for the answer regarding that traverse problem you can check it by calculating like this,

total error in departure=difference of (summation of easting-summation of westing), similarly error in latitude=(summation of northing)-(summation of southing),

the answer comes as error latitude as=(101+419)-(437+83)=0,

and error in departure=(173+558)-(96+634)=+1,

hence the +1 error indicates the error towards +ve x axis, and the angle is taken from vertical axis(y-axis) therefore the answer is A. (conventionally +x axis and +y axis are considered first quadrant)

and for all those question that you have doubt regarding range(NAT) kindly post your doubt on the discussion link provided(with the question itself) and there you can ask to increase or modify the range according to your slight difference problems alongwith proof that how you got that, if the error will be justified the correction will be done accordingly.

Rather you can post the actual range provided in the gate answer key there.(just arrived)