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Given, tank filled by pipe A in three hours equal to tank filled by B in four hours Let efficiency of pipe A and B be a & b respectively So, a×3=b×4 a/b=4/3  And ratio of time taken by pipe A and B will be 3 : 4 ATQ. t/(t+12)=3/4  t=36 So, time taken by pipe A to fill the tank = 36 hours Time taken by pipe B to fill the tank = (36 + 12) = 48 hours Time taken by pipe C to fill the tank = (36 – 12) = 24 hours So, total capacity of tank = 144 units (L.C.M. of 36, 48 and 24) Efficiency of pipe A = 144/36=4 units/hour Efficiency of pipe B = 144/48=3 units/hour Efficiency of pipe C = 144/24= 6 units/hour  ATQ. 4×d+13(d+6)+3(d+2)=144  4d+13d+78+3d+6=144 20d = 60 d = 3 Required portion = [((36+3×3)×3)/144] = 15/16
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Following two statements are related to regression coefficient
(I) Independent of the change of origin
(II) Independent of the change of scale
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