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JEE Math Practice Question

Let a be an integer such that $$\mathop {\lim }\limits_{x \to 7} {{18 - [1 - x]} \over {[x - 3a]}}$$ exists, where [t] is greatest integer $$\le$$ t. Then a is equal to :

  1. A.$$-$$6
  2. B.$$-$$2
  3. C.2
  4. D.6

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