Question : If $x^2-\sqrt{7} x+1=0$, then $\left(x^3+x^{-3}\right)=?$

Option 1: $4 \sqrt{7}$

Option 2: $3 \sqrt{7}$

Option 3: $10 \sqrt{7}$

Option 4: $7 \sqrt{7}$

Question : $4^{11}+4^{12}+4^{13}+4^{14}$ is divisible by:

Option 1: 7

Option 2: 14

Option 3: 17

Option 4: 9

Question : $3^{11}+3^{12}+3^{13}+3^{14}$ is divisible by:

Option 1: 7

Option 2: 8

Option 3: 11

Option 4: 14

Question : If $a^2+b^2+1=2 a$, then the value of $a^4+b^7$ is:

Option 1: 1

Option 2: 0

Option 3: 2

Option 4: 4

Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:

Option 1: $7$

Option 2: $\frac{7}{2}$

Option 3: $-7$

Option 4: $-\frac{7}{2}$