CMSC 250 Quiz #7 Wednesday, Mar. 10, 2004Write all answers legibly in the space provided. The number of points possible for each question is indicatedin square brackets – the total number of p oints on the quiz is 30, and you will have exactly 20 minutes tocomplete this quiz. You may not use calculators, textbooks or any other aids during this quiz.1. [20 pnts.] Disprove by counter example or Prove each of the following:a. The sum of any rational number and any integer is rational.b. For every integer n, n2− n + 3 ≡212. [4 pnts.] Write the standard factored form of 1050:3. [6 pnts.] Use the unique factorization theorem and suppose that m is an integer such that5 ∗ 4 ∗ 3 ∗ 2 ∗ m = 10 ∗ 11 ∗ 12 ∗ 13Circle Yes or No for each of the following: Yes means that this is something that must be true, Nomeans it doesn’t necessarily need to be true:a) 10|m YES NOb) 11|m YES NOc) 12|m YES NOd) 13|m YES NOe) 24|m YES NOf) 143|m YES
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