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Whts being asked?

Expert replies
by [email protected] » Thu Aug 08, 2013 10:02 pm
How many days after the purchase of Product X does its standard warranty expire?
(1997 is not a leap year.)
(1) When Mark purchased Product X in January 1997, the warranty did not expire
until March 1997.
(2) When Santos purchased Product X in May 1997, the warranty expired in May
1997.
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Source: — Problem Solving |

by melguy » Thu Aug 08, 2013 10:54 pm
If you purchase product X, how many days after the purchase the standard warranty expires?

Statement 1:

When Mark purchased Product X in January 1997, the warranty did not expire
until March 1997.

Case 1: (Max number of days)
Purchase date : 1 Jan 97
Warranty expiry : 31 March 97
Total days = 31 + 28 + 31 = 90 days (1997 is not a leap year)

Case 2: (Min number of days)
Purchase date : 31 Jan 97
Warranty expiry : 1 March 97
Total days = 30 days

Not sufficient

Statement 2:

When Santos purchased Product X in May 1997, the warranty expired in May 1997.

Case 1:
Purchase date : 1 May 97
Warranty expiry : 31 May 97
Total days = 31 days

Case 2:
Purchase date : 1 May 97
Warranty expiry : 15 May 97
Total days = 15 days

Not sufficient.

Combine

Statement 1 tells that warranty was a minimum of 30 days (31st Jan - 1st Mar : 1 + 28 + 1)
Statement 2 tells us that warranty started and expired in May and May has maximum of 31 days.

One statement gives us 30 days, another one gives us 31 days. In my opinion answer should be E.
Last edited by melguy on Fri Aug 09, 2013 10:07 am, edited 2 times in total.
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by [email protected] » Fri Aug 09, 2013 12:53 am
Dear Experts, need to understand the language!
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by Matt@VeritasPrep » Fri Aug 09, 2013 9:30 am
Hi Shibsriz!

I actually just weighed in on this one last week:

https://www.beatthegmat.com/scheduling-p ... 15142.html

My explanation is the last one in the thread, but there are a few good ones at the top as well.

The answer is E: the warranty could be either 30 or 31 days. (Or 29 or 30, depending on how you interpret the warranty.) Melguy has a great explanation above, except for one hiccup: there aren't 30 days in February :)
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by melguy » Fri Aug 09, 2013 10:02 am
Thanks Matt. Sorry, my writing style wasn't very clear. I have edited the post and I hope it is more clear now. What I actually wanted to say was 1 day in Jan (31st Jan) + 28 days of Feb + 1 day in Mar (1 Mar). May be it came out as 30 days in Feb hehe.

Have a great day.
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by Matt@VeritasPrep » Fri Aug 09, 2013 10:35 am
melguy wrote:Thanks Matt. Sorry, my writing style wasn't very clear. I have edited the post and I hope it is more clear now. What I actually wanted to say was 1 day in Jan (31st Jan) + 28 days of Feb + 1 day in Mar (1 Mar). May be it came out as 30 days in Feb hehe.

Have a great day.
Gotcha! That's actually the same issue I raised in the other post - whether you count January 31st and February 1st as two days, or whether it's a 24-hour period from the time of purchase on Jan 31st and hence one day. The question ought to be worded more clearly, IMHO.

Just answered your other post about p, q, and r. There's a pretty neat way to write it as an inequality and find a limit on p, but I spent another 10 minutes trying to find a solution for p = 24 and it was ugly!
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