Department of ECE and Department of CSE, Uniesity cE Puerto Rino at Mayagie (II)

Question

Department of ECE and Department of CSE, Uniesity cE Puerto Rino at Mayagie (II). Muitiple choices for divisibility and cougruence (Choose one) (1) Let a, b, and e be integers, where a 0. What of the following is NOT a divislbility property: Answer:_ (a). If a j b and a le, then a j(b+e). (b). If a be, then a c (c). If a b, then a l be for an integers e, (d). IE a b anvd & Ie, then a e (e). 1f a l b and a | c, then a l mb+ nc whenever m and n are integers. (2) Today ls s Monday, the day after 200 days from now isa Answer: (a). Monda (b). Tuesday (c). Wednesday (d). Thirslay le). Friday (3) The solution of Gr- 7 (mod 11) is: Answer (a). (b). 2 (c). 3 (d). 4 (e). 5 ICOM4075 CIIC3075: Prof. Kejie Lu

Explanation / Answer

Answer:--------

1. a. if a/b and a/c ,then a/(b+c)

2. e. Friday --->>>> ( Monday + 200 % 7 => 1 + 4 = 5 (Friday))

3. b. 2

6x = 7 (mod 11) =>

Since .Multiplicative inverse of 6 is 6.

x = 6 * 7 = 42 = 44 - 2 = 2 (mod 11 )

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