Q. 1 – Q. 5 carry one mark each
If 3 ≤ X ≤ 5 and 8 ≤ X ≤ 11 then which of the following options is TRUE?
The Headmaster ___________ to speak to you.
Which of the following options is incorrect to complete the above sentence?
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Mahatama Gandhi was known for his humility as
"All engineering students" "should learn mechanics", "mathematics and" "how to do computation."
I II III IV
Which of the above underlined parts of the sentence is not appropriate?
Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe::
Q. 6 to Q. 10 carry two marks each.
Velocity of an object fired directly in upward direction is given by = 80 −32 , where (time) is in seconds. When will the velocity be between 32 m/sec and 64 m/sec?
In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?
Following table gives data on tourists from different countries visiting India in the year 2011.
Which two countries contributed to the one third of the total number of tourists who visited India in 2011 ?
If |−2X + 9| = 3 then the possible value of |−X | −X2 would be:
All professors are researchers , Some scientists are professors
Which of the given conclusions is logically valid and is inferred from the above arguments:
Q. 11 – Q. 35 carry one mark each.
If P = AxB , where A= and B = then P is
If C= A×B , where A= 2i - j +3k and B= i +2j ; then C is
The general solution of the differential equation is
Eigenvalues of the matrix is
Poisson distribution having a mean of 5 will have √5 as
During the testing of a spike-tooth type thresher for wheat crop, the throughput and the thresher capacity were found to be 750 kg h-1 and 445 kg h-1 , respectively. The grain-straw ratio (grain :straw) of the crop is 1.5 : 1. Material other than grain (MOG) collected at the main grain outlet is 0.5%. The total grain loss in percentage from all the sources will be
The rear furrow wheel in a tractor mounted disc plough is provided to
The cumulative discharge of a tractor mounted hydraulic sprayer having 7 nozzles is 2.0 L min-1 when the tractor is operated at 4 km h-1. If the nozzle spacing is 0.3 m, the discharge in L ha-1 is
A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes
A double acting hydraulic cylinder has a rod diameter equal to one-half the piston diameter. If the system pressure is maintained constant, the ratio of load carrying capacity of extension stroke to that of retraction stroke is
During a test, sound level was measured as 90 dB in the operator’s cabin on a tractor. Taking reference sound pressure as 2 x10-5 N m-2, the measured RMS sound pressure in N m is
During land leveling of agricultural land for irrigation and drainage purposes, the acceptable deviation in elevation from the design value in metre is
The gridiron pipe drainage system is more economical than the herringbone pipe drainage system because
If the drainable porosity of a command area is 5% and the design rate of drop of the water table is 0.25 m day-1, the drainage coefficient of the command area in mm day-1 will be
A soil has a void ratio of 0.75 and a specific gravity of 2.66. The value of critical hydraulic gradient at which quick sand condition will occur is
The pressure that does not have any measurable influence on the void ratio or shearing resistance of the soil mass is
The Rational method is used to estimate
Pan evaporation data recorded at a certain location over a period of one week are 4.0, 4.3, 4.6, 4.9, 5.12, 5.18, and 6.21 mm. If irrigation scheduling based on ratio of irrigation water (IW) to cumulative pan evaporation (CPE) is practiced, the depth of irrigation at an interval of a week for IW/CPE = 0.9 is
A 16 m high wind break is constructed to protect soil from wind erosion due to wind velocity of 18 m s-1 at 15 m height. The minimum wind velocity at 15 m height capable of moving the soil fraction is 8 m s-1. The angle of deviation of prevailing wind direction from the perpendicular to the wind break is 30º. The distance of full protection from the wind break in m is
Milk enters into the heating section of a high temperature short time (HTST) pasteurization plant at a temperature of 45ºC and leaves at 72ºC. Hot water at temperature of 95 ºC enters countercurrently into the heat exchanger and leaves at 77ºC. The effectiveness of the heat exchanger is