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UPSC Civil Service Exam Questions - Engineering

Q1:

Following data refer to precise measurement of an angle A on the field :
(i) 2A = 20°10' - weight 2
(ii) 4A = 40°10' - weight 3
What is the most probable value of angle A ?

A 10°01'06"

B 10°02'07"

C 10°02'51"

D 10°22'51"

ANS:C - 10°02'51"

2A - weight 2
4A - weight 3

Normal equation for A :
I) 2*2*2A = 80°40'0''.
II) 3*4*4A= 482°00'00''.

Adding (I) & (II):
56A = 562°40'.
Therefore,
A= 10°02'51''.