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06 Jan 2026, 22:43
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| Data Sufficiency Butler: January 2025 | ||
| January 7 | DS 1 | DS 2 |
______________________
DS 1
The ratio of the number of women to men to children in a group is 3 : 5 : 9. What is the number of children in the group?
(1) The total number of people in the group is between 60 and 70.
(2) There are more than 15 but less than 25 men in the group.
______________________
DS 2
In the Fortune Frenzy national lottery, a fixed annual cash prize is set initially. For each year that the prize goes unclaimed, an additional $50 million is added to the prize pool for the following year. How much is the fixed annual cash prize set initially?
(1) If the prize goes unclaimed for the first 9 years, the cash prize available for the 10th year will be thrice as large as the prize available for the first year.
(2) If the prize goes unclaimed for the first 5 years, the cash prize available for the 6th year will be $475 million.
06 Jan 2026, 22:48
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| Critical Reasoning Butler: January 2025 | ||
| January 7 | CR 1 | CR 2 |
____________________________
CR 1
In the early 2000s, the incident rate of banking scams in European nations that mandated quarterly bank audits was forty percent higher than that in European nations that have never mandated quarterly bank audits. Thus, one way to bring down the rate of banking scams is to repeal the mandate on quarterly bank audits.
Which of the following, if true, would most weaken the argument above?
A. The annual incident rate of political scams is lower in European nations mandating quarterly bank audits than in European nations without such a mandate.
B. In European nations mandating quarterly bank audits, few banks are penalized for not getting audited every quarter.
C. In European nations without quarterly bank audits, many banks get themselves audited every quarter.
D. The annual incident rate of banking scams in European nations mandating quarterly bank audits has decreased since quarterly bank audits were mandated.
E. Less than half the clients of banks who operate in European nations with quarterly bank audits have their books audited every quarter.
____________________________
CR 2
In 2016, Bob Dylan was awarded the Nobel Prize for Literature for his collective body of songwriting work. However, since songs must be performed in a musical meter, songwriters must ply their craft with an eye to the musicality of their work. For this reason, songwriting is not literature.
Which of the following is an assumption that supports drawing the conclusion above from the reason given for that conclusion?
A. Writing is not literature if its writer pays attention to the musicality of one’s work.
B. Some songwriters are more concerned than others with the musicality of the work they produce.
C. Songwriters should be more concerned with the musicality of their work than they currently are.
D. Some songs are written as an artistic experiment and are not meant to be sung.
E. Writers who produce literature are not concerned with their work’s monetary value.
06 Jan 2026, 22:51
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| Problem Solving Butler: January 2025 | ||
| January 7 | PS 1 | PS 2 |
__________________________
PS 1
What is the remainder when 131^51 is divided by 11?
A. 1
B. 3
C. 5
D. 7
E. 10
__________________________
PS 2
What is the number of zeroes at the right end in the integer value of 200!/100! ?
A. 0
B. 20
C. 24
D. 25
E. Greater than 25
