Agricultural Engineering- AG 2016 GATE Paper (Practice Test) - GATE MCQ

(x % of y) + (y % of x) is equivalent to

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.

Q. 6 – Q. 10 carry two marks each.

Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested with them. The rates of interest offered by these companies may differ from year to year. Year-wise annual rates of interest offered by these companies are shown by the line graph provided below.

 
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts received after one year as interests from companies P and Q would be in the ratio: 

Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the availability of evidence today.

Which of the following can be logically inferred from the above sentences?

Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.

If the above statements are facts, which of the following can be logically inferred?
 
I .  All mammals build houses.
II.  Engineers are mammals.
III. Some humans are not engineers.

A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?

Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the book at the same time. After how many hours is the number of pages to be read by Ananth, twice that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.

Q. 11 – Q. 35 carry one mark each. 

With n being a positive integer, the series   for p > 1 is 

The general solution of the differential equation   is 

The function f(x) = x² -x -6 is 

The function f(x) represents a normal distribution whose standard deviation and mean are 1 and 5, respectively. The value of f(x) at x = 5 is 

A watershed area of 1851 hectare has maximum distance of 7.12 km from the outlet to the farthest point on the divide line. The form factor of the watershed is 

The normal annual rainfall for 5 rain guage stations A, B, C, D and E in a watershed were 112.7,120.4, 118.3, 125.2 and 110.6 cm, respectively. In a particular year, the rain gauge installed at station C failed to record rainfall. In the same year the rain gauges at stations A, B, D and E recorded annual rainfall of 114.9, 118.3, 122.6 and 114.5 cm, respectively. The estimated rainfall at station C in that particular year in cm was __________ 

Annual average soil loss from a watershed has been measured as 20 Mg ha^-1 AG 
year^-1. Watershed has 8% land slope and 84 m maximum slope length. Assume all other factors same and dimensionless exponent for slope factor is 0.5. To reduce soil loss from the watershed to 10 Mg ha-1 year^-1 , the maximum slope length in m should be ____________

In a cropped field, the following data are observed.

Bulk density of soil = 1.5 Mg m^-3
Moisture content at field capacity (weight basis) = 36%
Current moisture content (weight basis) = 24%
Effective root zone depth = 0.8 m
Conveyance efficiency = 80%
Application efficiency = 90%
To bring soil moisture content to field capacity, the depth of irrigation in mm will be ______

The correct conditions for which the hydraulically efficient rectangular channel will deliver maximum discharge are

P – depth of water is equal to half the breadth of channel
Q – depth of water is equal to breadth of channel
R – depth of water is equal to twice the breadth of channel
S – hydraulic radius is equal to half the depth of water

The most suitable hydraulic structure for conveying water from higher elevation to lower elevation across the earthen bund is

Match the following
(P) Waste valve                (1) Jet pump
(Q) Plunger                       (2) Centrifugal pump
(R) Foot valve                  (3) Reciprocating pump
(S) Nozzle and venturi     (4) Hydraulic ram

The ASAE-SAE standard for tractor 3-point hitches has been categorized as Category I to IV on the basis of

A force of 8.0 kN is applied perpendicularly to the axis of a crankpin having circular crosssectional area. The allowable shear stress of the crankpin material
is 40.0 N mm^-2 . If the crankpin fails under double shear, the design diameter of the crankpin in mm is ___________ 

A vertical rotor planter has 8 cells on each rotor. The rolling radius of the ground wheel is 200 mm. The ratio of rpm of the ground wheel to that of the rotor shaft is 2:3. If the planting is done at a forward speed of 3.5 km h^-1 , the plant spacing in the rows in mm will be _____________ 

The effective temperature (ET) scale developed in 1972 on the basis of a human model is 

As per ASAE standards, the diameter of 1000 rpm-PTO shaft with 20 splines is 

In restrained link operation of three point hitches, the line of pull passes

A gear pump discharges 100 L min^-1 against a system pressure of 15 MPa. The overall efficiency of the pump is 0.75. Input power to run the pump in kW is ___________ 

A 2.5 m long pipe is insulated at both ends. It has ID and OD as 50 mm and 56 mm, respectively. Its log-mean heat transfer area in m² is ________________