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Lesson: Data Sufficiency Challenging - 06t01

Time Is Of The Essence

[Page 6 of 24]

Let's try to answer the following Data Sufficiency question using as little calculation as possible.

What is the value of x?

1) If x were the length of the diameter of a circle, the area of the circle would be three times greater than the radius.

2) If x were the length of the circumference of a circle, the ratio of x to the radius would be 2? :1.

Can we establish definitive sufficiency or insufficiency for Statement 1 using the statement alone, or do we need to calculate? Select an answer and then click Continue.

1) If x were the length of the diameter of a circle, the area of the circle would be three times greater than the radius.

  Statement 1 is sufficient. Statement 1 is insufficient. Calculation is necessary.

Countinue

We can indeed stop here. No more work is needed to determine that this statement is sufficient to give us a single value for x. The question is testing your understanding of the relationships between the various measurements of a circle. And in the first statement, we’ve been given a relationship between two measurements containing the same and only variable, x. Remember that any measurement of a circle can be found if you have any other measurement. So, if x is to be the diameter of a circle, we can certainly represent the radius in terms of x. This gives us an equation with only one variable, which we can solve. Don’t believe it? Check out the math.

Now let’s look at the other statement and decide when we can stop.

Countinue

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