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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A certain library assesses fines for overdue books as tagged by: BTGmoderatorLU ##### This topic has 4 expert replies and 0 member replies ### Top Member ## A certain library assesses fines for overdue books as ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is$0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue? A.$0.60
B. $0.70 C.$0.80
D. $0.90 E.$1.00

The OA is B

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BTGmoderatorLU wrote:
Source: GMAT Prep

A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by$0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue?

A. $0.60 B.$0.70
C. $0.80 D.$0.90
E. $1.00 First day: Total fine = 10. For each additional day, the total fine either increases by 30 or doubles -- whichever results in a lesser amount. Second day: Adding 30 cents to the 1-day fine, we get 10+30 = 40. Doubling the 1-day fine, we get 2*10 = 20. Total fine = lesser amount = 20. Third day: Adding 30 cents to the 2-day fine, we get 20+30 = 50. Doubling the 2-day fine, we get 2*20 = 40. Total fine = lesser amount = 40. Fourth day: Adding 30 cents to the 3-day fine, we get 40+30 = 70. Doubling the 3-day fine, we get 2*40 = 80. Total fine = lesser amount = 70. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12981 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorLU wrote: Source: GMAT Prep A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is$0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue? A.$0.60
B. $0.70 C.$0.80
D. $0.90 E.$1.00

The OA is B
1st day - $0.10 2nd day -$0.20 or $0.40 (double or add$0.30)
$0.20 is the lesser amount 3rd day -$0.40 or $0.50 (double or add$0.30)
$0.40 is the lesser amount 4th day -$0.80 or $0.70 (double or add$0.30)
$0.70 is the lesser amount The correct answer is B Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi ALL, This question includes a 'conditional statement' that effects how you're supposed to handle each "step" in the math: "for each additional day....., the total fine is EITHER increased by 30 cents OR doubled, whichever results in the LESSER AMOUNT." Since we're asked to calculate a book that is 4 days overdue, we just have to consider each possible outcome on each day, then choose the one that leads to the "lesser amount" Day 1: 10 cents Day 2: 10 + 30 = 40 cents; 10(2) = 20 cents 20 cents is LOWER, so the fine is NOW 20 cents Day 3: 20 + 30 = 50 cents; 20(2) = 40 cents 40 cents is LOWER, so the fine is NOW 40 cents Day 4: 40 + 30 = 70 cents; 40(2) = 80 cents 70 cents is LOWER, so the final fine is 70 cents. Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2791 messages Followed by: 18 members Upvotes: 43 BTGmoderatorLU wrote: Source: GMAT Prep A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is$0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue? A.$0.60
B. $0.70 C.$0.80
D. $0.90 E.$1.00

The OA is B
On day 1, the fine is $0.10. On day 2, we have two options: 1) 0.10 + 0.30 =$0.40

2) 0.10 x 2 = $0.20 Since option 2 is the lesser of the 2 fines, the total fine, as of day 2, is$0.20.

On day 3 we have two options:

1) 0.20 + 0.30 = $0.50 2) 0.20 x 2 =$0.40

Since option 2 is the lesser of the 2 fines, the total fine, as of day 3, is $0.40. On day 4 we have two options: 1) 0.40 + 0.30 =$0.70

2) 0.40 x 2 = $0.80 Since option 1 is the lesser of the 2 fines, the total fine, as of day 4, is$0.70.

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scott@targettestprep.com

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