How many days after the purchase of Product X does its stand

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.

have a doubt in this ..plz correct me

In Statement 1: Maximum validity is from 1st January to 31st March
Minimum validity is from 31st January to 1st March ( WE ARE SURE that 31st march as well as 1st march is not an expiry date HERE)

= (31 + 28 + 31) = 90 days
= (1 + 28 + 1) = 30 days

In Statement 2: (2) When Santos purchased Product X in May 1997, the warranty expired in May 1997.

Maximum possible validity of X is from 1st May to 31st may = 30 days( here we ARE ASSUMING THAT 31st is an expiry date according to the question so we cnnt include 31st day )
Minimum possible validity of X is from 1st May to 2nd May = 1 day


so the inetrsection of (1-30 ) and (30 - 90) is 30 ??

The highlighted part is not entirely correct. It will be (30+28+31) = 89 days, as you can't include 1st of January.[The question states after the day of purchase]

The minimum will occur and the no of days would be : 28+1 = 29 days.

Thus, the range of validity for the warranty : \(29\leq{w}\leq{89}\)

Similarly, from the second statement, we would have \(1\leq{w}\leq{30}\)

Combining both, we have : w=29 or w=30. Insufficient.

Hope this helps.

thanku so much for ur reply..

i am still little confused ..

y didnt we use the maximum validity upto 1st april because anyways its mentioned that it is not expired in Mach and question asked upto how long it can stand ...( 31st march is not an xpiry date : Should nOt we include that day wen it can be used upto )

like in secnd statemnt we are considering 31st of may ( product x can be usEd on 31st may )

The maximum validity from F.S 1 :

Purchased on 1st January --> The validity starts from 2nd January.
Validity didn't expire until March(The date can not cross over to the month of April) --> 31st March, i.e. the warranty was valid till 31st March.

The total no of days from 2nd Jan to 31st March = 30(Jan)+28(Feb)+31(Mar) = 89 days.

Hence, we ARE including 31st March.

Is this better?

Im not sure

The first statement gives the range "did not expire until March 1997, doesn't that imply that it cant be nay lesser than March, thiugh it can be greater than March?

No. It only means that it can be valid till the last day of March and DOESN'T run into the month of April.

If I say this ticket is valid until tomorrow, will it be valid after that? It won't.

Hope this helps

Yeah it does but why 29 days its not a leap year no?

Hello Bunuel,

I have a query on this solution...

I think the most confusing part here is not the calculation but understanding the meaning of 'until'
From your explanation it seems when you say until 1st of March, you are not including 1st of march while counting days....
29 days (the least possible warranty: from 31st of January to 1st of March) = 1 + 28 + 0 = 19
89 days (the greatest possible warranty: from 1st of January to 31st of March) = 31 + 28 + 30 = 89

I tried to find more on meaning of until and it seems there is no clear understanding when until date in mentioned.
PFA few links
https://www.quickanddirtytips.com/educat ... e-the-date
Above link concludes that until includes the date but recommends to consider other case also, so this is not helpful from GMAT perspective.
Its not clear from below online dictionaries as well...
https://www.thefreedictionary.com/until
https://www.macmillandictionary.com/dict ... tish/until
https://www.diffen.com/difference/Unless_vs_Until

Could you please let me know what is rule of thumb on GMAT about until ?

Thanks
jd

Apologies if this has already been discussed elsewhere, however I wonder how the question would have differed if it was mentioned as (1997 is a "Leap Year") ?

Kindly help

Hi - why are we finding ranges (highest difference in number of days or lowest difference in number of days)

Why are values like 2 weeks or 1 week or 20 days warranty not answer choices potentially

We want to know the warranty period in days. From (1) it can be anything from 29 days to 89 days. From (2) it can be anything from 1 day to 30 days. When combining it can be 29 or 30 days.

Now, taking the above into consideration what does your question mean?

Statement 1:
Minimum number of days:
purchase date = January 31, expiration date = March 1
Here, the expiration date = (28 days of February) + (first day of March) = 29 days after purchase.
Maximum number of days:
purchase date = January 1, expiration date = March 31
Here, the expiration date = (30 days of January after the first day) + (28 days of February) + (31 days of March) = 89 days after purchase.
Implication:
The number of days after purchase can be any integer value between 29 and 89, inclusive.
INSUFFICIENT.

Statement 2:
Minimum number days after purchase:
purchase date = May 1, expiration date = May 2
Here, the expiration date = 1 day after purchase.
Maximum number of days after purchase:
purchase date = May 1, expiration date = May 31
Here, the expiration date = (30 days of May after May 1) = 30 days after purchase.
Implication:
The number of days after purchase can be any integer value between 1 and 30, inclusive.
INSUFFICIENT.

Statements combined:
Statement 1: range = 29 to 89 days, inclusive
Statement 2: range = 1 to 30 days, inclusive
The two ranges overlap such that the number of days after purchase can be 29 or 30.
INSUFFICIENT.

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