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Consider the following statements about four numbers:

  • (S$1$) The average of the four numbers is $25$
  • (S$2$) Each number is at most $40$
  • (S$3$) Each number is at least $20$

Choose the option that is necessarily correct.

  1. (S$1$) and (S$2$) together imply (S$3$)
  2. (S$2$) and (S$3$) together imply (S$1$)
  3. (S$1$) and (S$3$) together imply (S$2$)
  4. (S$1$) implies (S$3$)

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