Question : If $9 a+9 b+9 c=81$ and $4 a b+4 b c+4 c a=160$, then what is the value of $6 a^2+6 b^2+6 c^2$?

Option 1: 1

Option 2: 3

Option 3: 4

Option 4: 6

Question : $a$% of $b$ + $b$% of $a$ = ?

Option 1: $2a$% of $b$

Option 2: $2a$% of $2b$

Option 3: $2a$% of $2a$

Option 4: $2b$% of $2b$

Question : What is the value of (a + b + c) {(a - b)² + (b - c)² + (c - a)²}?

Option 1: $2 a^3+2 b^3+2 c^3$

Option 2: $2a^3+2b^3+2c^3-6abc$

Option 3: $3abc$

Option 4: $6abc$

Question : If $a^2+b^2+c^2=ab+bc+ca$, then the value of $\frac{11a^4+13b^4+15c^4}{16a^2b^2+19b^2c^2+17c^2a^2}$ is:

Option 1: $1 \frac{1}{3}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{3}{4}$

Option 4: $1 \frac{3}{4}$

Question : If $\sec\theta+\tan\theta=a$, then what is the value of $\sec\theta$?

Option 1: $\frac{a+1}{2a^2}$

Option 2: $\frac{(a-1)}{2a^2}$

Option 3: $\frac{a^2-1}{2a}$

Option 4: $\frac{a^2+1}{2a}$