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Bunuel
In one year 2, 100 malpractice claims were filed with insurance company X and of these 1/4 resulted in a financial settlement. Of those resulting in a financial settlement of less than $400,000, what was the average payment per claim?

(1) Company X paid a total of 24.5 million dollars to the claimants.
(2) Only 5 claims resulted in payments of $400,000 or more.

DS21201

We are looking for (1) the number of claims for the claims that resulted in payments of less than $400,000, and (2) the total amount of payments that resulted from all claims in payments of $400,000 or less.

For now, we only know there are 100 / 4 = 25 claims in total.

Statement 1:

This doesn't tell us either (1) or (2), for (2) we want the claims under $400,000 specifically. Insufficient.

Statement 2:

We know there are 20 claims under $400,000 which is (1), we still need to know (2). Insufficient.

Combined:

Still don't know (2) so insufficient.

Ans: E
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<official guide>

A total of 1/4 (2,100) = 525 claims were paid. What was the average payment per claim of those claims having a payment less than $400,000?


(1) Given that the total payment for the 525 paid claims was $24.5 million, it is not possible to determine the average payment per claim. This is because almost nothing is known about the total payment for those claims less than $400,000 or the number of those claims less than $400,000 (we only know they cannot exceed $24.5 million and 525 paid claims), and thus, more than one value is possible for the average payment per claim for those claims less than $400,000; NOT sufficient.


(2) Given that a total of 5 paid claims had payments of $400,000 or greater, it is not possible to determine the average payment per claim. This is because nothing is known about the total payment for those claims less than $400,000, and thus, more than one value is possible for this total payment divided by 520 (i.e., the average payment per claim for those claims less than $400,000); NOT sufficient.


Taking (1) and (2) together, it is still not possible to determine the average payment per claim. For example, if each of the 5 paid claims of over $400,000 was equal to $500,000, then the average payment per claim for those claims less than $400,000 would be . However, if each of the 5 paid claims of over $400,000 was equal to $4 million, then the average payment per claim for those claims less than $400,000 would be , which is different from the first example.

The correct answer is E; both statements together are still not sufficient.

Bunuel
In one year 2,100 malpractice claims were filed with insurance company X and of these 1/4 resulted in a financial settlement. Of those resulting in a financial settlement of less than $400,000, what was the average payment per claim?

(1) Company X paid a total of 24.5 million dollars to the claimants.
(2) Only 5 claims resulted in payments of $400,000 or more.


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