Given expression = 15/2 + 1/2 ÷ 1/8 - 2/5 x 7/3 ÷ 15/8 x (7/5 - 4/3)
= 15/2 + 4 - 2/5 x 7/3 ÷ 15/8 x 1/15
= 15/2 + 4 - 2/5 x 7/3 ÷ 1/8
= 15/2 + 4 - 2/5 x 7/3 x 8/1

Correct Option: C

Given expression = 15/2 + 1/2 ÷ 1/8 - 2/5 x 7/3 ÷ 15/8 x (7/5 - 4/3)
= 15/2 + 4 - 2/5 x 7/3 ÷ 15/8 x 1/15
= 15/2 + 4 - 2/5 x 7/3 ÷ 1/8
= 15/2 + 4 - 2/5 x 7/3 x 8/1
= 15/2 + 4 - 112/15
= 23/2 - 112/15
= 121/30
= 4¹/₃₀

Given expression = 3/4 ÷ 9/4 of 2/3 - [(1/6) / (5/6)] x 10/3 + 5/6
= 3/4 x 2/3 - 1/6 x 6/5 x 10/3 + 5/6
= 1/2 - 2/3 + 5/6
= (3 - 4 + 5) / 6

Correct Option: C

Given expression = 3/4 ÷ 9/4 of 2/3 - [(1/6) / (5/6)] x 10/3 + 5/6
= 3/4 x 2/3 - 1/6 x 6/5 x 10/3 + 5/6
= 1/2 - 2/3 + 5/6
= (3 - 4 + 5) / 6
= 4 / 6
= 2 /3

Let 5/6 ÷ 6/7 x N - 8/9 ÷ 8/5 + 3/4 x 10/3 = 25 / 9
Then, 5/6 x 7/6 x N - 8/9 x 5/8 + 5/2 = 25/9
⇒ 35N / 36 = 25/9 + 5/9 - 5/2
⇒ 35N / 36 = (50 + 10 - 45) / 18 = 5/6

Correct Option: B

Let 5/6 ÷ 6/7 x N - 8/9 ÷ 8/5 + 3/4 x 10/3 = 25 / 9
Then, 5/6 x 7/6 x N - 8/9 x 5/8 + 5/2 = 25/9
⇒ 35N / 36 = 25/9 + 5/9 - 5/2
⇒ 35N / 36 = (50 + 10 - 45) / 18 = 5/6
∴ N = (5/6 x 36/35) = 6/7

Let 47/3 x 19/6 + 19/3 = 205 / 18 + N
Then, N = 893/18 + 19/3 - 205/18

Correct Option: D

Let 47/3 x 19/6 + 19/3 = 205 / 18 + N
Then, N = 893/18 + 19/3 - 205/18
⇒ N = 893 + 114 - 205 / 18
∴ N = 802 / 18 = 44⁵/₉

Given expression = 15/2 -[9/4 ÷ {5/4 - 1/2(3/2 - 1/3 - 1/6)}]
= 15/2 -[9/4 ÷ {5/4 - 1/2 x 1}]
= 15/2 -[9/4 ÷ {5/4 - 1/2}]
= 15/2 -[9/4 ÷ 3/4] = 15/2 - [9/4 x 4/3]
= (15/2 - 3)
= 9 / 2 = 4¹/₂

Correct Option: C

Given expression = 15/2 -[9/4 ÷ {5/4 - 1/2(3/2 - 1/3 - 1/6)}]
= 15/2 -[9/4 ÷ {5/4 - 1/2 x 1}]
= 15/2 -[9/4 ÷ {5/4 - 1/2}]
= 15/2 -[9/4 ÷ 3/4] = 15/2 - [9/4 x 4/3]
= (15/2 - 3)
= 9 / 2 = 4¹/₂