Question : If $(p-q)=6,(r-q)=5$ and $(r-p)=3$, then find the value of $\frac{p^3+q^3+r^3-3 p q r}{p+q+r}$.

Option 1: 35

Option 2: 45

Option 3: 30

Option 4: 40

Question : If $p^{3}+3p^{2}+3p=7$, then the value of $p^2+2p$ is:

Option 1: 4

Option 2: 3

Option 3: 5

Option 4: 6

Question : If in a right-angled $\triangle P Q R$, $\tan Q=\frac{5}{12}$, then what is the value of $\cos Q$?

Option 1: $\frac{12}{5}$

Option 2: $\frac{13}{5}$

Option 3: $\frac{12}{13}$

Option 4: $\frac{5}{13}$

Question : Directions: If P means ×, Q means +, R means ÷, and S means –, then 56 R 8 Q 13 S 42 R 21 P 5 = ?

Option 1: 12

Option 2: 8

Option 3: 24

Option 4: 10

Question : If $A:B=3:4$ and $B:C=6:5$, then $C:A$ is

Option 1: $10:9$

Option 2: $9:10$

Option 3: $8:9$

Option 4: $9:8$