Multiple choice

If x is a positive integer, does it have more than 4 different prime factors? 1) x < 210 2) x > 210

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.
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A Correct answer
Explanation

assume y = 2*3*5*7 = 210, y has 4 prime factors and y is the least possible value which has 4 different prime factors. So if x has more than 4 different prime factors, x must be more than 210.  1) only, x < 210, x cannot have more than 4 prime factors, sufficient. 2) only, x > 210, x may have more than 4 different prime factors, but x may have only 4 prime different factors, insufficient.

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