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JEE Math Practice Question

$$\int_0^5 {\cos \left( {\pi \left( {x - \left[ {{x \over 2}} \right]} \right)} \right)dx} $$, where [t] denotes greatest integer less than or equal to t, is equal to:

  1. A.$$-$$3
  2. B.$$-$$2
  3. C.2
  4. D.0

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