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The 3 first graphs should be attached here.
1. Approximately how much did the total revenues increase from 1991 to 1995?
The best answer is C.
First familiarize your self with the graphs.
The question is about the graph of the revenues, look at the difference between the top value of the column in 1991 and 1995. You can see that the difference between the years is approximately (21,500 – 15,000 = 6,500) and thus the answer is C.
2. In the year which profits from Organic materials decreased over the previous year, the revenues from Non-organic materials were approximately
The best answer is A.
Refer to both bar graphs. Look for the year in which the Organic bar is lower than its previous year, the only year is 1995. Then go to the other bar graph and look again in the year 1995, the revenues from Non-organic materials are (15,000 – 2,500 = 12,500) and thus the answer is A.
3. In the year which profits from Organic materials are the lowest, what percent approximately of the total revenues belong to the Organic materials?
The best answer is C.
Refer to both bar graphs. From the profit graph, we can learn that the question is asking about the revenues of the year 1993. In that year, revenues from Organic materials present approximately $8,000 and the total revenues are approximately $22,000. In percent terms the answer is (8/22 = approximately 36 percent) and so the best answer is C.
4. In 1994, total profits represented approximately what percent of Geeweez’s total revenues?
The best answer is C.
Refer to both bar graphs. From the profit graph, we can conclude that the total profits for 1994 are approximately $9,500. From the revenue graph, we can conclude that the total revenues are approx. $24,000.
(9,500 / 24,000) in percent terms is approx. 40% and thus C is the answer.
5. The profits on Non-organic materials in 1992 are approximately what percent of the total revenues in 1994?
The best answer is B.
Refer to both bar graphs. Look in the year 1992 in the profit graph, the profits from the upper bar column, which belongs to the Non-organic materials is approx. (10,000 – 4,000 = 6,000). In the year 1994, the total revenues are approx. $24,000 and thus the answer in percent terms is (6/24 = 0.25) 25%.
6. For the first year in which Non-organic materials revenues surpassed $16,000, total profits were approximately
The best answer is A.
Look at the revenues graph, start in 1991 and go through the years until you find one that the revenues from Non-organic materials is over $16,000, the first possible year is 1994. Now go to the second graph and see how much profits were made that year, the answer is approx. $3,200.
7. For the last year in which profits from Organic materials were under $2,000, approximately what were the total revenues in the previous year?
The best answer is D.
This is a tricky question, pay attention.
We were asked about the last year so start from 1995 and move down the years. In 1995 the profits from Organic materials were under $2,000 and so the question is asking the total revenues in the previous year, thus in 1994.
The answer is approx. $24,000.
8. In 1994, what were the Non-organic revenues, which belong to the Metal group?
The best answer is C.
First look at the revenue bar graph, the total Non-organic revenues are $18,000.
Now move to the pie graph, you can see that the metal group is 60% of the total and therefore 60% of 18,000 are the correct answer. (0.6 x 18,000 = 10,800).
9. Of the Non-organic revenues in 1994, how much approximately were not made from metal or glass?
The best answer is A.
First look at the revenue bar graph, the total Non-organic revenues are $18,000.
Now move to the pie graph, you can see that the metal group is 60% of the total and the glass group is 28% and therefore 12% of 18,000 are left, which are also the clay group. (0.12 x 18,000 = 2,160). The closest answer is A.
10. What percent approximately are the revenues of the Non-organic Metal materials in 1994 relative to the total profits in the years 1994 and 1995?
The best answer is D.
First look at the revenue bar graph, the total Non-organic revenues are $18,000.
Now move to the pie graph, you can see that the metal group is 60% of the total and therefore 60% of 18,000 are $10,800.
Now go to the profits graph, the total profits in 1994 and 1995 are approx. $19,000.
In percent terms, 10.8/19 is approximately 55% and thus answer D is the best.
1. The team that made the finals played 50% more games. Which of the following teams made it to the finals?
The best answer is E.
We are given a piece of substantial information, a team that made it to the finals played 50% more games than a team that didn’t.
We can see from the graph that some teams played a total of 40 games and the others played a total of 60 games and therefore those teams made it to the finals.
The answer is E, meaning that teams B and D made it to the finals.
2. For the team with the least number of loses, what percent approximately are the tied games of the total number of games?
The best answer is B.
The team with the least amount of loses is Team B, you can see that by comparing the sizes of the uni-colored bars for all teams. The number of tied games is 20 and the total number of games is 60 and therefore the percent is 20/60, which is approximately 33%.
3. For the team with the median amount of tied games, won games represented approximately what percent of that team’s total games for that year?
The best answer is D.
Look through all the teams for the median number of tied games. The median can easily be found: There are 5 teams and therefore the median number would be the one, which has 2 smaller and 2 bigger tie games than his, the right team is D.
Team D won 32 games, which is approximately a little over 50% and therefore the best answer is D.
4. If Team E won 15 games in the year 2000, Team’s E winnings increased by what percent from 1999 to 2000?
The best answer is C.
Team E won 5 games in 1999.
15 are 300% of 5 and therefore there was an increase in 200% in the number of games won from the year 1999 to 2000.
5. If each team receives 3 points for winning a game, 1 point per tie game and 0 points per lose, which team collected the greatest amount of points in the year 1999?
The best answer is B.
At first glance, the answer is either B or D since both teams won a lot of games compared to all the other teams. If you were more specific, you will see that team B tied more games than team D and therefore collected a greater amount of points.
The following table describes a certain family with five kids, on Christmas; each kid receives money from each of the older family members. Each family member spends a certain amount of money on gifts per child; the numbers in the middle of the table describes the distribution. For example, dad gave 15% of his gift money to kid B.
| Kid A | Kid B | Kid C | Kid D | Kid E | Total | |
| Mom | 100% | |||||
| Dad | 100% | |||||
| Grandmother | 100% | |||||
| Grandfather | 100% | |||||
| Uncle Bob | 100% |
1. Which family member gave Kid D one fifth of his Christmas money?
A. Mom.
B. Dad.
C. Grandmother.
D. Grandfather.
E. None of the answers are correct.
The best answer is E.
The numbers in the middle of the table represent the percent of the total money that each family member spent on a certain kid. Don’t be mistaken, mom spent 20% of her gift money on kid D, yet Grandfather's 15% could be more because we don’t know which family member spent more money on gifts.
2. Which family member spent a quarter of his gift money on kid B and kid D?
A. Dad.
B. Mom.
C. Grandmother.
D. Grandfather.
E. Uncle Bob.
The best answer is D.
You are looking for a family member that spent 25% on both B and D.
If you add the percentages in columns B and D, you will know what percent each family member spent on those kids. The sum of grandfather adds up to 25% and therefore he is the only family member who spent a quarter of his money on kid B and D.
3. Which of the following arguments must be true?
A. The amount of money that dad gave to kid D is twice the amount that mom gave to kid B.
B. Kid E received the same amount of money from mom and from grandmother.
C. Grandfather gave one of the kids the same amount of money that he gave to two other kids together.
D. One of the family members gave kid B more money than any other family member.
E. Answers A and B are correct.
The best answer is C.
Go over all the answers.
Answers A and B are not necessarily true since the numbers presented in the table are in percent and not in actual figures of money. Answer D is incorrect for the same reason.
Answer C is the best one since it compares two percentages of the same family member. Grandfather spent 32% on kid A and (17% + 15% = 32%) on kids C and D and therefore this argument is correct.
4. If it turns out that grandfather spent twice as much money, in total, as dad, then
A. Kid B received more money from grandfather than from dad.
B. One of the Kids received more money from Dad than from Grandfather.
C. The amount of money that dad gave to kid A and B is identical to the amount of money that grandfather gave to kid A and B.
D. Uncle Bob spent more money on kid C than grandfather.
E. Answers A and B are correct.
The best answer is A.
The question tells us that the 100% of grandfather is equal to 200% of dad, in other words take 100$ as the money that dad spent and 200$ as the money that grandfather spent. Now that you have real numbers, try all the answers, only answer A is good.
15% of 100$ is smaller than 10% of 200$.
Answer D cannot be related to since we know nothing on Uncle Bob's money.
In the Monopoly world championship, two teams made it to the finals, the Chicago team and the Milwaukee team. Every game, each team can score between 0 and 4 points. The winning team, each game, is the one who earned more points.
There are 100 games in the championship between the teams. The following table represents the scores distribution among the teams.
For example, according to the bottom right square, there were 8 games that both teams received 4 points each.
| - | - | ||||
| - | |||||
| - | - | ||||
1. In how many games was to score 2:3 in favor of Milwaukee?
A. 3.
B. 4.
C. 5.
D. 7.
E. 8.
The best answer is D.
From the data in the question, we need to go to the table and see how many games are in the line 0 and column 1- the answer is 0 games, meaning that there were no games with such a score.
2. In how many games was the score 1:0 in favor of Chicago?
A. 0.
B. 1.
C. 3.
D. 4.
E. 5.
The best answer is A.
From the data in the question, we need to go to the table and see how many games are in the line 3 and column 2- the answer is 7 games.
3. What percent of the total are the games with the score 0:4?
A. 4%.
B. 5%.
C. 7%.
D. 8%.
E. 10%.
The best answer is E.
Prior to the graph, we received sufficient data for this question. We know that there were 100 games in total. Games that ended up in the score 0:4 are 6 games in favor of Milwaukee and 4 games in favor of Chicago. The percent of these games is (10/100), or 10%.
4. In how many games was the sum of the points of both teams over 5?
A. 22.
B. 24.
C. 28.
D. 30.
E. 34.
The best answer is D.
We are looking for games that the sum of the points 6 and up.
The only combinations are 3:3, 4:2, 2:4, 4:3, 3:4 and 4:4.
Sum up these numbers to get: 23 games in total.
5. In how many games was the sum of the points smaller than 3?
A. 16.
B. 20.
C. 24.
D. 28.
E. 32.
The best answer is C.
We are looking for games that the sum of the points is smaller than 3.
The only combinations are: 0:0, 0:1, 1:0, 2:0, 0:2, 1:1.
Sum up these games from the table to get 24 games in total.
6. How many games ended up in a tie?
A. 8.
B. 12.
C. 21.
D. 23.
E. 27.
The best answer is D.
From the data prior to the graph, we know that a team won if she made more points and therefore if two teams made the same amount of points, they're in a tie situation.
The number of tie games is actually the sum of the diagonal of the table.
There were (3+4+8+8 = 23) games that ended up in a tie.
7. Approximately what percent of the games did Chicago win?
A. 15%.
B. 20%.
C. 25%.
D. 30%.
E. 35%.
The best answer is C.
The games that Chicago won are all the games above the diagonal of the table.
The diagonal is the tied games and under the diagonal are all the games that Chicago lost. Sum up these games: (4+2+4+3+1+3+4+3 = 24) games in total.
8. How many games did Milwaukee won where the differences between the points were larger than one?
A. 24.
B. 28.
C. 31.
D. 32.
E. 34.
The best answer is C.
Look under the diagonal of the table, these are the games that Milwaukee won.
We are looking for games that ended up in a score where there is a difference of at least two points between the teams.
The options are: 2:0, 3:0, 4:0, 3:1, 4:1 and 4:2.
Sum up these games: (7+6+4+8+6 = 31).
9. Which team won more games?
A. Chicago.
B. Milwaukee.
C. Both teams won the same number of games.
D. There isn’t enough data to determine the answer.
E. Toronto.
10. In what percent of the games approximately one team scored and the other didn’t?
A. 22%.
B. 27%.
C. 28%.
D. 30%.
E. 32%.
The best answer is D.
The games in which one team scored and the other didn’t is all the games in the first column and the first row except the combinations of 0:0.
There are (4+4+6+7+6 = 27) games.
27 out of 100 are 27%.
Applicants for the musical “Cats”
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