Bunuel wrote:

What is the value of the integer x ?

(1) x rounded to the nearest hundred is 7,200.

(2) The hundreds digit of x is 2.

We need to determine the value of x.

Statement One Alone:

x rounded to the nearest hundred is 7,200.

Knowing that x rounded to the nearest hundred is 7,200 is not enough information to determine x. For instance, if x = 7,194, it will be rounded to 7,200, or if x = 7,211, it will be also rounded to 7,200. Statement one alone does not provide enough information to answer the question. Eliminate answer choices A and D.

Statement Two Alone:

The hundreds digit of x is 2.

There are many numbers with a hundreds digit of 2. Knowing the hundred digits alone will not allow us to determine x. Statement two alone does not provide enough information to answer the question. Eliminate answer choice B.

Statements One and Two Together:

Using our two statements together, we know that x rounded to the nearest hundred is 7,200 and the hundreds digit of x is 2. However, we still do not have enough information to answer the question. For instance, x could equal 7,201 or 7,202, giving us two different values of x.

Answer: E

_________________

Jeffery Miller

Head of GMAT Instruction

GMAT Quant Self-Study Course

500+ lessons 3000+ practice problems 800+ HD solutions