Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A certain library assesses fines for overdue books as follow [#permalink]
03 Feb 2012, 07:32

00:00

A

B

C

D

E

Difficulty:

25% (low)

Question Stats:

76% (01:31) correct
23% (00:40) wrong based on 76 sessions

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 increased by $0.30 or doubled, whichever results in a 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

i approached it and got 1.00, but i cant understand why .70, which is B Someone care to show me how to approach this question thanks

Re: CERTAIN LIBRARY [#permalink]
03 Feb 2012, 07:36

3

This post received KUDOS

Expert's post

manalq8 wrote:

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 increased by $0.30 or doubled, whichever results in a 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

i approached it and got 1.00, but i cant understand why .70, which is B Someone care to show me how to approach this question thanks

Notice that, fines are already cumulative: "For each additional day that the book is overdue, the total fine is ..."

1st day fine - 0.1 2nd day fine - 0.1*2=0.2 (as doubling gives lower value) 3rd day fine - 0.2*2=0.4 (as doubling gives lower value) 4th day fine - 0.4+0.3=0.7 (as doubling gives higher value we add 0.3 this time)

Re: A certain library assesses fines for overdue books as follow [#permalink]
15 Jan 2013, 07:16

Expert's post

pretty confused with the wordings. The total fine is increased by $0.30 or doubled. Doesn't that means the total fine is doubled? please clarify
_________________

Re: A certain library assesses fines for overdue books as follow [#permalink]
16 Jan 2013, 13:10

the total fine is increased by $0.30 or doubled, whichever results in a lesser amount - Keep the bolded phrases in mind .. it is quite confusing though .. Day 1 - $.10 Day 2- $.10 *2 or $.10+$.30 (Whichever results in a lesser amount), hence its $.20 Day 3 - $.20*2 or $.20+$.30, $.40 as its lesser Day 4 - $.40*2 or $.40+$.30, $.70 as this is lesser

Re: A certain library assesses fines for overdue books as follow [#permalink]
20 Apr 2013, 04:08

Expert's post

cyberjadugar wrote:

Hi,

I am little confused, since the question mentions that the total fine be increased by 0.3 or double, won't the question be solved in following way:

day 1 - 0.1 day 2 - 2*0.1 = 0.2 day 3 (total due = 0.3, day 1 + day 2) = 0.6 day 4 = 0.9

can anyone please point out the mistake in my understanding of the question?

Regards,

Total fine at the end of the 2nd day = 0.2. This means that the total fine, including the past fines, at the end of the second day is 0.2. Notice that 0.1 has already been accounted for.Thus, when you are calculating the total fine at the end of the third day, you refer to 0.2. Thus, total fine at the end of the third day is 0.2*2=0.4.
_________________

Re: Total fine of book on the 4th day of its overdue ? [#permalink]
23 Apr 2013, 02:17

This one's tricky for sure. Easy to fall for D. Here's the solution Day 1 = 0.1$ Day 2 ( Double or increase by 0.3$, chose the minimum one) Option1: Double -> 0.1*2= 0.2$ Option2: Increase by 0.3$ -> 0.1+0.3 = 0.4$ Minimum one: 0.2$ Day 3 Option1: Double -> 0.2*2=0.4$ Option2: Increase by 0.3$ -> 0.2+0.3=0.5$ Minimum one: 0.4$ Day 4 Option1: Double -> 0.4*2=0.8$ Option2: Increase by 0.3$ -> 0.4+0.3=0.7$ Minimum one: 0.7$ hence the OA.
_________________