# If 56 x 75 x 60 x 84 x 210 = 2 p x 3 q x 5 r x 7 s, then what is

| If 56 x 75 x 60 x 84 x 210 = 2

^{p}x 3^{q}x 5^{r}x 7^{s}, then what is the value of [(p + q)/s] +r?A. 6

B. 8

C. 12

D. 10

Please scroll down to ** see the correct answer ** and ** solution guide.**

### Right Answer is: B

#### SOLUTION

56× 75× 60× 84× 210=2^{p} x 3^{q} x 5^{r} x 7^{s}

2^{8}× 3^{4}× 5^{4}× 7^{3}=2^{p}× 3^{q}× 5^{r}× 7^{r}

P=8

q=4

r=4

s=3