Question : If $x=\sqrt2+1$, then the value of $x^{4}-\frac{1}{x^{4}}$ is:

Option 1: $8\sqrt2$

Option 2: $18\sqrt2$

Option 3: $6\sqrt2$

Option 4: $24\sqrt2$

Question : Directions: If 1 * 2 = 1, 2 * 3 = –1 and  3 * 4 = –5, then find the value of 7 * 9 = ?

Option 1: –47

Option 2: –29

Option 3: –2

Option 4: –9

Question : If $a, b, c$ are real numbers and $a^{2}+b^{2}+c^{2}=2(a-b-c)-3,$ then the value of $a+b+c$ is:

Option 1: –1

Option 2: 1

Option 3: 3

Option 4: 0

Question : The coordinate of the centroid of a $\triangle$ABC is (2, 2). What are the coordinates of vertex C, if the coordinates of A and B are (7, –1) and (1, 2), respectively?

Option 1: (–2, 5)

Option 2: (2, 5)

Option 3: (–2, –5)

Option 4: (2, –5)

Question : If $(-\frac{1}{2}) \times (x-5) + 3 = -\frac{5}{2}$, then what is the value of $x$?

Option 1: 16

Option 2: 4

Option 3: – 6

Option 4: – 4