Question : If $26a + 26b = 234$, then what is the average of $a$ and $b$?

Option 1: 9

Option 2: 4.5

Option 3: 5.5

Option 4: 5

Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?

Option 1: 5 : 7

Option 2: 3 : 4

Option 3: 5 : 9

Option 4: 4 : 5

Question : If P : Q : R = 4 : 7 : 9 and R : S = 2 : 5, then what is the value of P : S?

Option 1: 8 : 45

Option 2: 1 : 5

Option 3: 9 : 57

Option 4: 10 : 43

Question : If A : B = 3 : 4 and B : C = 1 : 5, then what is A : C?

Option 1: 3 : 20

Option 2: 3 : 4

Option 3: 1 : 4

Option 4: 3 : 5

Question : if $\frac{a}{b}=\frac{2}{3}$ and $\frac{b}{c}=\frac{4}{5}$, then $(a+b):(b+c)$=?

Option 1: 3 : 4

Option 2: 4 : 5

Option 3: 5 : 9

Option 4: 20 : 27

Question : If the third proportion of 3 and $x$ is 27 and the third proportion of 2 and $y$ is 8, then find $x : y$.

Option 1: 7 : 9

Option 2: 4 : 5

Option 3: 3 : 7

Option 4: 9 : 4