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17 Jun 2026, 20:43
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| Problem Solving Butler: June 2026 | ||
| June 18 | PS 1 | PS 2 |
_____________________
PS 1
Allison takes Blaise out to the ballgame and buys two bags of peanuts and three boxes of Cracker Jack for $12.75. At the seventh inning stretch, Blaise buys four boxes of Cracker Jack and three bags of peanuts for $17.50. How much does one bag of peanuts and one box of Cracker Jack cost?
(A) $3.75
(B) $4.25
(C) $4.50
(D) $4.75
(E) $5.75
_____________________
PS 2
If 2x = 7 - y and -15 - 2x = 3y, what is the value of xy?
(A) -99
(B) -6
(C) 33/20
(D) 6
(E) 99
17 Jun 2026, 20:46
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| Critical Reasoning Butler: June 2026 | ||
| June 18 | CR 1 | CR 2 |
______________________
CR 1
A certain town’s pizza shop initiated an advertising campaign to bring in new customers and increase sales in December. The advertising campaign consisted of sending emails that promoted a two-for-one deal on sheet pizzas. Even though the pizza shop sent out thousands of these email advertisements, sales remained about the same in December as they had been in previous months.
Which of the following, if true, most helps to explain the apparent discrepancy between the volume of advertisements and the volume of sales?
(A) The emails did not list every type of pizza on the pizza shop’s menu.
(B) In December, a new coffee shop opened in the same neighborhood as the pizza shop.
(C) Not every resident in the pizza shop’s delivery area had an email address.
(D) The pizza shop had email addresses only for customers who were members of its rewards club, which offers members weekly specials.
(E) The other two pizza shops in town specialize in gourmet pizzas, which are more expensive on average than items on this pizza shop’s menu.
______________________
CR 2
A team of pediatricians recently announced that dogs are more likely to bite children under age 13 than any other age group. Their finding was based on a study showing that the majority of all dog bites requiring medical attention involved children under 13. The study also found that the dogs most likely to bite are German shepherds, males, and non-neutered dogs.
Which of the following, if true, would most weaken the pediatricians' conclusion that dogs are more likely to bite children under age 13 than any other age group?
(A) More than half of dog bites not requiring medical attention, which exceed the number requiring such attention, involve people aged 13 and older.
(B) The majority of dog bites resulting in the death of the bitten person involve people aged 65 and older.
(C) Many serious dog bites affecting children under age 13 are inflicted by female dogs, neutered dogs, and dogs that are not German shepherds.
(D) Most dog bites of children under age 13 that require medical attention are far less serious than they initially appear.
(E) Most parents can learn to treat dog bites effectively if they avail themselves of a small amount of medical information.
17 Jun 2026, 20:48
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| Data Sufficiency Butler: June 2026 | ||
| June 18 | DS 1 | DS 2 |
______________________
DS 1
A food truck earns a profit of $7 for each smoothie it sells and $2 for each cookie it sells. Yesterday, the truck sold only smoothies and cookies, for a total of 150 items. Was the truck’s profit from these sales more than $650?
(1) Smoothies accounted for less than half of the items sold yesterday.
(2) At least 83 of the items sold yesterday were cookies.
______________________
DS 2
A logistics coordinator planned a delivery route for a truck. Before the route was driven, she estimated the distance the truck would travel and the amount of fuel it would use, and from those estimates she calculated an estimated fuel efficiency in kilometers per liter. After the route was completed, the actual fuel efficiency was calculated from the actual distance driven and the actual amount of fuel used. Did the estimated fuel efficiency differ from the actual fuel efficiency by at most 20% of the actual fuel efficiency?
(1) The estimated distance differed from the actual distance by at most 20% of the actual distance, and the estimated fuel use differed from the actual fuel use by at most 20% of the actual fuel use.
(2) The coordinator overestimated the distance by 100 kilometers and underestimated the fuel use by 10 liters.
