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### Daily Question Banks for Engineering Entrance and Board Exams

Questions
 Physics A thin uniform bar lies on a frictionless horizontal surface and is free to move in any way on the surface. Its mass is 0.16kg and length  meters. Two particles, each of mass 0.08kg, are moving on the same surface and towards the bar in a direction perpendicular to the bar, one with a velocity of 10m/s, and other with 6 m/s shown in figure. The first particle strikes the bar at point A and the other at point B. Points A and B are at a distance of 0.5m from the center of the bar. The particles strike the bar at the same instant of time and stick to the bar on collision. Calculate the loss of the kinetic energy of the system in the above collision process. Chemistry Pb and Sn are extracted from their chief ore by (a) carbon reduction and self reduction respectively (b) self reduction and carbon reduction respectively (c) electrolysis and self reduction respectively (d) self reduction and electrolysis respectively Mathematics In how many ways three girls and nine boys can be seated in two vans each having numbered seats, 3 in front and 4 at the back? How many seating arrangements are possible if 3 girls sit together in a back row on adjacent seats? Now, if all seating arrangements are equally likely, what is the probability of 3 girls sitting together in a back row on adjacent seats?
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