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Please someone explain me the solution of this question.

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The question tells you that the reaction is exothermic, so option 4 is out as the products are at a higher energy than reactants.

Now we see that $\ce{A + B -> X}$ is the slow step or rate determining step of the reaction, so it needs a higher activation energy than the step $\ce{X -> AB}$.

This eliminates the option 1. Option 2 is nowhere close to a right answer as the intermediate is nowhere to be seen. Thus we see that option 3 satisfies all our conditions and hence comes out to be the answer.

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