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Q. No. 1 - 5 Carry One Mark Each
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If you choose plan P, you will have to _______ plan Q, as these two are mutually _________.
P looks at Q while Q looks at R. P is married, R is not. The number of people in which a married person is looking at an unmarried person is
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If a and b are integers and a – b is even, which of the following must always be even?
The property of a material which enables it to resist fracture due to high impact loads is known as
The ways in which this game can be played __________ potentially infinite.
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Q. No. 6- 10 Carry Two Marks Each
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“If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters.”
Which of the following closest in meaning to „cleaving‟?
There are 4 women P, Q, R, S, and 5 men V, W, X, Y, Z in a group. We are required to form pairs each consisting of one woman and one man. P is not to be paired with Z, and Y must necessarily be paired with someone. In how many ways can 4 such pairs be formed?
In the graph below, the concentration of a particular pollutant in a lake is plotted over (alternate) days of a month in winter (average temperature 10°C) and a month in summer (average temperature 30°C).
Consider the following statements based on the data shown above:
(i) Over the given months, the difference between the maximum and the minimum pollutant concentrations is the same in both winter and summer.
(ii) There are at last four days in the summer month such that the pollutant concentrations on those days are within 1 ppm of the pollutant concentrations on the corresponding days in the winter month.Which one of the following options is correct?
All people in a certain island are either 'Knights' or 'Knaves' and each person knows every other person‟s identity. Knights NEVER lie, and knaves ALWAYS lie.P says “Both of us are knights”. Q says “None of us are knaves”.Which one of the following can be logically inferred from the above?
X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and double the number of tractors, it takes 5days to plough the same field. How many days will it take X bullocks alone to plough the field?
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Q. No. 11 to 35 Carry One Mark Each
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A mass m of a perfect gas at pressure p1 and volume V1 undergoes an isothermal process. The final pressure is p2 and volume is V2. The work done on the system is considered positive. If R is the gas constant and T is the temperature, then the work done in the process is
Which one of the following statements is TRUE for the ultrasonic machining (USM) process?
The standard deviation of linear dimensions P and Q are 3 mm and 4 mm, respectively. When assembled, the standard deviation (in mm ) of the resulting linear dimension (P+Q) is ________
The emissive power of a blackbody is P. If its absolute temperature is doubled, the emissive power becomes.
The state of stress at a point is σx=σy =σz = τxz = τzx=τzy = τyz and τxy = τyx =50MPa.
The maximum normal stress (in MPa) at that point is _________
The determinant of a 2×2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is ___________
Which one of the following statement is TRUE?
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ____________
A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear)
It is desired to make a product having T-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product?
The heat loss from a fin is 6W. The effectiveness and efficiency of the fin are 3 and 0.75, respectively. The heat loss (in W) from the fin, keeping the entire fin surface at base temperature, is __________.
For a single server with Poisson arrival and exponential service time, the arrival rate is 12 per hour. Which one of the following service rates will provide a steady state finite queue length?
For the stability of a floating body the
The divergence of the vector -yi+ xj __________
For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x) = 5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x =10 mm is ________.
A sample of 15 data is a follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is
If a mass of moist air contained in a closed metallic vessel is heated, then its
In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100mm and 160mm, respectively. The crank is rotating with an angular velocity of 10 radian/s counterclockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is ___________
A machine component made of a ductile material is subjected to a variable loading with
σmin = -50 MPa and σmax = 50 MPa. If the corrected endurance limit and the yield strength for the material are σe= 100 MPa and σy = 300MPa, the factor of safety is __________
The crystal structure of aluminium is