Multiple choice

f (x) is the remainder of n divided by x. If x is a positive integer, is x greater than 20? 1) f (x + 10) = 42
2) f (bx) = 36

  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

1)  only, the remainder is 42, so x + 10 must be greater than 42. x + 10 > 42, x > 32, x must be greater than 20, sufficient. 2)  only, the same reason as 1), bx > 36, we don't know the value of b, so we cannot know if x would be greater than 20 or not, insufficient.

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