A) \[({{x}^{2}}+2x)L\]
B) \[(2{{x}^{2}}+3)L\]
C) \[(2x-1)L\]
D) \[(x+1)L\]
Correct Answer: B
Solution :
Capacity of both the containers is \[(2{{x}^{3}}+2{{x}^{2}}+3x+3)\,L\] and \[(4{{x}^{3}}-2{{x}^{2}}+6x-3)\,L\] i.e., \[(2{{x}^{2}}+3)\,(x+1)\,L\] and \[(2{{x}^{2}}+3)\,(2x-1)\,L\] Required measure is the H.C.F. of capacity of both the containers i.e., \[(2{{x}^{2}}+3)\,L\]
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