Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Is value of y more than 1? (I) Value of y is more than 0. $(II) (y^2 - 4 > 0)$

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I only tells us y > 0, which means y could be 0.5 or 5. Statement II (y² - 4 > 0) implies y > 2 or y < -2, but alone doesn't confirm y > 1 since y could be -3. Together, if y > 0 and (y > 2 or y < -2), then y must be > 2, which definitely means y > 1.

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