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There are 200 questions in a 3 h examination. Among 200 questions, 50 are from Mathematics, 100 are from GK and 50 are from Science. Ram spent twice as much time on each Mathematics question as for each other question. How many minutes did he spend on Mathematics questions ?

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Shows a hydraulic press with the larger piston of diameter 35cm at a height of 1.5 m relative to the smaller piston of diameter 10cm. The mass on the smaller piston is 20gk. What is the force exerted on the load by the lerger piston ? The density of oil in the press is 750 "kgm"^(-3).

A 2.5 cm cube of gelatin placed on a table, is subjected to a shearing fornce a o 0.5gk . The upper surface of the of the cube is displaced by 0.5cm. Calculate the shear modulus of gelatin.

The specific heat of a substance varies with temperature according to c =0.2 +0.16 T + 0.024 T^(2) with T in "^(@)c and c is cal//gk . Find the energy (in cal) required to raise the temp of 2g substance from 0^(@)to 5^(@)C

A fort is at the top of a hill of height h above the sea-level.Prove that the greatest horizontal distance from which a gun in the ship can hit the fort is 2sqrt(k(k-h)) where sqrt(2gk) is the muzzle velocity.

Let a_1,a_2,a_3…………., a_n be positive numbers in G.P. For each n let A_n, G_n, H_n be respectively the arithmetic mean geometric mean and harmonic mean of a_1,a_2,……..,a_n On the basis of above information answer the following question: A_k,G_k,H_k are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

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