UCAT Decision Making Test #1 â Questions and Answers
Question 1: Five travelers wearing shirts and caps of various colorsâblue, green, brown, yellow, and redâcame from China, Italy, Germany, France, and America. <br> No two visitors wore matching caps or shirts. <br> The tourist from France wore a green shirt. Her hat wasn't either blue or red. <br> The tourist from America sported a red shirt. <br> The traveler from Italy had a brown hat. Her clothing matched the color of the French tourist's cap exactly. <br> Which of the ensuing assertions is accurate?
- The American tourist wore a red hat
- The Italian tourist wore a red shirt.
- The Chinese tourist wore a blue or brown shirt. (Correct answer)
- The American tourist wore a yellow hat.
Correct answer: The Chinese tourist wore a blue or brown shirt.
By systematically deducing based on the clues, we find that the French tourist wore a green shirt and a yellow hat, the American tourist a red shirt, and the Italian tourist a brown hat and a yellow shirt. This leaves blue and brown as the only remaining shirt colors for the Chinese and German tourists. Therefore, the Chinese tourist must wear either a blue or a brown shirt, making option C the accurate assertion.
Question 2: Each of Carlo, Samantha, Dan, Rose, and Marie has an automobile. The colors of the cars are either red, blue, or green. <br> The remaining nine vehicles are sedans, with three hatchbacks. <br> Green sedans are all present. <br> Hatchbacks come in red or blue colors. <br> There are no hatchbacks for Marie and Carlo. <br> Only Drake owns a blue automobile out of Samantha, Dan, and Rose. <br> Which of the ensuing assertions is accurate?
- There are two blue cars
- Rose has a red sedan.
- Samantha has a red hatchback (Correct answer)
- There are three red cars.
Correct answer: Samantha has a red hatchback
Based on the clues, Marie and Carlo have sedans, and Dan has a blue car, while Samantha and Rose do not. All green cars are sedans, and hatchbacks are either red or blue. If Samantha has a red hatchback, this is consistent with the rules (hatchbacks can be red). This deduction allows for a consistent assignment of car types and colors for all individuals, making it the correct assertion among the choices.
Question 3: Should the voting age be lowered to 16 in order to combat the problem of low voter turnout? <br> From the statements below, pick the one that makes the most sense.
- The number of persons eligible to vote will increase if 16-year-olds are given the vote.
- Yes, if people under the age of 18 can vote, lawmakers will pay attention to them and take their concerns into account.
- No, there is no certainty that expanding the voting age will result in a higher voter turnout. (Correct answer)
- No, 16-year-olds are not politically aware enough to make an informed decision.
Correct answer: No, there is no certainty that expanding the voting age will result in a higher voter turnout.
The question asks for the most sensible statement regarding lowering the voting age to combat low voter turnout. While lowering the age would increase the number of eligible voters, it does not guarantee an increase in the *percentage* of voter turnout. Option C directly addresses the stated goal by highlighting that there is no certainty this measure would achieve a higher voter turnout, making it the most direct and sensible response to the specific problem posed.
Question 4: Should "fast food" restaurants be prohibited from selling junk food to kids during school hours in order to promote the health of children? <br> From the statements below, pick the one that makes the most sense.
- No, lunchtimes are too brief, and it's crucial that there be a place where kids can receive cheap food if they can't eat at home.
- No, this will decrease the amount of customers that "quick food" restaurants have and might even drive the owners out of business, which would increase unemployment.
- Yes, junk food plays a significant role in children's weight and poor health, which may limit their capacity to profit from their afternoon classes. (Correct answer)
- Yes, students who leave school to visit fast food restaurants during lunch will certainly cause trouble in their neighborhood since they won't be supervised.
Correct answer: Yes, junk food plays a significant role in children's weight and poor health, which may limit their capacity to profit from their afternoon classes.
The question asks for the most sensible statement in favor of prohibiting junk food sales to children during school hours, specifically to promote child health. Option C directly links junk food consumption to negative health outcomes like weight gain and poor health, and further connects this to a potential impact on their academic performance. This provides a strong, health-focused rationale that aligns directly with the stated goal of promoting children's health.
Question 5: The following tasks were assigned to Brado, Kath, Norie, and Sandra: data entry, listing tasks, validation tasks, and exit criteria. Each of these tasks took 5, 7, 11, and 16 hours to complete (not in any order). <br> Kath focused on tasks related to listing or validation. <br> Together, Sandra and Norie took a full hour longer to finish their assignment than Brado. <br> The activity that required the most time was validation duties. <br> Norie focused on data entry while Sandra finished her task in less time than Norie did. <br> <br> Which of the ensuing assertions is accurate?
- Kath completed his task of listing tasks in 16 hours
- Kath completed his task of validation tasks in 16 hours (Correct answer)
- Brando completed his task of listing tasks in 7 hours
- Norie completed his task of data entry in 11 hours.
Correct answer: Kath completed his task of validation tasks in 16 hours
From the clues, 'Validation duties' took 16 hours, and Kath was assigned either 'listing' or 'validation' tasks. Also, Norie did 'data entry' and Sandra finished her task in less time than Norie. By testing the possible hours (5, 7, 11, 16), we deduce that Norie took 7 hours for data entry, Sandra took 5 hours, and Brado took 11 hours. This leaves Kath with the 16-hour task, which must be validation, making option B correct.
Question 6: There are either adults or kids among the 27 participants in the club. <br> Three more men than women are present. <br> Males make up 12 of the 16 adults. <br> In the club, how many boys are there?
- 2
- 3 (Correct answer)
- 6
- 7
Correct answer: 3
We are given 27 total participants, 16 adults (12 male, 4 female), and that there are 3 more men than women overall. From this, we deduce there are 11 children (27-16). Calculating total men and women (M+W=27, M=W+3) gives 15 men and 12 women. Since there are 12 adult males, the number of boys (child males) is 15 (total men) - 12 (adult males) = 3.
Question 7: Samatha, Kelly, Naneth and Neri had a vacation. Each person engaged in a beach activity, such as snorkeling, sea walking, jet skiing, or scuba diving. These events cost $30, $40, $65 and $75 each (not in any order). <br> Despite spending $10 more than Neri, Kelly did not spend the most money on his activities. <br> Although Naneth didn't go jet skiing, her pastime was less expensive than Samantha's. <br> Kelly did not choose a sea walk as his beach pastime; Neri chose snorkeling. <br> <br> Who received $75 for their work?
- Naneth
- Kelly
- Neri
- Samatha (Correct answer)
Correct answer: Samatha
The clue 'Kelly spent $10 more than Neri, but did not spend the most money' (most is $75) means Neri spent $30 and Kelly spent $40. The remaining costs are $65 and $75. Since 'Naneth's pastime was less expensive than Samantha's,' Naneth must have spent $65 and Samantha $75. Therefore, Samantha received $75 for her work.
Question 8: Ice cream bowls are sold by Jeremy. Any meal can have up to three distinct flavors. <br> He makes the choice to add another flavor. <br> Is eight the maximum number of additional ice cream dishes with up to three flavors that Jeremy can sell?
- Yes, as there are 8 more dishes from the total of 14 - 6.
- No, there will be 7 more dishes from 3 + 3 + 1. (Correct answer)
- Yes, as there are 15 extra dishes in addition to the 4 + 6 + 4 + 1 dishes.
- No, there will be 4 additional servings because there are 4 flavors in all.
Correct answer: No, there will be 7 more dishes from 3 + 3 + 1.
Assuming Jeremy initially had 3 flavors, the number of unique dishes with up to three flavors is C(3,1) + C(3,2) + C(3,3) = 3 + 3 + 1 = 7 dishes. When he adds a fourth flavor, the total number of flavors becomes 4. The new number of unique dishes with up to three flavors is C(4,1) + C(4,2) + C(4,3) = 4 + 6 + 4 = 14 dishes. Therefore, the number of *additional* dishes Jeremy can sell is 14 - 7 = 7, not 8.
Question 9: A biased six-sided die is used in a game that X and Y play. <br> Some numbers are more likely to be rolled than others on a biased dice. <br> Whoever throws a six first wins. <br> First pitch is by X. <br> <br> No matter how skewed the dice, X and Y have an identical probability of winning.
- Yes, the bias of the dice has no impact on the likelihood of any given throw.
- No, X has a better probability of succeeding because Y can only succeed if X loses on his turn. (Correct answer)
- No, the odds are in favor of X when the dice are skewed toward a six.
- They do have the same chance of throwing a six when it is their turn because they are using the identical dice.
Correct answer: No, X has a better probability of succeeding because Y can only succeed if X loses on his turn.
No, X and Y do not have an identical probability of winning. Since X pitches first, X has the immediate advantage of the first opportunity to roll a six and win. Y only gets a chance to roll if X fails on their turn. This sequential nature means X always has the first shot in each round of turns, giving them a higher probability of winning, regardless of the die's bias.
Question 10: Should society ultimately be in charge of the care of elderly people when they are no longer physically or mentally capable of taking care of themselves, rather than family members? <br> From the statements below, pick the one that makes the most sense.
- No, everyone has a life to live; the elderly should not rely on society or family members to take care of them; instead, they should save money and cover the cost of any later-in-life care they may require.
- Yes, families should support and assist the elderly when they can, but if they are unable to do so, society as a whole should step in to assure their well-being. (Correct answer)
- Yes, much though they would like to, untrained family members find it difficult to support mentally ill people.
- No, if society stopped being involved in this way, families would have to stick together to take care of their relatives, both young and elderly, on their own.
Correct answer: Yes, families should support and assist the elderly when they can, but if they are unable to do so, society as a whole should step in to assure their well-being.
Explanation: <br> Both society and family are mentioned. It acknowledges that although family members may ultimately be in charge of providing care, there are times when they are unable to do so or may not even exist, in which case society should voluntarily take action to make sure the old person is taken care of.
Question 11: Ara works as a science advisor. She traveled to China to provide an English-language workshop on science communication for Chinese science teachers. <br> Nine out of 10 of the teachers Ara encountered there were eager to speak English. <br> According to a report Ara prepared, 90% of Chinese science professors wanted to speak English. Was Ara right to make this claim?
- She is generalizing from a sample
- Yes, since 90% of 9 out of 10 conversions are positive.
- No, as some of the persons speaking to her would be choosing to do so. (Correct answer)
- Yes, since nine out of ten is 90 percent.
Correct answer: No, as some of the persons speaking to her would be choosing to do so.
Explanation: <br> Since non-English speakers would be significantly less eager to speak English, the 90 percent results from a selection effect.
UCAT Decision Making Test #1
Five travelers wearing shirts and caps of various colorsâblue, green, brown, yellow, and redâcame from China, Italy, Germany, France, and America.
No two visitors wore matching caps or shirts.
The tourist from France wore a green shirt.
Her hat wasn't either blue or red.
The tourist from America sported a red shirt.
The traveler from Italy had a brown hat.
Her clothing matched the color of the French tourist's cap exactly.
Which of the ensuing assertions is accurate?