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# GATE (CE) : Transportation Engineering & Surveying #13

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Question 1

A derived quantity's' is given by
s = (4.86)2
The maximum error in 's' is

Question 2

If an angle is measured with a standard deviation of ±3", then the most probable error is _________ seconds.

Question 3

Which of the following statements are rightly associated with the laws of weights in the theory of errors?
1) If an equation is multiplied by its own weight, then the weight of the resulting equation is equal to the reciprocal of the weight of the original equation.
2) The weight of the algebraic sum of two or more quantities is equal to the reciprocal of the sum of the individual weights.
3) If the quantity of a given weight is multiplied with a factor, then the weight of the resulting quantity is obtained by dividing the original weight by the square root of that factor.
4) If the quantity of a given weight is divided by a factor, then the weight of the resulting quantity is obtained by multiplying the original weight by the square of that factor.

Question 4

The side of a square land was measured as 150 m and is in error by 0.05 m. What is the corresponding error in the computed area of the land?

Question 5

Measurement of a line was taken ten times with a steel tape and found to be as under 100.54 m, 100.56 m, 100.38 m, 100.36 m, 100.39 m, 100.46 m, 100.48 m, 100.32 m, 100.47 m, 100.52 m
Assuming that the measurements have been corrected for all systematic errors, then the standard deviation of the mean is ______cm.

Question 6

In a survey work, three independent angle, X, Y and Z were observed with weight WX, WY, Wz respectively. The weight of the sum of angles X, Y and Z is given by:
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