If r and s are positive integers, and the ratio r/s is expressed as a decimal, is r/s a terminating decimal? (Any decimal that has only a finite Within this expansive software library, you can find some wonderful casino applications, roulette included. number of non-zero digits is a terminating decimal.)
(1) 50 < r < 60
(2) s = 6
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
The answer is B.
In order for a decimal to be terminating, a denominator should be in form 2^a*5^b, where “^” means “to the power”, a, b – any positive integers or 0. Since s=6=2*3, the decimal is not terminating.
E
E:
for example:
if r=54 => r/s=54/6=9 =>terminating decimal;
if r=55 => r/s=56/6=28/3=9+1/3=9,(3) => NOT terminating decimal.
The correct answer is E, guys! Thanks for your answers and ideas! And be carefull with those fractions, that can be simplified (like 54/6 –> 9).