If I = (3/4) ÷ (5/6), II = 3 ÷ [(4 ÷ 5) ÷ 6], III = [3 ÷ (4 ÷ 5)] ÷ 6, IV = 3 ÷ 4 ÷ (5 ÷ 6), then

A I and II are equal

B I and III are equal

C I and IV are equal

D All are equal

Correct Answer: Option C

I = (3/4) ÷ (5/6)
= (3/4) x (6/5)
= (9/10)

II = 3 ÷ [(4 ÷ 5) ÷ 6]
= 3 ÷ {(4/5) x (1/6)}
= 3 ÷ (4/30)
= 3 x (30/4)
= (45/2)

III = [3 ÷ (4 ÷ 5)] ÷ 6
= [3 ÷ (4/5)] ÷ 6
= [3 x (5/4)] ÷ 6
= (15/4) x (1/6)
= (5/8)

IV = 3 ÷ 4 ÷ (5 ÷ 6)
= 3 ÷ 4 ÷ (5/6)
= (3/4) x (6/5)
= (9/10)

So, I and IV are equal.