The table above shows the car rental charges at Thrifty Agency. The da

The table above shows the car rental charges at Thrifty Agency. The daily rate applies for each day or fraction of a day in excess of any multiple of a 7-day week, up to the charge per week. If Olga rented a car of one of the types indicated, which type was it?

What does this mean---
or fraction of a day in excess of any multiple of a 7-day week, up to the charge per week

Yeah I didn't get that part either... all the people who explained answers here are assuming that the "X" when solving has to be an integer... but it specifically says that the number of days can be a "fraction of a day"... so not sure why S1 is sufficient.

For 1) - It states that "based only on the rates specified, was $184", it means that only based on the rate listed on the table. Thus, even the question said it can have fraction, but choice 1) eliminate the possibility of the fraction. Therefore 1) should be the right answer.

Hope this helps

Hi nick1816
Good analysis.
But in each of the cases, we should also check for n = 0 and n >1
For given values:
n = 0 for each case 184 is not divisible by daily charge
n > 1 for each case Not Possible

Thanks,
Nitin

NitinGMAT19
There is no point in checking for n>1. For n=0, i could consider midsize and standard, as 32*6 and 34*6 >184 (i discarded them logically).

The table above shows the car rental charges at Thrifty Agency. The daily rate applies for each day or fraction of a day in excess of any multiple of a 7-day week, up to the charge per week. If Olga rented a car of one of the types indicated, which type was it?

(1) Olga's total rental charge, based only on the rates specified, was $184.

There's only one way to arrive at a total of $184. Olga rented a economy car for a week and was charged an additional 3 days:

$100 + 3(28) = $184

A quick glance at the other charges will suffice. The closest is midsize + one extra day, which gives a total of $172 -- not $184.

SUFFICIENT.

(2) Olga rented the car for 10 days.

Clearly insufficient; we don't know how much Olga paid.

If fractional days are possible as listed in the question prompt, couldn't any answer satisfy Statement #1? Why is this wrong?

e.g.

Olga Paid $184. She rented a midsize for $140 for a week and then rented the car at a daily rate for an additional 1 day and 12/32 of a day.
-i.e. $140 + $32 + ($32*(12/32)) = $184

Fraction of a day here means that even if you use the car for 7.1 days, you pay for 8 days.

The second statement is being quoted as irrelevant. Why ? It will also give the info about the type of car. A complete week hence, we get 7 and 3 days, which is fitting only with one car. Hence, why the answer is 'A'. Kindly enlighten.

Posted from my mobile device

nuruddinies
Even if you don't have the 2nd statement, the total rental charge is such that there can only be 1 answer from A and of course that gives us an exact number of days as well. Let me know if this isn't clear!

I think you are carrying over the information from 1. If you consider only the second statement, you wouldn't know the price Olga paid. So, it is insufficient.

But to be honest, IMO, I think the wording leaves a little to be desired. Ofcourse, no point arguing as this is an OG question, but the implied meaning would have been clearer had they said ~ "The daily charge will be applicable* for each day or fraction of a day" to mean that the daily charge will be charged even if you use the car for fraction of a day.

The way it is currently worded - it is open to interpretation, for one to say "Okay, after 7 days, the daily rate will be applicable even if I use it for a fraction of a day". It doesn't necessarily tell me that the whole day's charge will be applicable and hence I should only look for *integral* charges.

This question was particularly frustrating as I spotted 28 as the only possible multiple that could yield $184 within 30 seconds! Yet, I went for C because it was worded so ambiguously. It Sucks! xP But can't do much about it.

I truly don't understand. The statement says that "The daily rate applies for each day or fraction of a day" so if that is true why does the excercise assume that Olga rented the car for an integer number of days?? For example if I look at statement 1 we have the amount she paid but if it's true that the daily rate applies also for fractions of a day then it's impossible to find a solution using only that one statement. As an example, Olga could have rented a "compact car" for 1 week and 32/15 days. The same reasoning can be applied to all the other vehicle classes. It's only when we combine statement 1 with statement 2 that we undestand that the number of days is an integer. I truly cannot understand why the excercise assumes that the number of days Olga rents the car for must be even. Can someone explain?

"The daily rate applies for each day or fraction of a day in excess of any multiple of a 7-day week, up to the charge per week" means that of you rent a car for 10.5 day you'd be charged for a week charge + daily charge for 4 days.

The phrase, "The daily rate applies for each day or fraction of a day in excess of any multiple of a 7-day week, up to the charge per week" means that if you rent a car for 10.5 days, you will be billed for one week's charge plus the daily rate for 4 additional days.

­Hey, thanks for the solution. One doubt - when the question says it could be a fraction of a day, then why are be not considering the fractions in our possibilities?

­
Check here:

https://gmatclub.com/forum/the-table-ab ... l#p3208278

Hope it helps.