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13 Jan 2026, 20:23
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| Problem Solving Butler: January 2025 | ||
| January 14 | PS 1 | PS 2 |
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PS 1
The value of \((\frac{4}{5})^{(\frac{1}{10})}\) is closest to which of the following?
A. 1
B. 1/2
C. 0
D. –1/2
E. –1
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PS 2
What is the digit at the units place in the total integer value of 27^31 – 19^27 ?
A. 0
B. 2
C. 4
D. 6
E. 8
13 Jan 2026, 20:26
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| Critical Reasoning Butler: January 2025 | ||
| January 14 | CR 1 | CR 2 |
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CR 1
By restricting roads leading through residential areas to just private vehicles and commercial vehicles specifically authorized to travel through residential areas, most commercial traffic would be forced onto alternate routes. A reduction in the volume of commercial traffic would ease traffic gridlocks in residential areas.
The conclusion drawn in the argument depends on which of the following assumptions?
A) Alternate routes would be as suitable as the roads leading through residential areas for most drivers of commercial vehicles.
B) Most commercial vehicles that use the roads leading through residential areas are not authorized to travel through residential areas.
C) Most alternate routes are not suitable for private traffic
D) Private vehicles are at greater risk of getting caught in traffic gridlocks than are commercial vehicles.
E) Eventually, reduction in traffic gridlocks will lead to increases in private traffic.
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CR 2
Economist: Operating a store in a shopping mall generally generates more value for owners than running a standalone shop outside a shopping mall does, due to the economies of scale. Store owners who operate out of the same mall can collectively bear the cost for services that would be unaffordable to them individually. Moreover, since a specialized cleaning company handles the upkeep of common areas, storeowners in a shopping mall spend less time and resources on maintenance that owners of standalone shops do.
The two portions in boldface play which of the following roles in the economist’s argument?
(A) The first is a premise, for which no evidence is provided; the second is the only conclusion of the argument.
(B) The first is a conclusion that supports the second; the second is the main conclusion of the argument.
(C) The first is the only conclusion of the argument; the second is a premise, for which no support is provided.
(D) The first is the main conclusion of the argument; the second is another conclusion that supports the first.
(E) Both are premises, for which no support is provided, and both support the only conclusion of the argument.
13 Jan 2026, 20:29
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| Data Sufficiency Butler: January 2025 | ||
| January 14 | DS 1 | DS 2 |
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DS 1
Which burns for longer, a candle made of 100 grams of beeswax or one made of 100 grams of soy wax?
(1) A candle made of 100 grams of beeswax burns longer than a candle made of 80 grams of soy wax.
(2) A candle made of 100 grams of soy wax burns for shorter than a candle made of 80 grams of beeswax.
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DS 2
The per sofa selling price at a showroom this year was $40 more than this price last year. What was the revenue of the showroom last year?
(1) The showroom sold 20% more number of sofas this year than it did last year.
(2) The showroom earned $30,000 more revenue this year than it did last year.
