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Tamil Nadu PSC Surveying & Levelling: practice questions

Tamil Nadu PSC — Agricultural Engineering (Code 164, degree standard) · India · Tamil Nadu Public Service Commission

Original practice questions written to the published syllabus · not past papers
10worked here, free
86written to this exam in this subject
12syllabus units

What this subject covers

Measuring land, levels and volumes, from chain survey to total station and GNSS, and designing land grading.

In the exams: GATE AG Section 4 (surveying asked in 7 of 8 papers 2019–26); ICAR AIEEA-PG Unit VII; TNPSC Unit I; RPSC AAE Unit 1; NCEES PE surveying

What Tamil Nadu PSC asks from it

Tamil Nadu PSC Code 164 (Unit I) and Rajasthan PSC Assistant Agriculture Engineer (Unit 1)

Degree-standard recall and computation: chain survey and obstacles, compass and local attraction, plane-table resection, levelling book reduction, contouring for bunds and terraces, land development and levelling design, and total station.

Where the 86 questions fall

How our questions for Tamil Nadu PSC spread across the units of Surveying & Levelling. Difficulty: 42 easy, 39 medium, 5 hard.

Chain and tape surveying, including tape corrections10
Compass traversing and bearings9
Theodolite traversing and closing error9
Plane table surveying8
Levelling: rise-and-fall and height-of-instrument methods8
Contouring8
Earthwork volume computation7
Reciprocal levelling6
Computation of area: trapezoidal and Simpson's rules6
Total station5
GPS/GNSS surveying5
Land grading and levelling design5

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Chain and tape surveying, including tape corrections · easy

In chain surveying, a well-conditioned triangle is one in which

  1. all three sides are equal
  2. one angle is exactly 90° so the offsets are square
  3. angles are 30°–120°
  4. every angle is less than 30°, giving a long thin triangle
Answer and working

C. angles are 30°–120°

The apex of a triangle is fixed by intersecting arcs; if an angle is very acute or very obtuse, the arcs meet at a flat angle and a small taping error moves the plotted point a long way. The usual rule is to keep angles between about 30° and 120°. An equilateral triangle is ideal but not required, and a right angle has no special merit.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

2 · Compass traversing and bearings · easy

In a prismatic compass, the zero of the graduated ring is placed at the south end because

  1. sighting is through a prism opposite the object, so a north sight must read 0° at that end
  2. the compass reads quadrantal bearings
  3. the magnetic needle points south in the northern hemisphere, so zero must be set at the south
  4. the graduated ring rotates with the line of sight, so its zero must trail the sight vane by 180°
Answer and working

A. sighting is through a prism opposite the object, so a north sight must read 0° at that end

The ring is fixed to the needle and read through the prism at the eye end, diametrically opposite the object vane; to read 0° on a northward sight the zero must sit at the south end, and the figures are written inverted to read correctly through the prism. It reads whole-circle, not quadrantal, bearings, and its ring does not rotate with the sight (that is the surveyor's compass).

Further reading: Punmia, Jain and Jain, Surveying Vol. I

3 · Plane table surveying · medium

Which method of orienting a plane table is the more accurate?

  1. Back-sighting along a previously drawn line
  2. Estimating by eye
  3. Orienting by the sun's position
  4. Using the trough compass
Answer and working

A. Back-sighting along a previously drawn line

Back-sighting relies on a line already plotted, so it is as accurate as the plotting. The trough compass is quick but subject to local attraction and needle errors, so it is used only where no back station is available.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

4 · Levelling: rise-and-fall and height-of-instrument methods · easy

A point on which both a foresight and a backsight are taken in a levelling line is called a

  1. intermediate station
  2. benchmark
  3. change point
  4. station point
Answer and working

C. change point

At a change (turning) point the foresight closes one set-up and the backsight opens the next, carrying the RL forward. A benchmark has a known RL; an intermediate station has only one reading.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

5 · Contouring · easy

Which indirect method of contouring is most suitable for a long narrow strip such as a canal alignment?

  1. Radial lines from a single station
  2. Cross-sections at intervals along the centre line
  3. Grid of squares over the whole area
  4. Direct method on every contour
Answer and working

B. Cross-sections at intervals along the centre line

For a route the ground is profiled along the centre line and cross-sectioned at regular chainages, which directly gives the data for earthwork. Grids suit compact areas; radial tacheometry suits hilly country.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

6 · Theodolite traversing and closing error · easy

A vernier theodolite has main-scale divisions of 20 minutes and 60 vernier divisions. What is its least count?

  1. 1 minute
  2. 20 minutes
  3. 20 seconds
  4. 3 minutes
Answer and working

C. 20 seconds

Least count = value of one main-scale division / number of vernier divisions = 20′/60 = 1/3′ = 20″.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

7 · Theodolite traversing and closing error · medium

Taking the mean of face-left and face-right observations of a horizontal angle eliminates all of the following EXCEPT

  1. line of collimation not perpendicular to the horizontal axis
  2. horizontal axis not perpendicular to the vertical axis
  3. index error of the vertical circle
  4. error due to the vertical axis not being truly vertical
Answer and working

D. error due to the vertical axis not being truly vertical

Face changes reverse the sign of collimation, trunnion-axis and index errors, so they cancel in the mean. A tilted vertical axis tilts the horizontal axis the same way on both faces, so it does not cancel; careful levelling is the only remedy.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

8 · Computation of area: trapezoidal and Simpson's rules · easy

Simpson's one-third rule can be applied directly only when the number of

  1. ordinates is odd (an even number of intervals)
  2. intervals is odd
  3. ordinates exceeds ten
  4. ordinates is even (an odd number of intervals)
Answer and working

A. ordinates is odd (an even number of intervals)

The rule fits a parabola over each pair of strips, so the number of strips must be even and the number of ordinates odd. With an even number of ordinates, the last strip is computed separately by the trapezoidal rule.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

9 · Computation of area: trapezoidal and Simpson's rules · medium

An area measured on a 1:2000 plan is 42.5 cm². What is the ground area?

  1. 17.0 ha
  2. 17000 ha
  3. 1.70 ha
  4. 0.085 ha
Answer and working

C. 1.70 ha

1 cm² on the plan = (20 m)² = 400 m². So 42.5 × 400 = 17,000 m² = 1.70 ha. Scaling by the RF once instead of squared is the classic slip. 17.0 ha is a factor-of-ten slip; 0.085 ha scales by 20 m once (42.5 × 20 = 850 m²) instead of squared.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

10 · Earthwork volume computation · medium

A 40 m long prismoid has end areas 12.0 and 24.0 m² and a mid-section area (computed from the mid-depth) of 17.5 m². What is its volume?

  1. 1413.3 m³
  2. 706.7 m³
  3. 720.0 m³
  4. 700.0 m³
Answer and working

B. 706.7 m³

V = (L/6)(A1 + 4Am + A2) = (40/6)(12 + 70 + 24) = 706.7 m³. Average end area gives 720.0 m³ (an overestimate for a prismoid); using L/3 doubles the answer because L here is the full length. 1413.3 m³ uses L/3; 700.0 m³ multiplies the mid-section area by the length.

Further reading: Punmia, Jain and Jain, Surveying Vol. I

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Read the subject

Surveying & LevellingThe full study manual, free Tamil Nadu PSCFormat, sections and how it has changed

More Tamil Nadu PSC practice

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Surveying & Levelling for other exams

ICAR AIEEA-PG · IndiaGATE · IndiaRajasthan PSC · IndiaASRB NET · IndiaNCEES PE Agricultural and Biological Engineering · USA

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