Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: If the three-digit integer x=”abc”, where a, b, and c [#permalink]
04 May 2012, 07:55
This post received KUDOS
If the three-digit integer x=”abc”, where a, b, and c represent nonzero digits of x, what is the value of x?
(1) a>= 3b. Not sufficient, since no info about c. (2) b>= 3c. Not sufficient, since no info about a.
(1)+(2) We have that a>= 3b and b>= 3c. Now, since each represent a nonzero single digit then c can only be 1, b can only be 3 and a can only be 9. Because if c=2 (or more) then the least value of b is 6 and in this case the least value of a is 18, so it's no more a single digit. Sufficient.
1+2) If we combine both inequalities together we end up with a/3>=b>=3c, thus the only values a can assume are 3 and 9, if a=3 the inequality does not hold true. Pick a=9 at this point we must minimize c, which will be 1, and b will be 3. Thus the value of abc is 931.
Otherwise you can solve it by plugging in numbers. _________________
Either suffer the pain of discipline, or suffer the pain of regret.
If my posts are helping you show some love awarding a kudos
Re: If the three-digit integer x=”abc”, where a, b, and c
21 Jan 2014, 14:22