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).