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ICAR AIEEA-PG Farm Machinery Management & Economics: practice questions

ICAR AIEEA-PG — Agricultural Engineering & Technology (Major Subject Group 10) · India · National Testing Agency for ICAR

Original practice questions written to the published syllabus · not past papers
10worked here, free
44written to this exam in this subject
11syllabus units

What this subject covers

Choosing, sizing, costing and replacing machines, and running a custom hiring centre that pays.

In the exams: GATE AG Sections 2 and 3 (machinery cost in 5 of 8 papers 2019–26); ICAR AIEEA-PG Unit V; NCEES PE (ASAE D497/EP496 supplied); PRC ABE machinery management

What ICAR AIEEA-PG asks from it

ICAR AIEEA-PG — Agricultural Engineering (Unit V)

Definitions (field efficiency, timeliness, fixed versus variable cost), formulas and short calculations of capacity, cost and depreciation.

Where the 44 questions fall

How our questions for ICAR AIEEA-PG spread across the units of Farm Machinery Management & Economics. Difficulty: 16 easy, 28 medium, 0 hard.

Fixed costs: depreciation, interest, taxes, insurance and housing7
Depreciation methods: straight line, declining balance, sum-of-years digits7
Theoretical and effective field capacity4
Field efficiency and timeliness4
Variable costs: repair and maintenance, fuel and labour4
Break-even use and custom-hire comparison4
Replacement decisions4
Tractor-implement matching4
Mechanisation policy and subsidies3
Machinery selection and sizing2
Custom hiring centre economics1

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 · Theoretical and effective field capacity · medium

A 3-bottom mouldboard plough with 35 cm bottoms works at 4.5 km/h with 80 % field efficiency. How many hours of field time are needed to plough 12 ha?

  1. 3.17 h
  2. 25.4 h
  3. 31.7 h
  4. 20.3 h
Answer and working

C. 31.7 h

Width = 3 × 0.35 = 1.05 m; theoretical capacity = 4.5 × 1.05 / 10 = 0.4725 ha/h; effective = 0.378 ha/h; time = 12 / 0.378 = 31.7 h. 25.4 h ignores efficiency; 20.3 h multiplies area by efficiency instead of dividing, which makes the job look shorter when losses should make it longer. 3.17 h is a factor-of-ten slip.

2 · Field efficiency and timeliness · medium

For the same machine and operator, why is field efficiency usually higher in a long rectangular field than in a short, irregular plot?

  1. Overlap is not needed in rectangular fields
  2. Headland turning time is a smaller share of total time in long fields
  3. Draft is lower in long fields, so the tractor can be driven at a higher speed
  4. Refilling is not required when fields are long
Answer and working

B. Headland turning time is a smaller share of total time in long fields

Turning time per turn is roughly fixed; a long field needs fewer turns per hectare, so productive time is a larger share. Draft, overlap and refilling needs do not depend on field length in this way.

3 · Field efficiency and timeliness · medium

A farm must harvest 60 ha with a machine of 1.5 ha/h effective capacity, working 10 h per day. Only 60 % of days are fit for harvest. How many calendar days should be planned?

  1. 4 days
  2. 7 days
  3. 10 days
  4. 3 days
Answer and working

B. 7 days

Days = 60 / (1.5 × 10 × 0.6) = 6.67, rounded up to 7. Ignoring the workable-day probability gives 60 / 15 = 4 days, which assumes every day is fit to work. 10 days divides the 4 fit-day answer by the 40 % unfit fraction instead of the 60 % fit fraction (4/0.4); 3 days multiplies by 0.6 instead of dividing (2.4, rounded up).

4 · Machinery selection and sizing · easy

Which cost per hectare falls as the size (width) of a machine increases, other things being equal?

  1. Annual insurance and housing
  2. Operator labour cost
  3. Interest on the purchase price
  4. Annual depreciation charge
Answer and working

B. Operator labour cost

A wider machine finishes in fewer hours, so labour (and timeliness) cost per season falls. Depreciation, interest, insurance and housing all rise with the higher price of a bigger machine.

5 · Variable costs: repair and maintenance, fuel and labour · medium

An operator is paid 75 per hour. The machine's effective field capacity is 0.5 ha/h, and paid labour hours are 10 % more than machine field hours. What is the labour cost per hectare?

  1. 135/ha
  2. 41.25/ha
  3. 150/ha
  4. 165/ha
Answer and working

D. 165/ha

Machine hours per hectare = 1/0.5 = 2 h; labour hours = 2 × 1.1 = 2.2 h; cost = 2.2 × 75 = 165 per hectare. 150 omits the allowance; 41.25 multiplies by capacity instead of dividing. 135 deducts the 10 % instead of adding it (2 × 0.9 × 75).

6 · Depreciation methods: straight line, declining balance, sum-of-years digits · easy

What is the annual rate used in double-declining-balance depreciation for a machine with an 8-year life?

  1. 12.5 %
  2. 18.75 %
  3. 25 %
  4. 20 %
Answer and working

C. 25 %

Double-declining rate = 2/L = 2/8 = 25 % of the opening book value. 12.5 % is the straight-line rate 1/L; 20 % would be the rate for a 10-year life. 18.75 % is the 150 % declining-balance rate (1.5/8).

7 · Break-even use and custom-hire comparison · medium

If the custom-hire rate for an operation rises while the owner's costs stay the same, the break-even use for ownership:

  1. Is unchanged, since it depends only on fixed cost
  2. Falls to a smaller area
  3. Rises, so ownership needs a larger area
  4. Becomes zero, so ownership always pays
Answer and working

B. Falls to a smaller area

x* = FC/(R − VC). A larger R increases the denominator and lowers x*. It never reaches zero while FC > 0. So ownership pays at a smaller area than before.

8 · Replacement decisions · easy

The economic life of a machine is the age at which:

  1. Its annual repair cost first equals its original purchase price
  2. Its average annual cost of ownership and operation is lowest
  3. Its book value reaches zero
  4. It can no longer be repaired
Answer and working

B. Its average annual cost of ownership and operation is lowest

Economic life minimises average annual cost. A machine can often still be repaired well after that age, and book value depends on the accounting method.

9 · Tractor-implement matching · medium

A tractor can deliver 15 kW at the drawbar at 6 km/h. A harrow has a draft of 3.0 kN per metre of width. What is the widest harrow it can pull at that speed?

  1. 5.0 m
  2. 30 m
  3. 0.83 m
  4. 3.0 m
Answer and working

D. 3.0 m

Available pull = power × 3.6 / speed = 15 × 3.6 / 6 = 9.0 kN; width = 9.0 / 3.0 = 3.0 m. 5.0 m divides power by draft per metre, ignoring speed. 30 m is a factor-of-ten slip; 0.83 m forgets the 3.6 conversion (15/6/3.0).

10 · Tractor-implement matching · medium

While ploughing, a two-wheel-drive tractor shows 30 % wheel slip. What is the most appropriate first action?

  1. Add ballast or reduce the draft load until slip falls into the recommended range
  2. Lower tyre pressure below the minimum rating
  3. Remove ballast to lighten the tractor
  4. Increase engine speed to spin the wheels faster
Answer and working

A. Add ballast or reduce the draft load until slip falls into the recommended range

30 % slip wastes power and wears tyres; more weight on the driving wheels or a lighter load reduces it. Removing ballast would raise slip further. Too little slip, on the other hand, signals excess ballast.

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Read the subject

Farm Machinery Management & EconomicsThe full study manual, free ICAR AIEEA-PGFormat, sections and how it has changed

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Farm Machinery Management & Economics for other exams

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