Complex Numbers and Modular Arithmetic

• 1

• 2

• 3

• 4

• -3+2i+3j+k

• 3+3i+2j-k

• -3+2i+5j-2k

• -3-3i+3j-k

• 38

• 30

• 1/2i+1/2j+3/2k

• 1+1/2i+1/2j-k

• 1/2i+3/2j

• 1-1/2i-1/2j-k

(25s)

Which of the following Bipartite Graphs is also an Euler Circuit?

• 0

• 1

• 2

• 3

(25s)

How many leaves does a perfect binary tree of height 7 have?

• 64

• 128

• 256

• 32

(30s)

Observe the graph. Which of the following statements are true?

I: The graph is a tree

II: The graph is a bipartite graph

III: The graph contains an Euler Circuit

IV: The graph contains a Hamilton Path

• I

• I, II

• II, III, IV

• I, IV

(40s)

Observe the completed graph. Which of the following statements are true?

I: The graph is an Euler Circuit

II: The graph contains 78 edges

III: The graph contains a Hamilton Path

• I

• I, II

• I, II, III

• none of the statements are true

• 6

• 7

• 8

• 9