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25 Feb 2026, 21:53
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Bookmarks
| Problem Solving Butler: February 2025 | ||
| February 26 | PS 1 | PS 2 |
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PS 1
In a group of 150, 70 speak English, 90 speak German, and 60 speak French. If 40 speak English and German, 30 speak French and German, 25 speak English and French, and 5 speak all the three, how many speak exactly two of the three languages?
A. 50
B. 60
C. 70
D. 80
E. 90
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PS 2
What is the smallest positive integer that must be added to 1,000 so that the resultant number leaves remainders of 1, 2, and 4 when divided by 4, 5, and 7 respectively?
A. 97
B. 107
C. 117
D. 127
E. 137
25 Feb 2026, 21:58
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| Critical Reasoning Butler: February 2025 | ||
| February 26 | CR 1 | CR 2 |
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CR 1
Most tenants living in apartments do not stay in one location for very long, moving to a new building every few years. However, the Eyre Apartments Housing Complex is well-known for retaining its tenants. Eyre Apartments’ building manager credits this success to the close-knit, cooperative community environment that the company has fostered in its housing complex.
Which of the following, if true, most strongly supports the Eyre Apartments Housing Complex’s explanation of its success in retaining tenants?
A. Some tenants living in apartments move to a new building if they become bored with their current neighborhood.
B. The cost of living in Eyre Apartments is relatively low compared to other housing complexes nearby.
C. Many of Eyre Apartments’ oldest tenants had previously lived in only one other housing complex.
D. In a cooperative community environment, people avoid behaving in a way that might threaten group harmony and thus avoid mentioning to their fellow tenants any dissatisfaction they might have with their accommodations.
E. A non-cooperative community environment hinders the communication between the tenants and the building managers that tenants consider necessary for a comfortable living situation.
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CR 2
The Peregrine Foundation is a private, non-profit leukemia research institute. In the last ten years, the foundation has received an increased amount of donations, and the cost of conducting research has decreased. Yet, the quality of research produced by the foundation has fallen. Meanwhile, the quality of research conducted by most other leukemia-research organizations has risen. Clearly, over the past ten years, The Peregrine Foundation must have become a self-serving and wasteful organization.
Which of the following, if true, would most seriously weaken the conclusion reached in the passage?
A. Many other private, non-profit organizations involved in leukemia research provide financial relief to leukemia patients, in addition to conducting research.
B. Ten years ago, the quality of research produced by The Peregrine Foundation was better than that of other private, non-profit organizations involved in leukemia research.
C. The average salaries of scientists and medical professionals employed by The Peregrine Foundation are slightly higher than those of doctors and scientists employed by other private, non-profit organizations involved in leukemia research.
D. Over the past ten years, the percentage of the donations received by The Peregrine Foundation spent on research has risen, while the percentage spent on the management of the foundation has fallen.
E. Over the past ten years, the increase in the absolute amount of donations received by The Peregrine Foundation has averaged approximately five percent more than the local rate of inflation.
25 Feb 2026, 22:01
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| Data Sufficiency Butler: February 2025 | ||
| February 26 | DS 1 | DS 2 |
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DS 1
If the average (arithmetic mean) energy per device needed to run 3 wall lamps and 1 floor lamp simultaneously for 30 minutes was 35 watts-hours, how much energy was consumed by the floor lamp for that time?
(1) The wall lamp that consumed the most energy consumed 20 watts-hours more than the one that consumed the least.
(2) The average energy consumption per device for the 3 wall lamps was 40 watts-hours.
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DS 2
One school building serves as a combined grade school, middle school, and high school for a small town. The number of high schoolers who study in the building is twice the number of grade schoolers and 50 more than the number of middle schoolers. In all, how many students study in this building?
(1) The number of grade schoolers and middle schoolers in the building is 130.
(2) The probability of a randomly selected student being a high schooler are 12/25.
I would be appreciated
