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If \(12345.6+123.456+1.23456+x+1234.56=13716.08506\), then the value of x lies between:

  • A.12 and 13
  • B.11 and 12
  • C.−12 and −11
  • D.−13 and −12

Answer: B

The value of x lies between 11 and 12.

Add the known numbers: 12345.6 + 123.456 + 1.23456 + 1234.56 = 13704.85056. Subtract this from 13716.08506.

\[ x=13716.08506-13704.85056=11.2345 \]

11.2345 lies between 11 and 12. The other options are 12 and 13 or negative ranges, which do not contain it.

A rough check helps: 12345.6 + 123.456 is about 12469, adding 1.23 and 1234.56 gives about 13704.8. The target is 13716.08, so x is about 11.2. This fits 'between 11 and 12' and not any of the other ranges, two of which are negative and cannot be right.

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