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Data Sufficiency Butler: June 2025
June 18DS 1DS 2

___________________________________
DS 1

What is Mary’s age?

(1) In two years, Mary will be twice as old as Beth is now.
(2) Susan’s age is the average of Mary’s and Beth’s ages.
____________________________________
DS 2

What are the individual prices of three cameras?

(1) The three cameras have an average price of $172.
(2) Two are the same price and sell for $332 together
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Bunuel
Problem Solving Butler: June 2025
June 18PS 1PS 2

____________________________
PS 1

Three friends split their dinner bill such that Shay paid $7 less than half the total bill, Ashley paid $8 more than 1/4 the total bill, and Jenna paid the remaining $20. How much was the total bill?

A. $72
B. $76
C. $80
D. $84
E. $88

____________________________
PS 2

In the sequence \(a_n = (x + (–1)^{(n –1)})(a_{n–1})\) and \(a_1 = 1\), which of the following expresses a4?

A. \(x^2 – 1\)
B. \(x^3 – x^2 – x + 1\)
C. \(x^3 + x^2 + x – 1\)
D. \(x^4 – 2x^2 + 1\)
E. \(x^4 + 2x^2 – 1\)
Both D?
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Bhaskarjya
Both D?
PS1 - D , PS2 - B
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C
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Abhijeet089
PS1 - D , PS2 - B
Ya the second one I got it as soon as I answered it wrong 🤦‍♂️
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D

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D
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