Exams › GATE › Technical

To finalize the direction of a survey, four surveyors set up a theodolite at a station P and performed all the temporary adjustments. From the station P, each of the surveyors observed the bearing to a tower located at station Q with the same instrument without shifting it. The bearings observed by the surveyors are 30° 30′ 00″, 30° 29′ 40″, 30° 30′ 20″ and 30° 31′ 20″. Assuming that each measurement is taken with equal precision, the most probable value of the bearing is

1. 30° 29′ 40″
2. 30° 30′ 20″
3. 30° 30′ 00″
4. 30° 31′ 20″

Correct answer: 30° 30′ 20″

Solution

The most probable value of equally precise observations is their mean. Relative to 30deg30'00'', the seconds are 0, -20, +20, +80, summing to +80, mean +20'', i.e., 30deg30'20''. That is option index 1. The stored answer 30deg30'00'' (index 2) is wrong; correct is 30deg30'20''.

Related GATE Technical questions

• For a thin-walled section shown in the figure, points P, Q, and R are located on the major bending axis X - X of the section. Point Q is located on the web whereas point S is located at the intersection of the web and the top flange of the section. Qualitatively, the shear center of the section lies at
• Consider the following data for a project of 300 days duration. Budgeted Cost of Work Scheduled (BCWS) = Rs. 200 Budgeted Cost of Work Performed (BCWP) = Rs. 150 Actual Cost of Work Performed (ACWP) = Rs. 190 The ‘schedule variance’ for the project is
• The structural design method that DOES NOT take into account the safety factors on the design loads is
• Which one of the following saturated fine-grained soils can attain a negative Skempton’s pore pressure coefficient (A)?
• The following figure shows a plot between shear stress and velocity gradient for materials/fluids P, Q, R, S, and T. Which one of the following options is CORRECT?
• Which one of the following products is NOT obtained in anaerobic decomposition of glucose?

⚔️ Practice GATE Technical free + battle 1v1 →