Question : If $(x-\frac{1}{3})^2+(y-4)^2=0$, then what is the value of $\frac{y+x}{y-x}$?

Option 1: $\frac{11}{13}$

Option 2: $\frac{13}{11}$

Option 3: $\frac{16}{9}$

Option 4: $\frac{9}{16}$

Question : If the nine-digit number 3422213AB is divisible by 99, then what is the value of 2A + B?

Option 1: 11

Option 2: 12

Option 3: 10

Option 4: 13

Question : $\text { If } x^2+y^2+z^2=x y+y z+z x \text { and } x=1 \text {, then find the value of } \frac{10 x^4+5 y^4+7 z^4}{13 x^2 y^2+6 y^2 z^2+3 z^2 x^2}$.

Option 1: 2

Option 2: 0

Option 3: –1

Option 4: 1

Question : An 11-digit number 7823326867X is divisible by 18. What is the value of X?

Option 1: 6

Option 2: 4

Option 3: 8

Option 4: 2

Question : If $2^x+3^y=17$ and $2^{x+2}-3^{y+1}=5$, then:

Option 1: $x= 1, y = 3$

Option 2: $x = 3, y = 3$

Option 3: $x = 3, y = 2$

Option 4: $x = 1, y = 2$