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03 Sep 2025, 00:00
Kudos
Bookmarks
| Data Sufficiency Butler: September 2025 | ||
| September 3 | DS 1 | DS 2 |
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DS 1
A jar contains 100 glass beads, of which 56 are pink and 44 are blue. If 24 beads are removed from the jar, how many of the beads remaining are blue?
(1) After the 24 beads are removed, the number of pink beads remaining in the bag equals the number of blue beads remaining in the bag.
(2) Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.
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DS 2
The cost of all items of type 1 is exactly the same, and the cost of all items of type 2 is exactly the same. Is the cost of one item of type 1 less than the cost of one item of type 2?
(1) The total cost of 6 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 8 items of type 2.
(2) The total cost of 5 items of type 1 and 4 items of type 2 is less than the total cost of 4 items of type 1 and 5 items of type 2.
03 Sep 2025, 00:03
Kudos
Bookmarks
| Critical Reasoning Butler: September 2025 | ||
| September 3 | CR 1 | CR 2 |
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CR 1
Seafood restaurants in Snare Island generally serve only fish caught in the waters around Snare Island since inhabitants are accustomed to the distinctive taste of Snare fish. Nevertheless, fishermen from Chinua, a nearby island, plan to sell Snare Island residents fish caught in Chinuan waters by selling at a lower price than that of Snare fish and marketing it as a low-fat alternative.
Which of the following, if true, casts most doubt on the viability of the plan by Chinua's fishermen to sell their fish in Snare Island?
(A) Many of the species of fish caught by Snare Island fishermen and Chinuan fishermen are closely related.
(B) Consumers in Snare Island eat fish in restaurants about as often as do consumers in Chinua.
(C) At times in the past, Snare Island fishermen have sold much of their catch to buyers in Chinua.
(D) The warmer climate in Chinua allows Chinuan fishermen to harvest fish more months of the year than can Snare Island fishermen.
(E) Most Snare Island residents are not concerned about their diet and believe that locally-caught fish are low-fat.
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CR 2
Which of the following most logically completes the argument below?
When malaria rates in a tropical country are high, drug companies reduce the cost of many kinds of anti-parasite medications. The reason is that drug companies want to take in as much money as possible in medication sales so that they can invest the money into research for more profitable drugs. Anti-parasite drug cost reductions are likely to achieve this objective since __________.
(A) when prices decrease, more companies enter the market with competing anti-parasite drugs
(B) drug companies that spend a smaller percentage of revenues on research are unable to take advantage of anti-parasite drug cost reductions for this reason
(C) many more people will purchase anti-parasite medications if the price is lower than if the price remained the same
(D) an increase in the number of anti-parasite drugs sold raises the likelihood that some species of parasite will mutate so that the drug is not effective against it
(E) resulting research is unlikely to result in a malaria vaccine
03 Sep 2025, 00:06
Kudos
Bookmarks
| Problem Solving Butler: September 2025 | ||
| September 3 | PS 1 | PS 2 |
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PS 1
At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 50% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
A. 4/25
B. 8/23
C. 2/5
D. 8/15
E. 2/3
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PS 2
If \(3x^2 + 2x + 9 = 2x^2 + 9x + 3\), what all the possible values of x ?
A. -6 and -1
B. -6 and 1
C. -1 and 6
D. 1 and 6
E. it cannot be determined from the information given.
