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Manager
Joined: 28 May 2009
Posts: 144
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
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WE: Information Technology (Consulting)

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18 Dec 2013, 00:39
2
12
Bunuel wrote:
megafan wrote:
The cost of a certain phone call was $0.75 for the first 3 minutes and$0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes

(1) The cost of the phone call was less than $4.16 (2) The cost of the phone call was greater than$3.35

While this is a seemingly simple min/max problem, I was wondering if there is a faster way to deal with decimals—as it took me ~4mins to arrive at the solution.

The cost of a certain phone call was $0.75 for the first 3 minutes and$0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes

According to the above the cost for n minutes, where n>3, is $$75 + (n-3)*20=20n+15$$ cents. W need to find whether n>15. The cost for 15 minutes is $$20n+15=20*15+15=315$$ cents, so we need to find whether the cost is greater than 315 cents.

(1) The cost of the phone call was less than $4.16. Not sufficient. (2) The cost of the phone call was greater than$3.35. Sufficient.

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Re: The cost of a certain phone call was $0.75 for the first 3 [#permalink] ### Show Tags 18 Dec 2013, 00:34 5 3 megafan wrote: The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes (1) The cost of the phone call was less than$4.16
(2) The cost of the phone call was greater than $3.35 While this is a seemingly simple min/max problem, I was wondering if there is a faster way to deal with decimals—as it took me ~4mins to arrive at the solution. The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes According to the above the cost for n minutes, where n>3, is $$75 + (n-3)*20=20n+15$$ cents. W need to find whether n>15. The cost for 15 minutes is $$20n+15=20*15+15=315$$ cents, so we need to find whether the cost is greater than 315 cents. (1) The cost of the phone call was less than$4.16. Not sufficient.

(2) The cost of the phone call was greater than $3.35. Sufficient. Answer: B. _________________ Intern Joined: 22 Feb 2014 Posts: 2 Re: The cost of a certain phone call was$0.75 for the first 3  [#permalink]

### Show Tags

02 Jul 2014, 07:05
Hi Bunuel,
I tried solving this question by following method and i feel both the statements are not sufficient to get an answer.

given: The cost of a certain phone call was $0.75 for the first 3 minutes and$0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes

let's assume phone call lasted for x mins
1) The cost of the phone call was less than $4.16 75+x*20< 416 x<17.04.. Not sufficient as x can be > , < or = 15 2) The cost of the phone call was greater than$3.35
75+x*20>335
x>13 again not sufficient

combining both 13<x<17..not sufficient..
Please let me know where i am going wrong.
Manager
Joined: 28 Apr 2014
Posts: 212
Re: The cost of a certain phone call was $0.75 for the first 3 [#permalink] ### Show Tags 02 Jul 2014, 20:26 1 varikaur wrote: Hi Bunuel, I tried solving this question by following method and i feel both the statements are not sufficient to get an answer. given: The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes let's assume phone call lasted for x mins 1) The cost of the phone call was less than$4.16
75+x*20< 416
x<17.04.. Not sufficient as x can be > , < or = 15

2) The cost of the phone call was greater than $3.35 75+x*20>335 x>13 again not sufficient combining both 13<x<17..not sufficient.. Please let me know where i am going wrong. I get the fallacy mate. The call of 0.20 is after three minutes. So once you as per you calculation get 13 , you have to add the first 3 minutes. Thus you get the total time as 13 + 3 = 16 minutes Manager Status: Please do not forget to give kudos if you like my post Joined: 19 Sep 2008 Posts: 91 Location: United States (CA) Re: The cost of a certain phone call was$0.75 for the first 3  [#permalink]

### Show Tags

02 Dec 2014, 20:00
1
Lets t = 15 then C = .75 + 12*.20 = 3.15. basically is C > $3.15 1. C < 4.16 not sufficient 2. C > 3.35 so C is definitely greater then 3.15 Sufficient. Answer: B megafan wrote: The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes (1) The cost of the phone call was less than$4.16
(2) The cost of the phone call was greater than $3.35 While this is a seemingly simple min/max problem, I was wondering if there is a faster way to deal with decimals—as it took me ~4mins to arrive at the solution. _________________ Please Help with Kudos, if you like my post. Manager Joined: 28 Sep 2013 Posts: 85 GMAT 1: 740 Q51 V39 Re: The cost of a certain phone call was$0.75 for the first 3  [#permalink]

### Show Tags

09 Aug 2016, 17:39
Bunuel wrote:
megafan wrote:
The cost of a certain phone call was $0.75 for the first 3 minutes and$0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes

(1) The cost of the phone call was less than $4.16 (2) The cost of the phone call was greater than$3.35

While this is a seemingly simple min/max problem, I was wondering if there is a faster way to deal with decimals—as it took me ~4mins to arrive at the solution.

The cost of a certain phone call was $0.75 for the first 3 minutes and$0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes

According to the above the cost for n minutes, where n>3, is $$75 + (n-3)*20=20n+15$$ cents. W need to find whether n>15. The cost for 15 minutes is $$20n+15=20*15+15=315$$ cents, so we need to find whether the cost is greater than 315 cents.

(1) The cost of the phone call was less than $4.16. Not sufficient. (2) The cost of the phone call was greater than$3.35. Sufficient.

What is the flaw in my reasoning -

0.75X3 + A X 0.2 = Total Cost.

Where A is the # of Minutes after 3 Minutes.

Basically, now we boil down to if A>12

Statement 1 =
0.75X3 + A X 0.2 = 4.16
A = 9.55 Minutes - That means A is not greater than 12. Hence with the calculation we did above we can clearly say that this statement is sufficient to forecast that A is not greater than 12.
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Re: The cost of a certain phone call was $0.75 for the first 3 [#permalink] ### Show Tags 10 Aug 2016, 00:06 1 RichaChampion wrote: Bunuel wrote: megafan wrote: The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes (1) The cost of the phone call was less than$4.16
(2) The cost of the phone call was greater than $3.35 While this is a seemingly simple min/max problem, I was wondering if there is a faster way to deal with decimals—as it took me ~4mins to arrive at the solution. The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes According to the above the cost for n minutes, where n>3, is $$75 + (n-3)*20=20n+15$$ cents. W need to find whether n>15. The cost for 15 minutes is $$20n+15=20*15+15=315$$ cents, so we need to find whether the cost is greater than 315 cents. (1) The cost of the phone call was less than$4.16. Not sufficient.

(2) The cost of the phone call was greater than $3.35. Sufficient. Answer: B. What is the flaw in my reasoning - 0.75X3 + A X 0.2 = Total Cost. Where A is the # of Minutes after 3 Minutes. Basically, now we boil down to if A>12 Statement 1 = 0.75X3 + A X 0.2 = 4.16 A = 9.55 Minutes - That means A is not greater than 12. Hence with the calculation we did above we can clearly say that this statement is sufficient to forecast that A is not greater than 12. You should read the stem and the solution more carefully. 1. The cost of a certain phone call was$0.75 for the first 3 minutes, not $0.75 for each of the first 3 minutes; 2. A in your solution must be more than 15, not more than 12; 3. (1) says that the cost of the phone call was less than$4.16, not equal to $4.16. So, it should be 0.75+ A *0.2 < 4.16 --> A < 17.05. _________________ Intern Joined: 05 Apr 2016 Posts: 30 Re: The cost of a certain phone call was$0.75 for the first 3  [#permalink]

### Show Tags

05 Sep 2016, 11:03
1
The trick here is understanding that the 0,75 was for all three minutes (not 0,75 per minute).
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Re: The cost of a certain phone call was $0.75 for the first 3 [#permalink] ### Show Tags 02 Dec 2017, 09:55 megafan wrote: The cost of a certain phone call was$0.75 for the first 3 minutes and $0.20 for each additional minute after the first 3 minutes. Did the phone call last longer than 15 minutes (1) The cost of the phone call was less than$4.16
(2) The cost of the phone call was greater than $3.35 For First 3 mins, the cost = 0.75$
For each additional minute after the first 3 minutes, the cost = 0.20$SO, calculate the cost for the 15 minutes -- cost for first 3 mins + cost for each additional minute after the first 3 minutes = 0.75$ + 12*0.20$= 0.75$ + 2.40$= 3.15$

Now, Question becomes whether the cost of phone call > 3.15$? 1. <4.16$
so the cost can OR cannot be > 3.15$Insufficient 2. >3.35$
Sufficient. As cost > 3.35$will always be > than 3.15$.

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Re: The cost of a certain phone call was $0.75 for the first 3 [#permalink] ### Show Tags 07 Dec 2018, 14:41 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: The cost of a certain phone call was$0.75 for the first 3 &nbs [#permalink] 07 Dec 2018, 14:41
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