Linear Algebra: Matrices and determinants, systems of linear equations, Eigen values and eigen vectors. Calculus: Limit, continuity and differentiability; partial derivatives; maxima and minima; sequences and series; tests for convergence; Fourier series, Taylor series.

Eigen values of the matrix are (A) 1 and 2             (B) 1 and 3 (C) 1 and 4            (D) 2 and 3

Integrating the function f (x) = 1 + e−x sin (4x) over the interval [0, 1] using Simpson’s 1/3rd rule gives (A) 1.021         (B) 0.091 (C) 1.321         (D) 2.642

The curl of the vector A= xyi + yzj + zxk (i, j and k represents unit vectors along the three orthogonal axis) is (A) xi + yj + zk         (B) – xi – yj – zk (C) yi + zj + xk          (D) – yi - zj - xk

For station X, the maximum one day rainfall with 25 years return period is 100 mm. The probability of a on day rainfall equal to or greater than 100 mm at station X occurring at least once in 15 successive years is (A) 0.458             (B) 0.500 (C) 0.637            (D) 0.990

Inverse Laplace Transform of 1/(s - 2)2 is (A) exp(2t)            (B) t exp(2t) (C) 2t exp(2t)         (D) t2 exp(2t)

Sun’s radiation corresponding to that of a black body temperature is about (A) 50000 K           (B) 60000 K (C) 70000 K           (D) 140000 K

Direction of rotation can be reversed in (A) 2- stroke engine           (B) 4- stroke engine (C) Both (A) and (B)          (D) None of these

A hunting governor is ………. (A) Less sensitive       (B) More sensitive (C) More stable           (D) None of these is correct

Q. 1 Which option about the statements made below is correct? (1) The cooling system maintains engine temperature at 71 to 82ºC for petrol engines. (2) The thermostat valve begins to open at about 60oC and opens widely at about 71ºC. (A) Statement (1) is true, but statement (2) is false. (B) Statement (2) is true, but statement (1) is false. (C) Both statements (1) and (2) are true. (D) Both Statements (1) and (2) are false.

Q. 1 In which of the following tractor components, the speed reduction takes place?  (A) Gear box        (B) Differential (C) Final drive       (D) All of the above

Q. 1 Improper wheel balancing results in :- (A) Excessive tyre pressure       (B) Excessive tyre speed (C) Excessive tyre wear             (D) All above

Q. 1 Toe-in and toe-out are related with (A) Front axle of tractor     (B) Rear axle of tractor (C) Tractor steering           (D) Transmission system

Q. 1 A device which is used to store energy in hydraulic system is known as (A) Motor             (B) Cylinder (C) Accumulator  (D) Pump

Q. 1 In agricultural tractors, the vibration level is in the range of .......... Hz. (A) 0 – 2         (B) 2 - 8 (C) 8 – 20       (D) More than 20

Q. 1 If the forward speed of a tractor drawn seed drill is increased twice, then the seed rate delivered will be (A) Reduced to half            (B) Double (C) Increased by four time (D) Remains the same

Q. 1 Operating speed of power sprayer varies from (A) 2 - 5 km /hr          (B) 4.8 - 8 km /hr (C) 10 - 20 km /hr      (D) 20 - 35 km /hr

Q. 1 While operating a combine harvester, the grain not collected by the machine is called (A) Field loss         (B) Shattering loss (C) Gathering loss (D) Reel loss

Q. 1 Weight of a manually operated chaff cutter’s fly wheel should not be below than (A) 24 kg      (B) 30 kg (C) 32 kg      (D) 35 kg (E) 27 kg

Q. 1 Annual depreciation of a machine is included in (A) Fixed cost         (B) Variable cost (C) Hiring cost         (D) None of the above

Q. 1 Density of water is:- (A) 1000 kg/m3    (B) 500 kg/m3 (C) 1500 kg/m3    (D) 2000 kg/m3

Q. 1 Hygrophilic soils are those (A) Which attract water       (B) Which do not attract water (C) Which transmit water    (D) Which produce water

Q. 1 The Lysimeter is used to determine (A) Sun shine hours   (B) Wind velocity (C) Flow velocity        (D) Evapotranspiration

Q. 1 The development of a tube well should be started from :- (A) Middle of screen      (B) Top of screen (C) Bottom of screen     (D) Bottom of casing pipe

Q. 1 A submersible pump may be (A) Single stage pump       (B) Multi stage pump (C) Centrifugal pump         (D) Both (A) and (B)

Q. 1 When flow parameters change with time but remain constant with space the flow is called as:- (A) Unsteady uniform flow       (B) Steady uniform flow (C) Steady non-uniform flow   (D) Unsteady non-uniform flow

Q. 1 Which of the following is a correct match? (A) Mole drain = pump drainage (B) Vertical drainage = well drain age (C) Pipe drain = well drainage (D) Horizontal drain = bio-drainage

Q. 1 Which type of gully is formed on flat land? (A) U-shaped  (B) V-shaped (C) L-shaped   (D) T-shaped

Q. 1 Fore sight is also known as (A) Positive sight            (B) Minus sight (C) Intermediate sight     (D) Vertical sight

Q. 1 Psychrometric chart is a graphical representation of which properties of air (A) Chemical        (B) Aerodynamic (C) Hygroscopic   (D) Thermodynamic

Q. 1 LSU dryer was developed at (A) London State University       (B) Ludhiana State University (C) Lucknow State University     (D) Lusiana State University

Q. 1 Which of the following is not a type of grinder ? (A) Attrition mill      (B) Burr mill (C) Hammer mill     (D) Solvent extraction mill

Q. 1 The high moisture grain should be kept in (A) Air tight structure     (B) Aerated structure (C) Pucca kothi             (D) Gunny bags in closed room

Q. 1 Unit of refrigeration is:- (A) Quintal    (B) Gram (C) kg            (D) Ton

Q. 1 The amount of heat required to raise the temperature of 1gm milk by one degree celsius in comparison to water is (A) 85 %     (B) 93 % (C) 107 %    (D) 100 %

Q. 1 Froude number is the ratio between (A) Inertia force to viscous forces (B) Inertia force to gravity force (C) Inertia force to shear force      (D) Gravity force to inertia force

Q. 1 Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics ………. his lack of seriousness about the subject. (A) Masked        (B) Belied (C) Betrayed       (D) Suppressed

Q. 1 An ellipsoidal object has three axes measuring 40 cm, 20 cm and 20 cm respectively. The volume of the object is (A) 4.23 liters       (B) 8.38 liters (C) 12.63 liters     (D) 17.05 liters

Q. 1 The question below consists of a pair of related words followed by four pairs of words. Select the pair that best expresses the relation in the original pair.  Unemployed : Worker (A) Fallow : land     (B) Unaware : sleeper (C) Wit : jester        (D) Renovated : house

Q. 1 In building material RCC stands for (A) Revised cost calculation (B) Revised construction cost (C) Reinforced central construction (D) Reinforced cement concrete