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Data Sufficiency Butler: April 2025
April 8DS 1DS 2

______________________
DS 1

A cafe tracked the number of online orders over three consecutive days. If on the second day, the number of orders was greater than it was on the first day, and on the third day, the number of orders was less than it was on the second day, was the number of online orders on the third day greater than the number on the first day?

(1) The percent increase in the number of online orders from the first day to the second day was greater than the percent decrease in the number of online orders from the second day to the third day.

(2) The percent increase in the number of online orders from the first day to the second day was three times the percent decrease in the number of online orders from the second day to the third day.
______________________
DS 2

For a production run, the number of inspection hours required, h, is given by h = 14 + p/80, where p is the number of units produced in the run. If one production run was completed on each of two days, Monday and Tuesday, how many more inspection hours were required for the Tuesday production run than for the Monday production run?

(1) The ratio of the number of units produced on Tuesday to the number produced on Monday was 3:1.
(2) 560 more units were produced on Tuesday than on Monday.
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PS1 - D
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PS1 - B
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Problem Solving Butler: April 2025
April 9PS 1PS 2

_______________________
PS 1

Among the following functions, for which one is f(a – b) = f(a) * f(–b) for all integer values of a and b?

A. f(t) = t/10
B. f(t) = t + 10
C. f(t) = 10t
D. f(t) = 10^t
E. f(t) = t^10

_______________________
PS 2

The compensation of person A is a fixed salary of $3,000 plus $30 for each additional computer sold after the first 40. The compensation of person B is straightaway $60 per computer sold. For a sale of how many computers each is the compensation of A 25% more than that of B?

A. 30
B. 40
C. 50
D. 60
E. 70
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Critical Reasoning Butler: April 2025
April 9CR 1CR 2

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CR 1

Last year the total amount of bonuses offered by Xio Technologies reached a historic peak. Now, many wonder if this year will see a new record. All bonuses are given either to existing employees during their annual appraisals or to new, as a joining bonus. This year, the management has not been as generous in awarding annual bonuses as it was last year. Moreover, this year’s recruitment calendar indicates that the number of new employees joining the firm will be lower this year than it was the previous year, and new recruits this year will definitely receive no higher joining bonus per employee than did those who joined last year. Hence, it can be established that the total amount of bonuses distributed this year will not outdo last year’s record.

In the argument given, the two portions in boldface play which of the following roles?

(A) The first is an objection rejected by the argument; the second is the argument’s main conclusion.
(B) The first is an objection rejected by the argument; the second presents a conclusion that could be drawn if that objection were allowed to stand.
(C) The first is a claim advanced to support a position opposed by the argument; the second is a claim advanced to support the argument’s main conclusion.
(D) The first is a prediction that, if accurate, would support the argument’s main conclusion; the second is that main conclusion.
(E) The first is a prediction that, if accurate, would support the argument’s main conclusion; the second is a conclusion the argument draws to support that main conclusion.
_______________________
CR 2

Medical article: Detailed psychological interviews with hundreds of physicians have shown that those who rated their attitude towards patients highly also reported higher levels of job satisfaction. This finding suggests that a better attitude towards patients helps physicians avoid circumstances that can lower job satisfaction.

In evaluating how strong the article’s argument is, it would be most useful to know whether

A. physicians rate their attitude towards patients higher than a professional assessment from their superiors would
B. physicians’ assessment of their own attitude towards patients may be influenced by factors they are ignorant of
C. physicians’ rating of their attitude towards patients tends to fall for some time during interactions with uncooperative patients
D. low job satisfaction has a significant negative impact on physicians’ attitude towards patients
E. beyond a certain level, maintaining a good attitude towards patients tends to lower physicians’ job satisfaction
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Data Sufficiency Butler: April 2025
April 9DS 1DS 2

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DS 1

A bakery packed 150 dessert boxes in two batches. If each box contained between 2 and 5 eclairs, inclusive, was the average (arithmetic mean) number of eclairs per box greater than 3.5?

(1) The median number of eclairs per box was 4.5.
(2) The second batch contained 110 boxes and had an average (arithmetic mean) of 4.2 eclairs per box.
______________________
DS 2

At a print shop, premium brochures cost $14 each and standard flyers cost $9 each. For an event, Nora ordered only premium brochures, and Eli ordered only standard flyers. How many premium brochures did Nora order?

(1) If Nora had ordered as many premium brochures as Eli ordered standard flyers, Nora’s order would have cost $45 more than Eli’s order.
(2) If Nora had ordered standard flyers instead, in the same quantity as the premium brochures she actually ordered, her total cost would have been $35 less.
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Problem Solving Butler: April 2025
April 10PS 1PS 2

_______________________
PS 1

If abc < 0 and bcd > 0, which of the following is definitely negative ?

A. \(a^2b^3c^3d\)

B. \(a^2b^4c^4d^2\)

C. \(a^3b^4c^5d\)

D. \(a^3b^4c^4d\)

E. \(a^3b^5c^4d^2\)

_______________________
PS 2

If |3 – x| < x + 5, which of the following may be true about x ?

I. x > –1
II. x < 2
III. x < –2

A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
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