1.

Consider the following statements 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 that 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 by a factor, then the weight of the result is obtained by dividing its given weight by the square of that factor.

4. If the quantity of a given weight is divided by a factor, then the weight of the result is obtained by multiplying its given weight by the square of that factor.

Which of the above statements are correct?

2. If the azimuths of the two tangents to a circular curve of radius 100 m are due north and due east, then the area bounded by the two tangents and the circular curve will be

3. The fix of a plane table from three known points is good if

4.

Fore bearings (FB) and back bearings (BB) of lines PQ and QR have been measured as:

The correct value of the interior angle PQR will be

5.

A circle of radius 7 m has a standard error of 0.02 m on the radius. The standard error of its area is

6. In trigonometric levelling, if the horizontal distance between the instrument and the object is 3088 m, the coefficient of refraction is 0.07 and R sin 1” = 30.88 m, then the refraction correction in angular measure would be

7. When the bubble of a level tube was moved by 10 divisions, the change in staff intercept was 0.05 m. If the distance between the staff and the instrument was 100 m, then the sensitivity of the bubble tube is given by

8. The distance between two benchmarks is 1000 m. If during levelling, the total error due to collimation, curvature and refraction is found to be +0.120 m, then the magnitude of the collimation error is

9. In an old map, line PQ was drawn to a magnetic bearing of 6°32'. The magnetic declination at that time being 1° East. The present magnetic declination is 9°42' East.
The magnetic bearing to which the line is set at present will be

10. The ratio of the "standard error of a single observation of unit weight" to the standard error of the arithmetic mean of 'n' observations, all of unit weight, will be

11. An imaginary line passing through the optical centre of the objective and the optical centre of the eye-piece in the telescope or a surveying instrument is called the

12. The smallest scale adopted for topographical surveys is

13.

Given that

• Scale of photograph is 1 cm = 100 m

• Size of photograph = 23 cm × 23 cm

• Area to be covered = 1.50 sq km

• Longitudinal overlap = 60%

• Side overlap = 30%

The total number of photographs required for covering the above area is

14.

If the standard meridian is 82°30' E and the standard time at longitude 90° E is known to be 8 h 30 m, the corresponding local mean time at the place will be

15.

A sewer is laid from a manhole A to a manhole B, 250 m apart along a downward gradient of 1 in 125. If the reduced level of the invert at A is 205.75 m and the height of the boring rod is 3 m, then the reduced level of the sight rail at B is

16. In a closed theodolite traverse, the sum of the latitudes is -5.080 m and the sum of the departures is -51.406 m. The sum of the traverse legs is 520.525 km. The accuracy of traverse is nearly equal to

17. The length of a transition curve for a circular curve of radius 300 m and for a design speed of 15 m/s, when the rate of change of centrifugal acceleration is 0.3 m/s³, is

18.

Match List I with List II

Select the correct answer using the codes given below the lists:

19. The two-peg test in the adjustment of a dumpy level employs the principle that

20. A plan of an area drawn with the original scale of 1 cm = 10 m has shrunk such that a line, originally 15 cm long on the plan, measures now 14.5 cm. The shrunk scale is given by 1 cm equal to

21. The difference between the sum of the angles of a plane triangle and the sum of the angles of a spherical triangle is one second when the triangle on the earth surface has an area of about

22. If R is the radius of the main curve, θ the angle of deflection, S the shift and L the length of the transition curve, then the total tangent length of the curve is given by

23. Which one of the following specifications for length of base line refers to third order triangulation system?

24.

Consider the following statements pertaining to plane table survey:
(1) Two-point problem is solved by mechanical method.
(2) Three-point problem is solved by Bessel’s method.
(3) In two-point problem, auxiliary station is required.

Of these statements:

25.

Which of the following characteristic features may be used while plotting a contour plan?

(1) two contour lines having the same elevation cannot unite and continue as one line.
(2) contour lines close together indicate a gentle slope.
(3) contour lines cross a valley line at right angles.

Select the correct answer using the codes below.

26.

Which of the following are the fundamental lines of a theodolite?

(1) the vertical and horizontal axes
(2) the diagonally opposite screw lines
(3) the line of collimation and axes of the plate levels
(4) the bubble line of the attitude level

Select the correct answer using the codes below.

27. The representative fraction 1/2500 means that the scale is 1 cm equal to:

28. It is required to determine by periodical soundings, the rate at which silting or scouring is taking place in a harbour.
Which one of the following methods is best suited for locating the positions of the soundings?

29.

Match List I with List II

Select the correct answer using the codes given below the lists:

30. In photogrammetric surveying, the image of the top of the hill is 90 mm from the principal point of the photograph. If the elevation of the top of the hill is 500 m and the flying height is 5000 m above datum, then the relief displacement is:

31. A star is observed at its western elongation.
If the latitude of place of observation is ϕ, the declination of star is δ, altitude of the star at elongation is α, then the hour angle H is given by:

32.

Following statements pertain to the position of sun when it lies over the first point of aries:

(1) its hour angle is zero.
(2) its right ascension is zero.
(3) its declination is zero.

Of these statements:

33. In a trigonometric levelling, the height of the signal used is 4.62 m and the instrument height is 1.25 m. If the horizontal distance of the target from the instrument is 5780 m, then the axis-signal correction is:

34.

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?

35. The number of independent conditions required to be satisfied for the adjustment of a braced quadrilateral in triangulation survey is:

36. For a simple circular curve, which one of the following gives the correct relation between the radius, R and degree of curve D, for 20 m arc length?

37. The radius of curvature of an ideal transition curve should be:

38.

Match List I with List II and select the correct answer using the codes given below the lists:

39. In a plane table survey, the plane table station position was to be fixed with respect to three reference points. It was found that one of the reference points was not visible due to some obstruction. It was, therefore, decided to make use of the other two points only.
Which one of the following statements is true regarding the determination of station position?

40. Which one of the following gives the correct distance between the lighthouse and a ship, when the lighthouse whose height is 100 m is visible just above the horizon from the ship?

41. A and B are two traverse stations free from local attraction errors. If the true bearing of a line AB is 89°, and the magnetic declination at point A is 1° West, then the magnetic bearing of the line BA would be:

42. The "backsight" reading on a vertically held staff at a point A on the floor along the centre line of a railway tunnel is 3.465 m, and the "foresight" on the inverted staff held at the roof of the tunnel just vertically above A is 1.155 m. The height of the tunnel along the centre line at floor point A is:

43. If the staff intercept on a staff located at 100 m from the level for five division deviation of the bubble is 0.050 m and if the length of one division of the bubble is 2 mm, then the radius of curvature of the bubble tube is:

44.

Which of the following variations of magnetic declination are correctly matched?

1. diurnal variation – variation whose time period varies from 100–350 years

2. annual variation – annual rate of change of secular variation

3. secular variation – indefinite variation of declination periodic in character

4. irregular variation – caused due to magnetic storms in earth’s magnetic field

45. Which one of the following closely represents the shape of the earth?

46.

Match List I with List II and select the correct answer using the codes given below the lists:

47.

Match List I with List II and select the correct answer using the codes given below the lists:

48. If the difference in height of two points whose parallax difference is (+)0.8 mm on a pair of stereo pair taken from a flying height H and having mean photo base 95.2 m is (+)100 m, then the flying height H will be:

49.

Match List I with List II and select the correct answer using the codes given below the lists:

50.

Consider the following statements:
At the two transits of a star over a meridian:

1. co-declination remains same

2. co-altitude does not remain same

3. hour angle differs by 12 hours

Of these statements:

51. Declination and right ascension will be 0° and 12 hours for the sun, when it lies over:

52. If in a triangle ABC, b = 300 m and angle ABC = 60°, then the radius of the circular curve passing through the points A, B and C will be:

53.

Consider the following statements:
Besides contours, relief on topographic maps is represented in general, by:

1. hachures

2. point heights

3. hypsometric tints

4. hill shading

Of these statements:

54.

Match List I with List II and select the correct answer using the codes given below the lists:

55.

Consider the following steps:

1. Using Lehmann's rule, an improved position of station point is obtained.

2. Procedure is repeated till the triangle of error is reduced to a point.

3. "Triangle of error" is obtained.

4. The plane table is levelled over the station point.

5. Three resection lines are drawn from three well-defined station points.

The correct sequence of the "Lehmann’s procedure" for solving the "three-point problem" is:

56.

In theodolite traversing, for the calculation of independent rectangular coordinates from the field observations, some of the computations are indicated below:

1. Computation of reduced bearing of each traverse leg

2. Calculation of the closing error

3. Balancing of consecutive coordinates

4. Calculation of consecutive coordinates

The correct sequence in which these computations are to be made is:

57.

In a closed traverse, the following computations were made:

Consider the following conclusions drawn from the above computations:

1. Reduced bearing of DA = S 45° W

2. W.C.B. of DA = 225°

3. Departure of DA = +685.0

4. Latitude of DA = +685.0

Of these conclusions,

58. ABCD is a regular parallelogram plot of land, whose angle BAD is 60°.
If the bearing of the line AB is 30°, then the bearing of the line CD is:

59.

The following bearings were taken in running a closed compass traverse ABCDA:

60.

When a theodolite is in proper adjustment, which of the following conditions between fundamental lines are satisfied?

1. Axis of the plate level is perpendicular to the vertical axis.

2. The line of collimation is at right angles to the vertical axis.

3. The axis of the altitude level is parallel to the line of collimation when it is horizontal and the vertical circle reads zero.

Select the correct answer using codes below:

61. If the downhill end of a 20 m tape is held 80 cm too low, then its horizontal length will be:

62.

The following equipment can be used to layout horizontal angles in the field:

1. Microptic theodolite

2. Chain and metallic tape

3. Vernier theodolite

4. Prismatic compass

The correct sequence of the decreasing order of their accuracies is:

63.

Match List I with List II and select the correct answer using the codes given below:

64. In an aerial photo, the image of the top of a tower is found to be 10 cm from the center of the photograph. If the height of the tower is 100 m and the flying height of the aircraft is 1000 m above the average terrain height, then the height displacement of the image from the true position will be:

65.

Consider the following statements regarding the longitude of a place:
It is determined by:

1. wireless time signals

2. transportation of chronometers

3. electric telegraph

Which of these methods are correct?

66. The local sidereal time (LST) is always:

67. A star is observed at its upper culmination when it is north of zenith. The latitude of the place of observation is 30°N and declination of the star is 50°N. The zenith distance of the star is:

68.

Match List I with List II and select the correct answer using the codes given below the lists.

69.

Consider the following statements regarding base-line measurements:

1. Very precise measurement can be done only on densely cloudy days or at nights.

2. Error due to application of non-standardized pull on the tape can be either cumulative or compensating type.

3. Intermediate obstructions in the measurement on baselines can be cleared by erecting towers.

Which of these statements are correct?

70. If the gradient of a ground is –3%, that of another ground intersecting with the former is 5%, and the horizontal length of the vertical curve to be drawn is 600 m, then the vertical offset ‘e’ from the vertex of the vertical curve to the mid-point of the curve will be:

71.

Match List I with List II and select the correct answer using the codes given below the lists.

72.

Match List I with List II and select the correct answer using the codes given below the lists.

73. Consider the following statements regarding plane table surveying:
(1) it is less accurate than chain surveying.
(2) it is not necessary to do accurate centering in plane table for small scale maps.
(3) compass surveys may be made useful by adjusting the plane table traverse.
(4) from the instrument station, radial lines are drawn to plot the position of objects in the field.
Which of the statements given above are correct?

74.

The coordinates of two end-points A and B of a traverse line AB are:

XA = 1000.00 m, Ya = 1000.00 m
XB = 2000.00 m, Y = 1000.00 m

The bearing of the line AB will be

75. In setting out a long straight line for the erection of transmission towers, it is recommended that the forward point be viewed with both face-right and face-left with reference to the preceding point in mean position to be taken. This field procedure eliminates the instrumental error when

76. A 100 m tape is held 1 m out of line. Then the true length is

77.

The area of a plot is to be determined using Simpson’s rule. The following offsets were taken to a boundary from points along a chain line, all measurements being in metres:
12, 15, 22, 29, 36, 38, 31, 22, 17
These were taken at 100 m intervals. Consider the following steps in this regard:

1. (12+17)/2=19.5

2. sum of the odd ordinates = 22+36+31=89

3. sum of the even ordinates = 15+29+38+22=104

4. 12+17=39

5. area = 100×(19.5+89+104)

6. area = 100/3(39+2×89+4×104)

7. area =  100 × 19.5(104 - 89).

The area of the plot can be determined by using the steps listed above at

78. Which one of the following statements best defines a ‘level surface’?

79. A 30 m steel tape was standardized at 20°C and measurements of distances were taken at 15°C. If the coefficient of linear expansion of the material of the tape were 0.0000112 per degree Celsius, then the error, due to temperature, per tape length would be

80. If a 30 m length can be taped with a precision of ±0.01 m, then the standard error in measuring 1.08 km with the same precision will be

81. A plot of land 60 m × 20 m is measured by a steel tape. If the standard error of length and width measurements is taken as ±1 cm, then the standard error of the area of the plot would be

82. A heliograph is a type of

83. To determine the length of a bridge proposed to be built across a wide river, the surveying method of choice would be

84.

Consider the following assumptions of Bowditch method:
(1) Angular measurements are more precise than linear measurements.
(2) Linear measurements are more precise than angular measurements.
(3) Errors in linear measurements are proportional to √L.
(4) Correction to latitude or departure of any side =

Total error in L (or D)×Length of that side/Perimeter of traverseLength of that side​​

Which of these statements are correct?

85.

The true bearing of a line is 34° 20′ 40″ and the magnetic declination at the place of observation is 2° 00′ 20″ W on the date of observation. The magnetic bearing of the line is:

86.

A lighthouse is visible just above the horizon at a certain station at the sea level. The distance between the station and the lighthouse is 40 km. The height of the lighthouse is approximately:

87.

Two points A and B are 1530 m apart across a river. The reciprocal levels measured are:

The true difference in level between A and B would be

88.

The declination of a star is 21°15′ N at a latitude of 43°30′ N. The zenith distance at the upper culmination is:

89.

Which one of the following methods estimates best the area of an irregular and curved boundary?

90.

Given that δ denotes declination, θ the latitude of the place of observation and α the altitude of a star at the prime vertical:

91.

Match List I (statement) with List II (situation) and select the correct answer using the codes given below the lists:

92.

An observer standing on the deck of a ship just sees the top of a lighthouse which is 30 m above the sea level. If the height of the observer’s eye is 10 m above the sea level, then the distance of the observer from the lighthouse will be nearly:

93.

The true length of a line is known to be 200 m. When this is measured with a 20 m tape, the length is 200.80 m. The correct length of the 20 m tape is:

94.

If an overlapping pair of vertical photographs taken with a 150 mm focal length camera has an air base of 2100 m and the elevation of the control point A on it is 900 m above MSL and the parallax of the point is 75 mm, then the flying height above MSL of the stereopair will be:

95.

For a chord of 60 m, the mid-ordinate for a circular curve of 50 m radius will be:

96.

The direction of the magnetic meridian is established at each traverse station and the direction of the line is determined with reference to the magnetic meridian. This method of traversing is called:

97.

Which one of the following methods would give accurate results in determining the direction of the observer's meridian?

98.

Match List I with List II and select the correct answer using the codes given below the Lists:

99.

An image of the top of the hill is 96 mm from the principal point of the photograph. The elevation of the top of the hill is 500 m and the flying height is 4000 m above the datum. The relief displacement will be:

100.

In an external focusing tacheometer, the fixed interval between stadia hairs is 5.5 mm, the focal length of the objective is 25 cm, and the distance of the vertical axis of the instrument from the optical centre of the objective is 15 cm. Which one of the following is the set of constants of the tacheometer?