bar), you will find it in the high-income population.
In that same group there are 10% people with spare money and 40% with not enough and therefore the ratio is 10:40 or 1:4.
The following chart describes the average working hours of people in different age groups. The horizontal lines represent the minimum criteria of hours per week in order to receive a certain privilege. For example, all the employees that work at least 12.5 hours a week receive a holiday bonus.
1. Which of the following age groups are most likely to receive a free cellular phone?
The best answer is E.
We can see that all the employees who work at least 27 hours are titled to receive a free cellular phone, that would include ages 18 and up, which makes answer E the best answer.
2. An employee’s “Bonus free hours” are defined to be the total hours needed in order to be entitled for a certain bonus minus the expected working hours per week of its age group. What is the “Bonus free hours” of a 22 years old employee relative to the free cellular bonus?
The best answer is C.
As defined in the question, the “Bonus free hours” of an employee who is 22 years of age is 27 (the level of the bonus) minus 35 (the expected working time per week), which is –8, thus answer C is good.
3. What is the ratio between the sums of the expected working hours of employees who are entitled to receive at least 3 bonuses to those who are entitled to only one?
A. 99:92.
B. 63:92.
C. 92:63.
D. 92:99.
E. 92:191.
The best answer is D.
Sum up the hours of all the age groups who cross at least three lines (30-40, 24-30); the sum is 92 hours. Do the same to all the groups who are over one line, which includes all the groups except for the first one. The second sum includes the first one in it and its 191 hours. The ratio is 92:191.
You could have answered right away with out the chart since you know that the second sum should include the first one and much more hours.
4. If employees under the age of 20 receive 8 dollars per hour and employees over that age receive 50% more, what is the ratio between the weekly-expected salary of two employees, 18 years old and 26 years old?
The best answer is C.
The expected weekly salary of a 18 years old employee is 28 hours times 8 dollars per hour, which is 224 dollars while a 26 years old employee makes (1.5 x 8 = 12) 40 hours times 12, which is 480 dollars per week.
The ratio is 224:480 or 7:15.
1. What is the ratio between the water consumption during the winter of 1994 to the summer of 1998?
The best answer is A.
Familiar you’re self with the graph. You can see that during the winter of 1994 250 mega-liters of water were consumed and during the summer of 1998 approx. 920 mega-liters of water were consumed and therefore the ratio is 250:920 or 25:92.
2. In which of the following years, was the ratio between the winter consumption to the summer consumption the closest?
The best answer is C.
There is no escape from it, find out approximately all the ratios.
C and E are the closest, which one is the answer. Let’s see which fraction is bigger:
The closer ratio is C since the numerator is bigger.
3. In which of the following years was the greatest increase in consumption between the winter to the summer? (In percent terms).
The best answer is A.
The greatest increase should be measured in percent relative to the winter of a certain year. Check the percent increase of each of the years.
1991- From 80 to 420, more than 400% increase.
1993- From 110 to 500, more than 350% increase.
1995- From 150 to 440, a little less than 200% increase.
1996- From 300 to 520, less than a 100% increase.
1998- From 510 to 920, less than a 100% increase.
We can see that the largest increase was during 1991.
4. If one mega-liter of water cost 30$ in 1995, approximately how much would the entire water consumption of 1998 cost assuming that there was an increase of 50% in the cost of water between 1995 and 1998?
The best answer is D.
The cost of mega-liter of water in 1998 is (30 x 1.5 = $45).
(920 + 510 = 1430 mega-liters) of water were consumed in 1998.
(1430 x 45 = $64,350) is the entire cost of water in 1998 and therefore answer D is the closest and the only one in the nearby region.
1. In the profession where the least number of new female employees are being recruited, what is the ratio between the male recruitments to the female recruitments?
The best answer is B.
Find the color, which represents the female recruitments, and look for the shortest one, thus the least number of new female employees (the bartenders bar).
You can see that there are 12 male and 8 female and therefore the ratio is 3:2.
2. In which category is the ratio between the female recruitments to the male recruitments the closest?
The best answer is E.
Find the ratio for each of the categories.
Cooks- 9 to 22.
Bartenders- 8 to 12.
Waiters- 25 to 30, which is 5 to 6.
Hosts- 5 to 6.
We can see that both the waiters and the hosts have a ratio of 5:6, which is the closest and therefore answer E is the best answer.
3. Of all the new catering company recruitments, how many more males than females were recruited?
The best answer is C.
Sum up the male bars and the female bars and find the difference between them.
There are 64 new male and 53 female employees, thus the difference is 11 people.
4. Approximately what is the percent of new male employees that were not recruited to a waiters and a cook’s job out of the total male and female recruitments?
The best answer is B.
If the male were not recruited to a cook’s job or a waiter job, they were recruited to a host or a bartender job, which is (5 + 12) 17 males’ employees in total.
The total number of new recruitments (female and male) is 117.
17 out of 117 are approximately 15% and therefore B is the answer.
5. If the manager of the catering company decides to recruit 20 more female employees and spread them evenly across the jobs, what will be the ratio between the female bartenders to the male and female hosts?
The best answer is B.
If the manager adds 20 female employees to the company and spread them evenly across the jobs, there’ll be 5 more in each job.
The ratio between the bartenders to the hosts will be (8+5 = 13) to (11 + 5 = 16) and therefore answer B is the best.
1. If all the students are on a three years course, how many more students finished with honors in 1997 than in1995?
The best answer is C.
Go to the line which represents the percent of third year students, you can easily see that in 1996 5% finished with honors while in 1997 8% finished with honors and thus the difference is only 3%.
2. The class of which of the following years improved most significantly their percent of honor students from first to last year? (Students who finished their third and last year in 1999 for example are considered class of 1999).
The best answer is A.
Go over each of the classes and see the improvement.
The class of 2000 finished with 19% honor students while they started in 1998 with 2%, which makes an 17% increase. The class of 1999 improved by 15% and the class of 1998 improved by 10% only. And therefore class of 2000 made the biggest increase and A is the answer.
3. In the second year where there was a decrease in the percent of honor students, what was the ratio between the percent of third year to second year honor students?
The best answer is D.
The first year, which had a decrease in the number of honor students, is the year 2000. In that year the ratio between third to second year honor students is 19 to 7 percent.
4. If every second year honor student in 2000 was also an honor student in 2001 and if 10% of the non-honor students among that group were also honor students in 2001, what percent of the third year students in 2001 honor students?
The best answer is C.
7% of the second year honor students in 2000 were also honor students in 2001 and 10% of the rest (10% of 94% is 9.4%) are also honor students.
Add up the percentages: 7% + 9.4% is 16.4% percent honor students.
5. Assume that in 1997 there were 3,000 first year students in the University of Berkley. How many more third year honor students were in 1999 than second year honor students in 1998?
The best answer is D.
The same 3000 first year students in 1997 reached their third year in 1999 and therefore we can use the percentages in the graph.
In 1999 there were 18%, which is 540 honor students.
In 1998 there were 4%, which are 120 honor students.
The difference is 420 students.
6. What is the ratio between the second year honor students in 1997 to the second year non-honor students in 1997?
The best answer is A.
In 1997, second year, there were 8% honor students and therefore 92% of the students were non-honor students. The ratio is 8 to 92 or 2 to 23.
7. If in the class of 2000, each student was an honor student only once during his three years of studying, what percent of the students were honor students once during the trial of their degree?
The best answer is C.
If each student wasn’t an honor student more than once in the class of 2000 then by adding up the percentages you’ll receive the percent of the students who were honor students once during the trial of their degree.
The answer is (19% + 6% + 2% = 27%).
8. If every student from 1996 to 2000 received the honor roll appellation only once during his entire trial of studying, which of the following classes contains the largest percent of students who were honor students at least once?
The best answer is A.
Check the numbers for each of the classes.
In the class of 2000- (19% + 6% + 2% = 27%) were honor students once.
In the class of 1999- (18% + 4% + 3% = 25%) were honor students once.
In the class of 1998- (11% + 4% + 1% = 16%) were honor students once.
The class with the largest percent is the class of 2000, thus answer A is the best.
9. Among the honor students in the year 2000, what percent are third year students and learn Aerospace?
The best answer is E.
We know that 19% of all third year students are honor students and we know that 10% of all the honor students study Aerospace (second and first year too) but we can make a correlation between the two groups, we need more sufficient data.
We don’t know how many students are in their third year, that’s the missing link and therefore answer E is correct.
10. Assume that 12,000 students study in the Berkley University in the year 2000 and 50% are in their second year. How many honor students are in their second year and study Agriculture?
The best answer is E.
If 12,000 students are in their second year of study in the year 2000, we know that 50% out of them are in their second year, which is (0.5 x 12,000 = 6,000).
Out of the 6,000, 7% are honor students, which are 420 students.
By the bar graph, we know that 15% of all the students study Agriculture but we don’t know how many of them are in their second year and therefore we lack sufficient information. The answer is E.
1. For how many months in 2000 were the sales of world music CD’s less than any other trends of music?
The best answer is C.
Each line in the graph represents a type of music trend, find the line that represents world music and go over it from January to December and look for months that the line is the lowest among the other 3. You can see that in the months of April and June the line is the lowest one and therefore the answer is 2.
2. Approximately how many more world music CD’s were sold in August than Classic ones?
The best answer is B.
The question requires data from the months of August, go to that month and find, according to the line style, how many CD’s were sold in each of the music trends necessary. 7 million were sold in the world music category and 5 million were sold in the classic category, approximately 2 million difference.
3. In which of the following months were the total CD’s sales approximately double that of classic CD’s?
The best answer is A.
This question could take you a long time if you don’t work wisely.
Don’t go over all the months, just the ones that are listed in the answers.
Answers, like December, you can easily disqualify since the classic music trend is relatively low. You can see that in the month of February the total CD sales were approximately 10 million, 5 out of them came from the classic category and therefore the classic music trend represents 50% of the total and A is the answer.
4. What was the approximate increase in the sales of Rock CD’s from February to September as percent of the increase in the sales of world music CD’s over the same period of time?
A. 20%.
B. 25%.
C. 40%.
D. 50%.
E. 75%.
The best answer is A.
In February, 3 million Rock and 1 million world music CD’s were sold.
In September, 4 million Rock and 6 million world music CD’s were sold.
In percent terms, the question is simply is how much is (4-3)/(6-1) = 1/5 = 20%.
And therefore answer A is the best.
5. If 195 million copies of Rock CD’s were made in the year 2000, approximately what percent were sold?
The best answer is D.
You need to find how many Rock CD’s were sold during the entire year.
Find the line that represents the Rock category and sum up the sales in each of the months from January to December. Approximately 78 million copies were sold, which exactly 40% of 195 million. (78 x 2.5 = 195), and therefore answer D is the best.
Sales and Net income of two competing companies
1. Approximately what were the average sales of company X during the entire year
(In millions)?
The best answer is C.
Go to the sales graph and sum up the sales of company X across the seasons and divide by four. The math is (53/4 = approximately 13) and therefore the answer is C.
2. The sales of company Z in the winter were approximately how many times as great as the sales in the spring?
A. 2.5.
B. 3.
C. 4.
D. 5.
E. 5.5.
The best answer is E.
Go to the sales graph and find the pattern which represents company Z.
In the spring approximately 2.5 million dollars were sold while in the winter approximately 14 million were sold. 14 divided by 2.5 is 5.6 and therefore answer E is the closest one.
3. From summer to winter, the decrease in the net income of company X was approximately how much more in dollars than the increase of the net income of company Z during the same period of time?
The best answer is C.
Go to the net income graph. In the summer, 720 thousand dollars were made by company X while only 110 thousand were made by company Z. In the winter, X made 350 thousand while Z, made 430.
The differences in the decrease of X and the increase of Z is approximately
(720 – 350 – (430 – 110) = 50) thousand dollars.
4. Which of the following ratios was the greatest during the spring?
The best answer is B
The best and most reassuring way is to check each of the ratios approximately.
The best answer is obviously B.
5. For what company in which season was the net income at least 5% of sales?
The best answer is E.
In this question you’ll need to cross the data from both of the charts.
Go over each of the possible answers and find the percent of the net income to sales.
The following chart represents the range of prices according to category of imported cars to the state of Idaho in the year 1988. The prices are in hundreds of dollars.
1. What two types of cars cannot be bought in the same price?
The best answer is E.
The chart represents ranges of prices. Try to find two categories that do not have an overlapping- the only categories among the answers given that don’t have an overlapping are the ones in answer E. European cars range from 250 to 450 while sports cars start only in 500.
2. Which of the following categories have the largest amount of overlapping in their price?
A. Executive cars and American cars.
B. Japanese cars and Europeans cars.
C. Japanese cars and American cars.
D. Sports cars and Japanese cars.
E. European cars and sports cars.
The best answer is C.
Go over each of the answers and find the overlapping between the two.
A- There is a 250 hundred dollars of overlapping.
B- There is a 200 hundred dollars of overlapping.
C- There is a 400 hundred dollars of overlapping.
D- There is a 50 hundred dollars of overlapping.
E- There is no overlapping.
We can see that C is the best answer since the Japanese category is included in the range of the American category according to the graph.
3. Which of the following statements must be false?
The best answer is D.
The key to this question is to understand that the average can be anywhere along the range and not necessary in the middle.
All the answers are possible except D because there is no overlapping between the two categories and therefore the higher range must have the higher average, which is contrasting to the statement. And therefore D must be the only statement that must be false.
4. Which of the following statements must be true?
The best answer is D.
Let’s go over answers A, B and C.
A- The maximum price of an executive car is 950 while the minimum price of a sports car is 500 and therefore this statement is true.
B- The first overlapping is approximately 250 while the second overlapping is approximately 100 and therefore this statement is also true.
C- The average price can be anywhere in the range and therefore this statement is not necessarily true and D is the answer.
5. A young couple in the state of Idaho bought two cars, an Executive car for the husband and a sports car for the wife. Which of the following amounts is not a possible price for both cars?
The best answer is A.
The range of prices for the sum of both cars is between the two minimum prices to the two maximum prices. In other words, the minimum price is (50,000 + 35,000 = 85,000) and the maximum possible price is (95,000 + 100,000 = 195,000).
Among the answers given, A is the only one that is out of range.
6. Two cars were stolen from a car dealership in Boise, Idaho. Which of the following cannot represent the loss of the car dealership’s owner?
The best answer is C.
Find the possible range of any two cars since we don’t know what kind of cars were there in the dealership.
The minimum price of any car is the low end of the range of the compact cars, which is approximately $7,500. And therefore the minimum price for two cars is $15,000.
The maximum price is determined by the highest price in the chart, the highest price for a sports car, which is $100,000 and therefore the maximum price for two cars is $200,000.
The only answer which is not in the range is C, $10,000.
7. If Michael has $20,000, which of the following cars are in his budget?
A. Compact car.
B. Japanese car.
C. American car.
D. European car.
E. answers A-C are correct.
The best answer is E.
Go to the 200 line in the graph and find out which of the categories have a possible range under that line. Answers A, B and C are possible and therefore E is the answer.
8. Robert bought a sports car in 1988 and sold it after a few weeks in a price that ranges from $35,000 to $43,000. What would be his financial loss on the car?
The best answer is D.
The financial loss also has a range, let’s find it.
The minimum loss would occur if he bought the car at the lowest price (50,000) and sold it in the highest price (43,000), the loss is $7,000.
The maximum loss is exactly the opposite. He bought the car at the highest price and sold it at the lowest price, thus (100,000 – 35,000 = 65,000).
We can see that D is the correct range.
9. Antonio bought a compact car and sold it after a year at 75% of its original price. What was the price of the car that Antonio sold?
The best answer is E.
Antonio bought a car between $7,500 and $40,000. Take 75% of both edges and you’ll receive the price that he sold the car. 75% of 40,000 is $30,000 and since answer E is the only one with that number, that is the answer.
The following graph represents the prices of apartments in Chicago in different parts of the city. Each shape represents the ranges of prices and sizes of apartments in each of the areas mentioned in the key. For example, point A represents an apartment in the Chicago suburbs that is 140 meters squared and costs 210 thousand dollars.
Key:
v The rectangle represents apartments in the West side of Chicago.
v The ellipse represents apartments in the down-town area of Chicago.
v The triangle represents apartments in the East side of Chicago.
v The parallelogram represents apartments in the suburbs of Chicago.
1. What size of apartment can be bought only in one area of Chicago?
A. 110 meters squared.
B. 115 meters squared.
C. 125 meters squared.
D. 130 meters squared.
E. 155 meters squared.
The best answer is A.
To each of the possible answers, draw an imaginary vertical line and see where it intersects.
110 meters intersects the rectangle only while all the others intersect at least two geometric shapes and therefore A is the answer.
2. Which of the following sizes of apartments (in meters squared) can be found in the greatest number of place across Chicago?
The best answer is D.
Again, draw a vertical line and count how many different geometric shapes the line intersects. All the lines except for one intersect 2 geometric places. The size 142 meters squared can be found in three different places in Chicago and therefore this is the answer.
3. Ruth and Bill are interested in buying an apartment building that is at least 130 meters squared, in the lowest price possible. In which of the areas of Chicago should they buy an apartment?
The best answer is C.
Go to the 130 line (in the horizontal axis) and look to the right of it.
There are three possibilities: downtown, suburbs and East side.
The apartments with the lowest price are the ones in the ellipse and therefore they should buy an apartment in the downtown area of Chicago.
4. In which of the following areas in Chicago, when the size of the apartment increases the price decreases?
A. West side.
B. East side.
C. Downtown area.
D. Suburbs.
E. Answers A and B are both possible.
The best answer is B.
The geometric shape that has a negative slope is the triangle and so when the sizes increase the prices decrease. This is not a logical regularity but this is what the graph gives us.
5. Which of the following schematic charts represents the difference (in absolute value) between the high and the low price of an apartment building in the suburbs of Chicago?
A. B. C.
D. E.
The best answer is D.
Look at the geometric shape that represents the suburbs of Chicago, thus the parallelogram. In the beginning the high and the low price are both the same so the difference graph should start from zero. Then the high price increases and the low price stays the same, thus answers B, C and D are possible. After that the high price and the low price remain equal and so the difference graph should also be horizontal, answers C and D are left. The last part is the same as the first one, only in different direction and therefore answer D is the only one left.
Movie A and movie B are two new successful movies that started to play at the same time. The following graph represents the differences in ticket sales in the first 10 weeks of sampling. The “best movie” is the one that sold more tickets after 10 weeks.
1. In which week was the same number of tickets sold in both movies?
The best answer is C.
The points on the graph represent differences in ticket sales. The week that doesn’t have any point is the week where the same number of tickets was sold; that would be the eighth week and so answer C is the best.
2. If in the first week, 9,560,000 movies A tickets were sold, how many movie B tickets were sold that week?
The best answer is E.
The point in the first week represents the number of tickets that movie A sold more than movie B and therefore movie B sold 5 million tickets less than 9,560,000, which is 4,560,000 and therefore answer E is the correct.
3. If movie A sold the same number of tickets each week then in which of the following weeks was the least amount of tickets sold to movie B?
The best answer is E.
If movie A sold the same number of tickets each time all we have to do is look for the week in which movie A sold as many more tickets than movie B, that would be on the ninth week- there movie A sold 9 million tickets more than movie B.
4. In the fourth week, movie B sold 5 million less tickets than in the third week. What would be the difference in the number of tickets sold to movie A between the third and the fourth week?
The best answer is C.
In this question the easiest way is to plug in some numbers.
Let’s say that 20 million tickets were sold on the fourth week for movie B and therefore 25 million were sold in the third week according to the question. Now go to the graph; in the third week movie B sold 4 million more than A, thus A sold 21 million tickets.
As for the fourth week, A sold 6 million more than B, thus A sold 26.
The difference in ticket sales are (26 – 21 = 5 million) and therefore answer C is correct.
5. Which movie won the title “best movie”?
The best answer is B.
Each week, we know which movie sold more tickets. If we sum up the differences in each of the weeks we’ll find that movie B sold 4 million tickets more than movie A and therefore it is the “best movie”.
The following graphs represent the total sales of the “Bulletin Newspaper” in the city of Wisconsin, Illinois across a period of 15 years. The lower graph represents the breakdown of production to each of the photographic engraving machines.
1. For how many years did machine D produce more newspapers than any other photographic engraving machine?
The best answer is C.
The question refers solely to the bottom graph. We are looking for years in which the line that represents the machine D is the highest. We can see that in the years 1983 and from 1986 to 1990 machine D had the highest percentage of production and therefore C is the answer.
2. In which of the following years was the number of copies sold closest to 2 million?
The best answer is E.
2 million will be represented as 2000 in the upper graph since the units are in thousands.
Go over all the given years (only) and see which one is the closest to 2000.
You can easily see that in the year 1989, the sales stood on approximately 1900, which is the closest.
3. In which of the following years, was the greatest number of active photographic engraving machines?
The best answer is C.
This question requires the use of the upper graph only.
Go over all the given years and draw an imaginary vertical line to each one, see how many “machine” line it intersects. You can easily see that in 1982 there were four intersections.
4. In which of the following years was the least amount of active machines?
The best answer is A.
This question is exactly the opposite of the previous one. Again draw a vertical line and count the intersections, this time look for the minimum.
You can see that in 1976 only one machine did all the work and therefore A is the answer.
5. In the year in which machine A did four times more work than machine B, how many copies approximately of the “Bulletin Newspaper” were sold in Wisconsin
(In thousands)?
The best answer is C.
Go over the first years (where machine A was active) and find the year in which machine A did 4 times the work machine B did in percent terms. You can see the in the year 1979, 20% of the work was done by B and the rest (80%) was done by A and therefore this is the spoken year. Go to the upper graph and find the amount of copies sold, the answer is approximately 750 and so C is the closest answer.
6. Approximately how many copies of newspapers did machine C make in the year 1988?
The best answer is C.
Go to the bottom graph; machine C did 35% of the total work.
According to the upper graph, approximately 2,350,000 copies of newspapers were sold.
35% of 2,350,000 are approximately 820,000 and therefore C is the answer.
7. What exactly is the difference between the number of copies that machine D and B did
in 1982?
The best answer is E.
Go to the year 1982 in the bottom graph. You can see that machine D and B did the same amount of work and therefore the difference must be zero.
8. By approximately what percent did the yield from machine A increase from 1977 to 1981?
The best answer is E.
Let’s find the increase in the yield of machine A.
In 1977, machine A did 100% of the work, which are approximately 450,000 copies.
In 1981, machine A did 50% of the work, which is 50% of 1,500,000, thus 750,000 copies. The difference (or the increase) was by 300,000 copies and in terms of percent the increase was (300/450 = 67%) and therefore E is the answer.
9. In how many years did machine C did the same amount of work as any other machine from 1981 to 1990 inclusive?
The best answer is C.
Remember, intersections are do not count between the years, only when the exact mark of the year comes. In other words there were 3 intersections only, in 1981, 1983 and in 1985.
The intersection between 193 and 1984 does not count as one.
10. Approximately what is the ratio between the numbers of newspapers that machine D produced in 1987 to the number of newspapers that machines A and B produced in 1981?
The best answer is E.
Use both graphs to answer this question.
In 1987 machine D produced 60% (from bottom graph) of 2400 (upper graph), which is 1,440,000. In 1981 both machine together produced a 100% of the newspapers that were sold, thus 1,500,000. The ratio is 144 to 150; break it down into simpler numbers.
Divide by 2: 72 to 75 and therefore answer E is the best.
The first graph represents the budget breakdown of three major hospitals to factors.
All of the budgets are the same and there are no other allocations besides those in the graphs. The second graph represents the percent of satisfied patients in each of the hospitals by gender. For example, 30% of the males that voted in hospital B are satisfied with the service.
1. In the hospital where the percent of the satisfied female patients is the highest, what is the ratio between the percent of satisfied male patients to the percent of unsatisfied female patients?
The best answer is C.
Use the bar chart; the hospital in which the percent of the female satisfied patients is the highest is hospital C. There, there are 10% male satisfied patients and 30% unsatisfied female patients. The ratio is therefore 1 to 3.
2. In the hospital where the percent of satisfied male and female is equal, what percent of the budget is being spent on hospital staff?
The best answer is E.
According to the bar chart, the hospital in which the percent of the males and the females is the same is hospital B. In that hospital 5% of the budget goes to nurses and 20% of the budget goes to doctors, altogether 25% of the budget goes to staff.
We assume that the staff includes the doctors and the nurses.
3. In which of the following areas doe’s hospital A invests the largest part of his budget?
The best answer is C.
According to the graph, the hospital spends the largest part of his budget on doctors, which are not among the options and therefore go to the second investment, which are the nurses (25% of the budget). The best answer is C.
4. Which of the following is the most expansive investment?
The best answer is E.
Go over each of the answer and find the percent of investment. Remember that the passage prior to the questions claimed that all the budgets are equal.
Hospital B spent 50% of his budget on equipment, which are the most expansive investments among the other answers.
5. In which of the hospitals the difference between the investment in doctors and nurses is the greatest?
A. Hospital A.
B. Hospital B.
C. Hospital C.
D. Answers A and B.
E. Answers B and C.
The best answer is A.
Let’s go over each of the hospital and find the required difference.
Hospital A: 50% goes to doctors and 25% goes to nurses. The difference is 25%.
Hospital B: 20% goes to doctors and 5% goes to nurses. The difference is 15%.
Hospital C: 30% goes to doctors and 15% goes to nurses. The difference is 15%.
And therefore the greatest difference is in hospital A.
6. In which of the following hospitals is the ratio between the investment on medicine and equipment relative to hygiene and food the closest?
The best answer is A.
Go over each of the answers and find the necessary ratio.
A: 15% goes to food and hygiene while 10% goes to medicine and equipment.
B: 20% goes to food and hygiene while 55% goes to medicine and equipment.
C: 35% goes to food and hygiene while 20% goes to medicine and equipment.
The closest ratio is in hospital A. The ratio is 10 to 15 or 2 to 3.
7. The number of male patients that participated in the pole of the second graph in all the hospitals is the same. If the number of satisfied patients in hospital C is 68, what is the total number of satisfied male patients in all three hospitals?
The best answer is B.
If 10% are 68 people then 100% are 680.
The question said that the number of male patients is equal in all the hospitals (680).
Sum up the satisfied male patients in all the hospitals: 68 + (0.3 x 680) + (0.4 x 680) = 68 + 204 + 272 = 544 patients.
8. Based on the two graphs, which of the following statements represents the reality in the hospitals in the best way?
The best answer is D.
Ironically, the less hospital spends on hygiene the more satisfied male patience.
Using both graphs, we are looking for a pattern in the general results of the graphs.
We can see that hospital A spends the least amount of money on hygiene while the percent of male patients there is the highest. Answer D reflects the tendency of male patients according to the graphs.
9. Which of the following represents the status of hospital C?
The best answer is D.
From the first graph you can conclude that a large portion of the budget goes to doctors. From the second graph you can notice that the percent of satisfied females is relatively high. The answer that reflects this situation is D.
The following chart represents the number of visitors and their origin and the percent of bypasses that only come and go through the gates of the city.
The percent of bypasses is relative to the total number of visitors.
1. In the year where the percent of bypasses was the greatest, approximately what percent of the total visitors came from the United States?
A. 25%.
B. 48%.
C. 65%.
D. 72%.
E. 83%.
The best answer is E.
According to the graph, the year with the greatest amount of bypasses is 1985.
In that year, 48 thousand out of 58 thousand visitors came from the U.S.
In percent terms: 48 out of 58 is approximately 50 out of 60, which is approximately 83% and therefore answer E is the closest one.
2. If 40% of the visitors to Las-Vegas gambled during their stay, how many gamblers were in the year 2000?
The best answer is B.
In the year 2000 (52 + 24 + 16 = 92) thousand visitors came to Las-Vegas.
40% among them gambled. 40% of 92,000 are 
.
3. In 1990, what was the ratio between the numbers of visitors that came from South America to those who came from Europe?
The best answer is C.
Look at the numbers below the graph. You can easily see that 8,000 visitors came from South America while 12,000 came from Europe. In ratio problem the zero’s “fall off” and you are left with 8 to 12, which is 4 to 5.
4. Approximately how many visitors in 1990 are only bypasses?
The best answer is D.
We were told that the percent of bypasses is relative to the total number of visitors.
In the year 1990, we can see that there were (45 + 8 + 12 = 65) thousand visitors to Las-Vegas. 20% out of them are bypasses, which is 13,000 and therefore answer D is correct.
5. In 1995, what is the ratio between the numbers of bypasses to the number of visitors that came from South America?
The best answer is C.
In 1995, the total number of visitors is 90,000; 10% of 90 thousand are bypasses, which is 9,000. Based on the table, the amount of visitors that came from South America is 18,000 and therefore the ratio is 1 to 2.
6. In which year was the greatest amount of real visitors?
(Real visitors are the number of people that are not bypasses).
The best answer is
Take each year and find the approximate number of real visitors, do not waste your time and calculate the accurate numbers.
In 1985, 65% (100% - 35%) out of 58,000 is approximately 38,000.
In 1990, 80% (100% - 20%) out of 65,000 is approximately 52,000.
In 1995, 90% (100% - 10%) out of 90,000 is approximately 81,000.
In 2000, 95% (100% - 5%) out of 92,000 is approximately 87,400.
We can see that the greatest amount of real visitors is in the year 2000.
Basically, the whole calculation procedure is unnecessary since we can see that the number of visitors is growing each year and the percent of bypasses is decreasing.
7. Assuming that all the Las-Vegas visitors are mentioned in the graph, how many bypasses didn’t come from Europe in 1990?
The best answer is D.
In 1990 there were 65,000 visitors in total. 20% of them were bypasses and we don’t know their place of origin and so E looks like a good answer, but no.
Even if all the Europeans were bypasses, there will still be 1,000 bypasses left and so the number of bypasses which didn’t origin in Europe is more than 1,000 but we already know that its less than 13,000 and therefore D is the answer.
8.Which of the following statements is true?
The best answer is D.
Let’s eliminate each of the answers until we find the best one.
(A) In 1995 there could have been any types of visitors in the groups of bypasses including people from South America and therefore this answer is disqualified.
(B) We saw in the first questions that the bigger the number of visitors, the lower the percent of the bypasses and therefore this answer is also disqualified.
(C) If all the Europeans in 1990 came from Europe and in 1985 none of them came from Europe than the statement wouldn’t be true and therefore it isn’t necessarily.
(D) This is the only correct answer. Even if all the bypasses came from Europe there’ll still be more Europeans than in 1990.
9. In the year with the greatest percent increase in the number of visitors from South America, how many bypasses didn’t come from South America?
The best answer is B.
First, find the relevant year. You can see that in the year 1995 there are 18 thousand visitors from South America while in 1990 there were only 8 thousand- that’s the largest increase. In that year there are (0.1 x 90,000 = 9,000) bypasses and therefore there could be zero or even 9,000 from different places than South America.
The answer is B.
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