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Lesson: Data Sufficiency Basic - 14

Value Questions

[Page 14 of 22]

The previous problem was a special type of Data Sufficiency known as a Value Question. In the previous problem, each statement provided two possible values for x. So, why wasn’t each statement sufficient? Each statement was insufficient, individually, because it could not provide a single value for x.

When a question states "What is the value of x?" take the words "the value" literally. A statement will only be sufficient only if it allows you to find one, and only one, value for x.

So, what if in the previous example if we had determined that:

Statement (1) revealed that x could be 71, 73, or 79.

Statement (2) revealed that x could be 71 or 73.

Statements (1) and (2) combined revealed that x could be 71 or 73.

Then the answer would have been Choice (E) instead of (C) because we would have had more than one possible value for x.

And note that not all Value Questions contain the word "value." For example:

  • What is yx?
  • How many nickels does Emily have?
  • What is the area of ABC?
  • How old is James?

Each of the questions above is actually a Value Question and a Statement will be sufficient only if it leads you to a single value answering each question.

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