In a row n number of boys are sitting facing north. A boy X is twenty second from the left are another boy Y is thirty three from the right. A boy Z is third to right of X and sixth to the left of in that row. Then n =

Given:

Boy X's position = 22nd from the left.

Boy Y's position = 33rd from the right.

Total persons (n) = (Rank from Left) + (Rank from Right) - 1

X is 22nd from the left.

Z is 3rd to the right of X.

Z's rank from the left = X's rank from left + 3

= 22 + 3

= 25th.

Next, let's find Boy Z's rank from the right end:

Y is 33rd from the right.

Z is 6th to the left of Y (meaning Z is further away from the left end than Y, when counting from the right end).

Z's rank from the right = Y's rank from right + 6

= 33 + 6

= 39th.

Now we have Z's position from both ends:

Z's rank from left = 25th
Z's rank from right = 39th

n = Z's rank from left + Z's rank from right - 1

= 25 + 39 - 1

= 64 - 1

= 63.

Hence, the correct answer is "Option 4".