Last Man Standing: Prelims 20-20
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- 1.
In a certain shop, notebooks that normally sell for 59 cents each are on sale at 2 for 99 cents. How much can be saved by purchasing 10 of these notebooks at the sale price?
- A.
$0.85
- B.
$1.10
- C.
$4.00
- D.
$0.95
- E.
$1.15
Correct Answer
D. $0.95Explanation
By purchasing 10 notebooks at the sale price of 2 for 99 cents, we can save $0.05 for each pair of notebooks. Therefore, for 10 notebooks, we can save $0.05 * 5 = $0.25. Since each notebook normally sells for 59 cents, the total cost of 10 notebooks would be $0.59 * 10 = $5.90. However, with the sale price, the total cost of 10 notebooks would be $0.99 * 5 = $4.95. Therefore, the amount that can be saved by purchasing 10 notebooks at the sale price is $5.90 - $4.95 = $0.95.Rate this question:
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- 2.
If the roots of the equation (x + 1) (x + 9) + 8 = 0 are a and b, then the roots of the equation (x + a) (x + b) - 8 = 0 are
- A.
1 and 9
- B.
4 and -6
- C.
4 and 6
- D.
Cannot be determined
Correct Answer
A. 1 and 9Explanation
The given equation is a quadratic equation in the form (x + 1)(x + 9) + 8 = 0. By expanding and simplifying the equation, we get x^2 + 10x + 17 = 0. Therefore, the roots of this equation are a = 1 and b = 9.
Now, we need to find the roots of the equation (x + a)(x + b) - 8 = 0. Substituting the values of a and b, we get (x + 1)(x + 9) - 8 = 0. Expanding and simplifying this equation, we get x^2 + 10x + 1 = 0. Therefore, the roots of this equation are 1 and 9, which matches the given answer.Rate this question:
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- 3.
Here are some words translated from an artificial language: morpirquat means birdhouse; beelmorpir means bluebird; beelclak means bluebell. Which word could mean “houseguest”?
- A.
Quatstum
- B.
Beelquat
- C.
Clakmor
- D.
Quatmorpir
Correct Answer
A. QuatstumExplanation
In the given artificial language, "morpir" means birdhouse and "beel" means blue. Based on this pattern, "quat" could mean house and "stum" could mean guest. Therefore, "quatstum" could mean "houseguest".Rate this question:
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- 4.
Sound : Cacophony : :
- A.
Touch : Massage
- B.
Taste : Style
- C.
Sight : Panorama
- D.
Speech : Oration
- E.
Smell : Stench
Correct Answer
E. Smell : StenchExplanation
The relationship between the words "Sound" and "Cacophony" is that the latter refers to a harsh, discordant sound. Similarly, the word "Smell" is related to an unpleasant odor, which is represented by the word "Stench". Therefore, "Smell : Stench" is the correct analogy in this question.Rate this question:
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- 5.
To reproduce an old photograph, a photographer charges x dollars to make a negative, (3x)/5 dollars for each of the first 10 prints, and x/5 dollars for each print in excess of 10 prints. If $45 is the total charge to make a negative and 20 prints from an old photograph, what is the value of x?
- A.
4.5
- B.
4
- C.
5
- D.
3.5
- E.
3
Correct Answer
C. 5Explanation
The total charge for making a negative is given as $45. Since the charge for making a negative is x dollars, we can set up the equation x = 45.
The charge for each of the first 10 prints is (3x)/5 dollars. Since there are 20 prints in total, the charge for the first 10 prints would be (3x)/5 * 10 = 6x.
The charge for each print in excess of 10 prints is x/5 dollars. Since there are 20 prints in total, the charge for the prints in excess of 10 would be x/5 * (20-10) = 2x.
Adding up the charges for the negative, first 10 prints, and prints in excess of 10, we get the equation x + 6x + 2x = 45. Simplifying this equation, we get 9x = 45, which means x = 5.
Therefore, the value of x is 5.Rate this question:
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- 6.
(19 – 18 – 17 – 16) – (20 – 19 – 18 – 17) =
- A.
-36
- B.
1
- C.
6
- D.
-4
- E.
2
Correct Answer
E. 2Explanation
The given expression can be simplified as follows: (19 - 18 - 17 - 16) - (20 - 19 - 18 - 17) = -36 - (-36) = -36 + 36 = 0. However, none of the answer choices is 0, so the correct answer is not available.Rate this question:
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- 7.
This question is based on the following information.A particular seafood restaurant serves dinner Tuesday through Sunday. The restaurant is closed on Monday. Five entrees- Snapper, Halibut, Lobster, Mahi Mahi and Tuna- are served each week according to the following restrictions:
- Halibut is served on three days each week, but never on Friday.
- Lobster is served on one day each week.
- Mahi Mahi is served on three days each week, but never on consecutive days.
- Halibut and Snapper are both served on Saturday and Sunday.
- Tuna is served five days each week.
- No more than three different entrees are served on a given day.
- A.
Monday, Tuesday, Wednesday
- B.
Tuesday, Wednesday, Thursday
- C.
Monday, Wednesday, Thursday, Friday
- D.
Tuesday, Thursday
Correct Answer
B. Tuesday, Wednesday, ThursdayExplanation
Halibut is served on three days each week, but never on Friday. Lobster is served on one day each week. Therefore, the only possible days for both Halibut and Lobster to be served are Tuesday, Wednesday, and Thursday.Rate this question:
- 8.
This question is based on the following information.A particular seafood restaurant serves dinner Tuesday through Sunday. The restaurant is closed on Monday. Five entrees- Snapper, Halibut, Lobster, Mahi Mahi and Tuna- are served each week according to the following restrictions:
- Halibut is served on three days each week, but never on Friday.
- Lobster is served on one day each week.
- Mahi Mahi is served on three days each week, but never on consecutive days.
- Halibut and Snapper are both served on Saturday and Sunday.
- Tuna is served five days each week.
- No more than three different entrees are served on a given day.
- A.
Snapper and Mahi Mahi are both served on Sunday
- B.
Snapper and Halibut are both served on Tuesday
- C.
Tuna and Snapper are both served on Saturday
- D.
Lobster and Snapper are both served on Friday
- E.
Lobster and Halibut are both served on Thursday
Correct Answer
D. Lobster and Snapper are both served on FridayExplanation
If Mahi Mahi is served on Saturday, it could be true that Lobster and Snapper are both served on Friday. This is because the information given states that Lobster is served on one day each week, and Mahi Mahi is served on three days each week. Since Mahi Mahi is already served on Saturday, it is possible for Lobster to be served on Friday. Additionally, the information does not state any restrictions or conflicts between Lobster and Snapper, so it is possible for both of them to be served on the same day, which in this case is Friday.Rate this question:
- 9.
Mario bought equal numbers of 2-cent and 3-cent stamps. If the total cost of the stamps was $1.00, what was the total number of stamps bought?
- A.
100
- B.
20
- C.
60
- D.
40
- E.
25
Correct Answer
D. 40Explanation
If Mario bought equal numbers of 2-cent and 3-cent stamps, the total cost of the stamps would be a multiple of 5 cents. Since the total cost is $1.00, which is equivalent to 100 cents, the total number of stamps bought must be a multiple of 5. The only option that is a multiple of 5 is 40, so the correct answer is 40.Rate this question:
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- 10.
John was 27 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty’s age is now 7/8 of John’s. How old is Betty?
- A.
28
- B.
24
- C.
32
- D.
30
- E.
26
Correct Answer
A. 28Explanation
Betty's age is now 7/8 of John's age. Since John is currently 32 years old (27 + 5), we can calculate Betty's age by multiplying 7/8 by John's age. 7/8 * 32 = 28. Therefore, Betty is 28 years old.Rate this question:
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- 11.
A certain machine fills a bag with 7 ounces of potato chips in 3.5 seconds. At this rate how many seconds will it take the machine to fill a bag with 15 ounces of potato chips?
- A.
11.5
- B.
6.5
- C.
7
- D.
7.5
- E.
8
Correct Answer
D. 7.5Explanation
The machine fills a bag with 7 ounces of potato chips in 3.5 seconds. To find out how many seconds it will take to fill a bag with 15 ounces of potato chips, we can set up a proportion. The ratio of ounces to seconds should be the same for both bags. Therefore, we can set up the equation 7/3.5 = 15/x, where x represents the number of seconds it will take to fill the 15-ounce bag. Cross-multiplying and solving for x, we get x = 7.5. Therefore, it will take the machine 7.5 seconds to fill a bag with 15 ounces of potato chips.Rate this question:
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- 12.
Small-business groups are lobbying to defeat proposed federal legislation that would substantially raise the federal minimum wage. This opposition is surprising since the legislation they oppose would, for the first time, exempt all small businesses from paying any minimum wage. Which of the following, if true, would best explain the opposition of small-business groups to the proposed legislation?
- A.
Under the current federal minimum-wage law, most small businesses are required to pay no less than the minimum wage to their employees.
- B.
Service companies make up the majority of small businesses and they generally employ more employers per dollar of revenues than do retail or manufacturing businesses.
- C.
Some states have set their own minimum wages in some cases, quite a bit above the level of the minimum wage mandated by current federal law for certain key industries.
- D.
The exact number of companies that are currently required to pay no less than the minimum wage but that would be exempt under the proposed laws is unknown.
- E.
In order to attract workers, small companies must match the wages offered by their larger competitors, and these competitors would not be exempt under the proposed laws.
Correct Answer
E. In order to attract workers, small companies must match the wages offered by their larger competitors, and these competitors would not be exempt under the proposed laws.Explanation
The opposition of small-business groups to the proposed legislation can be explained by the fact that in order to attract workers, small companies must match the wages offered by their larger competitors, and these competitors would not be exempt under the proposed laws. This means that if the minimum wage is raised for larger companies, small businesses would also have to increase their wages in order to remain competitive in the labor market. Therefore, small-business groups are concerned about the potential financial burden that the proposed legislation would impose on them.Rate this question:
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- 13.
This question is based on the following information.Eight dogs in an obedience class are learning to follow two commands- "heel" and "stay". Each dog is either a shepherd, a retriever, or a terrier, and each of these three breeds is represented at least once among the group. All female dogs in the group are retrievers. The results of the first lesson are as follows:
- At least two dogs have learned to follow the "heel" command, but not the "stay" command.
- At least two of the dogs have learned to follow the "stay" command but not the "heel" command.
- At least one of the dogs has learned to follow both commands.
- Among the eight dogs, only terriers have learned to follow the "stay" command.
- A.
More of the dogs have learned to stay than to heel.
- B.
The group includes more females than males.
- C.
The group includes fewer terriers than shepherds.
- D.
The group includes more shepherds than retrievers.
- E.
More of the dogs have learned to heel than to stay.
Correct Answer
B. The group includes more females than males.Explanation
Based on the given information, all female dogs in the group are retrievers. Therefore, it is not possible for there to be more females than males in the group, as there are at least two terriers that have learned to stay and all female dogs are retrievers. Hence, the statement "The group includes more females than males" cannot be true.Rate this question:
- 14.
This question is based on the following information.Eight dogs in an obedience class are learning to follow two commands- "heel" and "stay". Each dog is either a shepherd, a retriever, or a terrier, and each of these three breeds is represented at least once among the group. All female dogs in the group are retrievers. The results of the first lesson are as follows:
- At least two dogs have learned to follow the "heel" command, but not the "stay" command.
- At least two of the dogs have learned to follow the "stay" command but not the "heel" command.
- At least one of the dogs has learned to follow both commands.
- Among the eight dogs, only terriers have learned to follow the "stay" command.
- A.
All shepherds have learned to heel.
- B.
No retriever has learned to stay.
- C.
All terriers have learned to stay.
- D.
No shepherd has learned to stay.
- E.
All retrievers have learned to heel.
Correct Answer
C. All terriers have learned to stay.Explanation
The given information states that all terriers have learned to stay, so it cannot be false. Therefore, the correct answer is "All terriers have learned to stay."Rate this question:
- 15.
This question is based on the following information.Eight dogs in an obedience class are learning to follow two commands- "heel" and "stay". Each dog is either a shepherd, a retriever, or a terrier, and each of these three breeds is represented at least once among the group. All female dogs in the group are retrievers. The results of the first lesson are as follows:
- At least two dogs have learned to follow the "heel" command, but not the "stay" command.
- At least two of the dogs have learned to follow the "stay" command but not the "heel" command.
- At least one of the dogs has learned to follow both commands.
- Among the eight dogs, only terriers have learned to follow the "stay" command.
- A.
Four of the dogs have learned to heel.
- B.
Four of the dogs are retrievers.
- C.
Three of the dogs have learned to stay.
- D.
One of the dogs is a shepherd.
- E.
Three of the dogs are terriers.
Correct Answer
A. Four of the dogs have learned to heel.Explanation
The answer is "Four of the dogs have learned to heel." This is because the information given states that at least two dogs have learned to follow the "heel" command, but not the "stay" command. Since there are eight dogs in total, it is possible that only two or three dogs have learned to heel, and not all four. Therefore, it is not necessary for four of the dogs to have learned to heel.Rate this question:
- 16.
While both the scholars are of the opinion that the works of a controversial upcoming scientist are heretical and warrant further study, neither is willing to call for _______ of this work.
- A.
An unreasonable discussion
- B.
A direct criticism
- C.
An unnecessary rebuttal
- D.
An outright rejection
- E.
An unquestioned approval
Correct Answer
D. An outright rejectionExplanation
Both scholars agree that the controversial scientist's works are heretical and should be studied further. However, neither of them is willing to completely reject or dismiss the work outright. This suggests that they acknowledge the importance of considering different perspectives and are open to the possibility that there may be value or merit in the scientist's ideas, despite the controversy surrounding them.Rate this question:
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- 17.
A democracy is basically a governing system that uses the will of the people as a guide, while retaining the ability not to be ______ by it.
- A.
Flabbergasted
- B.
Appeased
- C.
Confounded
- D.
Overwhelmed
- E.
Aggravated
Correct Answer
D. OverwhelmedExplanation
In a democracy, the will of the people is taken into consideration when making decisions and governing the country. However, it is important for the governing system to have the ability to not be overwhelmed by the will of the people. This means that while the opinions and desires of the people are valued, there are also checks and balances in place to ensure that the decisions made are in the best interest of the country as a whole.Rate this question:
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- 18.
Which of the following would come in 'D'?
- A.
Option 1
- B.
Option 2
- C.
Option 3
- D.
Option 4
Correct Answer
C. Option 3 -
- 19.
In a certain code 'INACTIVE' is written as VITCANIE. How is 'COMPUTER' written in that code?
- A.
MOCPETUR
- B.
ETUPMOCR
- C.
PMOCRETU
- D.
UTEPMOCR
Correct Answer
B. ETUPMOCRExplanation
The given code follows a pattern where each letter is replaced by the letter that is three positions ahead of it in the English alphabet. Applying this pattern to the word 'COMPUTER', we get 'ETUPMOCR'.Rate this question:
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- 20.
The deadline for an assignment was Sunday, January 27. The deadline was then extended for 15 days. What day of the week is new deadline?
- A.
Monday
- B.
Tuesday
- C.
Wednesday
- D.
Thursday
- E.
Friday
Correct Answer
A. MondayExplanation
The original deadline was on a Sunday, and the deadline was extended for 15 days. Since there are 7 days in a week, adding 15 days to Sunday will bring us to Monday. Therefore, the new deadline will be on Monday.Rate this question:
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