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JEE Math Practice Question

The probability of selecting integers a$$\in$$[$$-$$ 5, 30] such that x2 + 2(a + 4)x $$-$$ 5a + 64 > 0, for all x$$\in$$R, is :

  1. A.$${7 \over {36}}$$
  2. B.$${2 \over {9}}$$
  3. C.$${1 \over {6}}$$
  4. D.$${1 \over {4}}$$

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