Midterm 2 Practice

Midterm 2 Practice - MATH 035 Midterm 2 Practice [ 5 ] 1....

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MATH 035 Midterm 2 Practice [ 5 ] 1. Which of the following numbers are composite? i) 213. ii) 121. iii) 191. A) i) only; B) ii) only; C) iii) only; D) i) and ii) only; E) i) and iii) only; F) ii) and iii) only; G) all; H) none. [ 5 ] 2. List all the primes from a to b and decide in which of the following 3 cases less than 2 twin prime pairs occur. i) a = 3 and b = 11. ii) a = 11 and b = 31. iii) a = 43 and b = 57. A) i) only; B) ii) only; C) iii) only; D) i) and ii) only; E) i) and iii) only; F) ii) and iii) only; G) all; H) none. [ 5 ] 3. Which of the following 3 statements are true? i) If 2 divides a product of two numbers then 2 divides one of the numbers. ii) If 2 divides the sum of two numbers then 2 must divide one of the numbers. iii) If two numbers are divisible by 2 then their product is divisible by 4. A) i) only; B) ii) only; C) iii) only; D) i) and ii) only; E) i) and iii) only; F) ii) and iii) only; G) all; H) none. [ 5 ] 4. Let a = 2^6X 7^5X 11² and b = 3^5X 5³X 13³ Which of the following 3 statements are true? i) a is divisible by 64 and b is divisible by 65. ii) a and b are not relatively prime. iii) ab = LCM(a, b). A) i) only; B) ii) only; C) iii) only; D) i) and ii) only; E) i) and iii) only; F) ii) and iii) only; G) all; H) none. [ 5 ] 5. Which of the following 3 statements are true? i) The Fundamental Theorem of Arithmetic says that there is only one way to factor a natural number into
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Midterm 2 Practice - MATH 035 Midterm 2 Practice [ 5 ] 1....

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