Question : In a completely connected network, how many lines are required for connecting 6 nodes?

Option 1: 12

Option 2: 15

Option 3: 30

Option 4: 24

Question : In a _________ network, all nodes are connected to a single communication line and share it for all their communication needs.

Option 1: ring

Option 2: completely connected

Option 3: star

Option 4: multi-access bus

Question : What are the coordinates of the centroid of a triangle whose vertices are A (2, 5), B (–4, 0), and C (5, 4)?

Option 1: (–1, 3)

Option 2: (1, 3)

Option 3: (1, –3)

Option 4: (–1, –3)

Question : If $m+n=-2$, then the value of $m^{3}+n^{3}-6mn$ is:

Option 1: 8

Option 2: 4

Option 3: –8

Option 4: –4

Question : If $\mathrm{N}+\frac{1}{\mathrm{~N}}=\sqrt{3}$, then find the value of $\mathrm{N}^6+\frac{1}{\mathrm{~N}^6}+11$.

Option 1: –11

Option 2: –2

Option 3: 11

Option 4: 9