Bunuel wrote:
If p and q are positive integers, can the fraction p/q be expressed as a decimal with only a finite number of nonzero digits?
(1) q/p expressed as a decimal with only a finite number of nonzero digits.
(2) Both p and q are multiples of 120.
Evaluate statement (1) alone:
If p=120 and q=360, p/q = 1/3, which cannot be expressed as a decimal with only a finite number of nonzero digits.
If p=120 and q=120, p/q = 1, which can be expressed as a decimal with only a finite number of nonzero digits.
From statement (1) alone, do we have enough information to answer the question? No. BCE.
Evaluate statement (2) alone:
If p=120 and q=360, p/q = 1/3, which cannot be expressed as a decimal with only a finite number of nonzero digits.
If p=120 and q=120, p/q = 1, which can be expressed as a decimal with only a finite number of nonzero digits.
From statement (2) alone, do we have enough information to answer the question. No. CE.
Evaluate both statements together:
If p=120 and q=360, p/q = 1/3, which cannot be expressed as a decimal with only a finite number of nonzero digits.
If p=120 and q=120, p/q = 1, which can be expressed as a decimal with only a finite number of nonzero digits.
From both statements together, do we have enough information to answer the question? No. E.
Answer choice E.