Question 71. An unconfined aquifer extends over an area of 1 m2 and has hydraulic conductivity, total porosity and specific retention of 20 m per day, 30% and 10%, respectively. After pumping some groundwater from this aquifer, the water table dropped to a depth of 20 m from the ground level. If the water table was initially at 14.5 m below the ground level, the change in groundwater storage in million cubic meters would be _______________

Question 72. The overall heat transfer coefficient based on the outside surface area of a tubular heat exchanger decreased due to fouling during operation from 1000 W m-2 K-1 to 800 m-2 K-1. The fouling film coefficient of the heat exchanger in m-2 K-1 is _______________

Question 73. A high pressure dairy homogenizer operates under upstream and downstream pressures of 200 and 40 bar respectively homogenizing 30 L of whole milk per hour. Density and specific heat capacity of whole milk are 1030 kg m-3 and 3.8 kJ kg-1 K-1, respectively. Assuming complete energy conservation, the temperature rise of whole milk in degree Celsius is _______________

Question 74. Box 1 contains 15 balls out of which 3 are red. Box 2 contains 12 balls out of which 4 are red. If one ball is drawn at random from each box simultaneously, the probability of getting at least one red ball is

Question 75. A fish fillet of 5 mm thickness having 85% moisture (wet basis) is to be frozen using a plate freezer. The plates are at -350C and the heat transfer coefficient between the fillet and the freezer plates can be assumed to be 2.0 W m-2 K-1. The initial freezing temperature of fish is -2.50C, latent heat of fusion is 330 kJ kg-1, density of fish is 1100 kg m-3 and thermal conductivity of frozen fish is 1.5 W mm-1 K-1. The time required to freeze the fillet from the initial freezing temperature in hour(s) is __________

Question 76. A hemispherical vessel of 300 mm diameter is completely filled with oil and water. If the oil layer is 50 mm deep on the top, the volume of water in the vessel in litres is

Question 77. If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as

Question 78. Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p “ q) is

Question 79. 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

Question 80. The tangent line to y = f(x) at the point (x0, y0), assuming f'(x) ≠ 0, intersects the x axis at