Bob's internet provider UzMobile offers unlimited data traffic which

Question

Bob's internet provider UzMobile offers unlimited data traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when a client's debt exceeds $10. If today in the morning Bob makes a payment of $14, for how many days, including today, will he be connected to the internet without any additional payments?

(1) Bob didn't use his internet for two consecutive days
(2) Bob's initial balance was $0

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findingmyself · Answer

Total recharge done=$14 
 Credit available=$10 
 Per day cost=$0.5

Equation we know: Number of days= \frac{Current balance+$14+$10(Credit)}{$0.5} + Days in case when data is not used at all

Here missing information is Current balance and also we don't know if there are days in which he was totally not using the phone

Statement 1: No of days when phone is not used is given: Not sufficient 
 Statement 2: Opening balance is given: Not sufficient

Together: We will be having two missing informations, hence sufficient

Souradeep17 · Answer

recharged. 14$

Debt upto 10$

Option 1:
He did not use internet for 2 days. 
We don't know how much balance was there before. Hence Not sufficient.

Option 2:
Bob's initial balance was 0.
But we don't know how much he many days he used or did not use. Hence not sufficient.

Option 1+2:

Having both we can find out the number of days. for 14$=28 days for 10$=20 days now he did not use for 2 days so again 2 day extra

BongBideshini · Answer

Statement (1) 
The charge is deducted daily regardless of usage.
So knowing he didn't use it for two days tells us nothing about his balance.
 Not sufficient. 
 Statement (2) 
 Bob's initial balance was $0. 
Service continues as long as balance is at least (-10).
Maximum total decrease allowed:
14-(-10)=24
24/0.5=48
 Sufficient. 
 Ans B

ZeroSquare · Answer

I think statement 1 here is irrelevant to the discussion. Irrespective of the non-usage the daily quota will be exhausted. It doesn't seem like a dependency on usage at all. Please lmk if I am missing something here.

Username1512 · Answer

Where does it say that the daily quota will be deducted irrespective of usage? I took that into consideration when answering the question.

ExtraLog · Answer

The problem states that the service is discontinued when a client's debt exceeds $10. It does not mention any other condition under which the service is interrupted, such as a daily suspension before the debt exceeds $10. Therefore, by the standard GMAT principle of using only the information given, we assume that the service remains active until the debt exceeds $10. Introducing any additional discontinuity would be adding information not stated in the problem.

Username1512

Where does it say that the daily quota will be deducted irrespective of usage? I took that into consideration when answering the question.

egmat · Answer

Hi Username1512,

Good catch on reading the fee carefully, but the wording actually settles this in the provider's favor.

Look at the exact phrase:  "unlimited data traffic which costs $0.5 per day charged off at 12 a.m."  Two clues make this a flat daily subscription, not a usage-based charge:

-  "Unlimited"  - you're not paying per gigabyte or per session. You pay one fixed price for the  right to use as much as you want . That right exists whether you use it or not.
-  "$0.5 per day charged off at 12 a.m."  - the deduction happens automatically each day at a set time. Nothing in it is tied to whether Bob went online.

So the  $0.5  is like a daily rental: it comes out every midnight regardless of usage. That's why the daily balance drops by exactly  $0.5  each day, period.

Why this makes the statements behave as they do

Once you accept that usage doesn't matter, Statement ( 1 ) - "didn't use it for two consecutive days" - changes  nothing  about the balance, so it can't help count the days.  Not sufficient.

To see that usage truly doesn't affect the count, test it against Statement ( 2 ) (initial balance  $0 , so  $14  after payment):

-  Bob uses the internet every day  - charged  $0.5  daily, stays connected until debt would exceed  $10 .
-  Bob skips several days  - still charged  $0.5  daily, disconnects at the  exact same point .

Both cases land on the  same  number of connected days. Since the answer never shifts, the usage information is irrelevant and Statement ( 2 ) alone pins it down. That's the whole reason the answer is  B .

So you didn't misread - you just applied a per-use model to what the problem defines as a flat, automatic daily charge. The word  "unlimited"  is the tell.

Answer: B

devikat · Answer

Hi, the stem clearly states '  costs $0.5 per day charged off at 12 a.m. ' This implies that he is charged not based on the usage, and is charged regardless of whether he uses internet or not.

Bob's internet provider UzMobile offers unlimited data traffic which

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GMAT Data Sufficiency (DS) Questions

Bob's internet provider UzMobile offers unlimited data traffic which

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