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The sentence tells us how the biggest asteroid impacts would have swathed (enveloped) our earth in rock vapour, boiling the oceans dry and fumigating (sterilizing) the surface worldwide (globally). RECALCITRANT means uncooperative and will not bear relevance here as the sentence uses it to describe rock vapour. It can be replaced with the given word INCANDESCENT which means emitting heat. Therefore, (b) is the right answer.
If the arithmetic mean of x, x + 3, x + 6, x + 9 and x + 12 is 10, then x = ?