AMC 8 Daily Practice Round 6

Complete problem set with solutions and individual problem pages

Problem 26 Easy

The average of five consecutive odd numbers is 1997. What is the value of the square of the largest number minus the square of the smallest number?

  • A.

    15976

  • B.

    19432

  • C.

    21432

  • D.

    23976

  • E.

    31952

Answer:E

5 odd numbers: 1993, 1995, 1997, 1999 and 2001.

{{2001}^{2}}-{{1993}^{2}}=\left( 2001+1993 \right)\left( 2001-1993 \right)=3994\times 8=31952.

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