Solutions

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Question

If each customer at the outdoor movie last night came in a car, what was the number of cars in which the customers came to the outdoor movie last night?

I. The average (arithmetic mean) number of customers per car coming to the outdoor movie last night was 2.

II. Total receipts at the outdoor movie last night were $4,500 at $5 per customer.


 

Option A:

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Option B:

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

Option C:

BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Option D:

EACH statement ALONE is sufficient to answer the question asked.

Option E:

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Difficulty Level

Medium

Solution

Option C is the correct answer.


Option Analysis

The Average Customer per car is defined as follows

Average Customer per Car = (Total Customers) / (Total No. of Cars)

i.e. Total No. of Cars = (Total Customers) / (Average Customer per Car)

Statement I is insufficient: Average Customer per Car=2

i.e. Total Customers = (2) * (Total No. of Cars).

Since the Total No. of Customers is unknown therefore Not sufficient

Statement II is insufficient: Total receipts at the outdoor movie last night were $4,500 at $5 per customer

Total Customer = Total Receipts / Receipt per customer = 4500/ 5 = 900

But then the relation between Total Number of Customers and No. of Cars is unknown, Therefore Not sufficient

Together I and II,

From Statement I: Total Customers = (2) * (Total No. of Cars)

From Statement II: Total Customers = 900

i.e. (Total No. of Cars) = 900/2 = 450


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