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Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
Study the following statements.i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.The correct answer is
The rear window of an automobile is made of thick glass i.e. AB = 5 mm and thermal conductivity is 0.8 W/m degree. To defrost this window, a thin transparent film type heating element has been fixed to its inner surface. For the conditions given below, determine the electric power that must be provided per unit area of window if a temperature 5 degree Celsius is maintained at its outer surface. Interior air temperature and the corresponding surface coefficient are 20 degree Celsius and 12 W/m2 degree. Surrounding air temperature and the corresponding surface coefficient are – 15 degree Celsius and 70 W/m2 degree. Electric heater provides uniform heat flux
Which of the following statements is/are incorrect? a)  According to Heckscher-Ohlin, mutually beneficial trade is based on the principle of absolute advantage. b) The law of comparative advantage indicates that each country will specialize in the production of those commodities in which it has the greatest comparative advantage or the least comparative disadvantage. 
During heat treatment, cylindrical pieces of 25 mm diameter, 30 mm height and at 30 degree Celsius are placed in a furnace at 750 degree Celsius with convective coefficient 80 W/m2 degree. Calculate the time required to heat the pieces to 600 degree Celsius. Assume the following property values Density = 7850 kg /m3 Specific heat = 480 J/kg K Conductivity = 40 W/m degree
A water line is buried underground in dry soil that has an assumed initial temperature of 4.5 degree Celsius. The pipe may have no flow through it for long period of time, yet it will not be drained in order that no freezing occurs, the pipe must be kept at a temperature not lower than 0 degree Celsius. The pipe is to be designed for a 30 hour period at the beginning of which the soil surface temperature suddenly drops to – 17 degree Celsius. Workout the minimum earth covering needed above the water pipe so as to prevent the possibility of freezing during 36 hour cold spell. The soil in which the pipe is buried has the following properties Density = 640 kg/m3 Specific heat = 1843J/kg degree Thermal conductivity = 0.345 W/m degree
Consider the below statements. (i) Quality is defined as fitness for the purpose at the lowest cost (ii) Quality is a grade of the product in appearance, performance, life, reliability, taste, odour, maintainability etc (iii) Quality is the degree to which a specified product is preferred over competing products of equivalent grade, based on the comparative test by customers, normally called as customer’s preference (iv) Quality is a measure of the degree of the general excellence of the product (v) Quality may be defined as the degree of conformance to design and specifications Which of the above statements are correct?
In the following question, there are two statements followed by two conclusions I & II. You have to assume everything in the statement to be true, then consider the two conclusions and decide which of them logically follows beyond a reasonable doubt from the information given in the statement. Statement: The eligibility for appearing in this exam is minimum 55 percent in Masters degree. However, the candidates who have appeared for the final year examination of Masters degree can also apply. Conclusions: I. All candidates who have yet to get their Masters degree will be there in the list of selected candidates. II. All candidates having at least 55 percent in Masters degree will be in the list of selected candidates. 
In a group of 200 members, 35 members have an Engineering and an M.B.A degree both, 75 members have an Engineering degree but not an M.B.A degree, find the number of people who have M.B.A degree.
A boatman wants to cross a river which distance is 80 km. In the starting boatman goes to 20 km and then turn 90 degree anti-clock wise and goes 60 km in upstream after that he turn 90 degree clock wise and goes 40 km. After that he turn 90 degree clock wise and goes 60 km. In the end he turn 90 degree anti-clock wise and goes 20 km and reach his destination. The speed of boatman is 22 km/hr and speed of stream is 4 km/hr. Find the time to cover total distance?