Two towns `Aa n dB` are 60 km apart. A school is to be built to serve 150 students in town `Aa n d50` students in town `Bdot` If the total distance to be travelled by 200 students is to be as small as possible, then the school should be built at (a)town B (b)town A (c)45 km from town A (d)45 km from town B

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

Four visitors A, B, C, D arrived at a town that has 5 hotels. In how many ways, can they disperse themselves among 5 hotels.

A factory D is to be connected by a road with a straight railway line on which a town A is situated. The distance D B of the factory to the railway line is 5sqrt(3)k mdot Length A B of the railway line is 20km. Freight charges on the road are twice the charges on the railway. The point P(A P < A B) on the railway line should the road D P be connected so as to ensure minimum freight charges from the factory to the town is B P=5k m (b) A P=5k m B P=7. 5k m (d) none of these

A small town with a demand of 800 kW of power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two wire line carrying power is 0.5Omega . km^-1 . The line gets power from the line through a 4000-220 V step-down transformer at a substation in the town. How much power must the plant supply, assuming there is negligible power loss due to leakage.

The teachers of Geeta's school took the students on a study trip to a power generating station, located nearly 200km away from the city. The teacher explained that electrical energy is transmitted over such a long distance to their city. In the form of alternating current (ac) raised to a high voltage. At the receiving end in the city, the voltage is reduced to operate the devices. As a result, the power loss is reduced. Geeta listened to the teacher and asked questions about how the ac is converted to a higher or lower voltage. Write two values each shown by the teachers and geeta,

Statement 1: The probability of drawing either an ace or a king from a pack of card in a single draw is 2/13. Statement 2: for two events Aa n dB which are not mutually exclusive, P(AuuB)=P(A)+P(B)-P(AnnB)dot a) statement 1 and 2 both are true and statement 2 is correct explaination for statement 1. (b) statement 1 and 2 both are true but statement 2 is not the correct explaination for statement 1. (c) only statement 1 is true. (d) both the statements are false.

A small town with a demand of 800 kW of power at 220 V is situated 15 km away from an electric plant generating power at 440 V. The resistance of the two wire line carrying power is 0.5Omega . km^-1 . The line gets power from the line through a 4000-220 V step-down transformer at a substation in the town. Estimate the line power loss in the form of heat?