Q. 1 – Q. 5 carry one mark each.
Choose the most appropriate alternative from the options given below to complete the following sentence:
I ___ to have bought a diamond ring.
Choose the most appropriate alternative from the options given below to complete the following sentence:
Food prices ___ again this month.
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Choose the most appropriate alternative from the options given below to complete the following sentence:
The administrators went on to implement yet another unreasonable measure, arguing that the measures were already ___ and one more would hardly make a difference.
Choose the most appropriate alternative from the options given below to complete the following sentence:
To those of us who had always thought him timid, his ___ came as a surprise.
The arithmetic mean of five different natural numbers is 12. The largest possible value among the numbers is
Q. 6 - Q. 10 carry two marks each.
Two policemen, A and B, fire once each at the same time at an escaping convict. The probability that A hits the convict is three times the probability that B hits the convict. If the probability of the convict not getting injured is 0.5, the probability that B hits the convict is
The total runs scored by four cricketers P, Q, R, and S in years 2009 and 2010 are given in the following table:
The player with the lowest percentage increase in total runs is
If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as
Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p – q) is
In the early nineteenth century, theories of social evolution were inspired less by Biology than by the conviction of social scientists that there was a growing improvement in social institutions. Progress was taken for granted and social scientists attempted to discover its laws and phases.
Which one of the following inferences may be drawn with the greatest accuracy from the above passage?
Social scientists
Q. 11 – Q. 35 carry one mark each.
The matrix is
The line y = x −1 can be expressed in polar coordinates (r,θ ) as
The type of pump used in forced water cooling system of a tractor engine is
Which one of the following statements is NOT appropriate regarding cone index
The draft and total power requirement of a rotary cultivator operating in concurrent mode as compared to a spring tyne cultivator of equal cutting width under the same operating conditions, respectively are
The soil erodibility factor needs to be determined for use in the universal soil loss equation. The length, in m and slope, in % of the experimental plot to be used for this purpose, respectively are
The difference between Fore Bearing and Back Bearing of a traverse line is
A pumping device that combines the advantages of both centrifugal and reciprocating pumps is known as
If ν is the kinematic viscosity of air – water vapour mixture and DAB is the mass diffusivity of water vapour in air then the ratio ν/DAB is known as
Work index in size reduction can be obtained by multiplying Bond’s energy constant with
The tangent line to y = f (x) at the point (xo , yo ) , assuming f ′(x) ≠ 0, intersects the x axis at
Approximate percentage of scores that fall within ±σ (standard deviation) of the mean in a normal distribution is
The integrating factor of the differential equation
The constituent of producer gas which occupies the highest percentage by volume and helps in increasing its overall calorific value is
During field operation, the shank of a tractor drawn rigid tyne sweep type cultivator is mainly subjected to
A slider is moving on a straight link at a sliding velocity of 0.5 m s−1. The straight link is pivoted at one end and makes angular movement at a rate of 1.0 rad s−1. Coriolis acceleration of the slider in m s−2 is
The power developed and the exhaust gas temperature of a diesel engine compared to a spark ignition engine of the same size and running at the same speed respectively, are
In a semi-modular outlet, the discharge
The relationship between outflow Q in m3 s−1 and storage S in m3 for an emergency spillway in a reservoir is Q = S/4000. Inflow, outflow and storage are assumed to be zero at time t = 0. If the inflow rate is 300 m3 s−1 at the end of t = 3 hours, the outflow rate in m3 s−1 is
A trapezoidal grassed waterway is constructed along a longitudinal gradient of 4%. If the crosssectional area of flow is 1.52 m2, wetted perimeter is 12.5 m and Manning’s n for the waterway is 0.04 m−1/3 s, the flow through the waterway in m3 s−1 is