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Question

# This data sufficiency problem consists of a question and two statements labelled (1) and (2), which contain certain data. Using these data and your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), decide whether the data given are sufficient for answering the question and then indicate one of the following answer choices:Total expenses for the five divisions of Company HThe figure above represents a circle graph of Company H's total expenses broken down by the expenses for each of its five divisions. If O is the center of the circle and if Company H's total expenses are 5,400,000, what are the expenses for Division R?(1) x=94(2) The total expenses for Divisions S and Tare twice as much as the expenses for Division R.

A
Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
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B
Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
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C
Both statements together are sufficient, but neither statement alone is sufficient.
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D
Each statement alone is sufficient.
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E
Statements (1) and (2) together are not sufficient.
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Solution

## The correct option is A Statement (1) alone is sufficient, but statement (2) alone is not sufficient.Given data suggests that the total expenses of company H are 5400000 dollars. And the figure represents all it's 5 divisions.The division R is marked with an angle of x°. The total expenses of division R are needed.Statement 1 tells the value of x°= 94We can take a ratio using this angle of R to the rest of the expenses. We can then easily find the total expenses of R from the total expenses of the company so statement 1 is sufficient.Statement 2 states that the total of division S &T are twice as much as division R. But because there are two more divisions the data in this statement is insufficient to find the value of R. So statement 2 is not sufficient.Option A is the correct answer.

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