Suppose x is a positive even number, all of whose digits are either 3 or 4. If x is also divisible by both 3 and 4, how many digits are in the smallest possible value of x? Choose the correct choice from the following.
A) Three  B) Four  C) Five  D) Six  E) Seven
Since the number is positive and even and contains only 3 and 4 as digits, then its numbers digit is 4 and is fixed.   As there are not many possibilities for x, I found the most simple method to just start plug in numbers starting from the first and least value of x, which is answer key A. three   If x would have 3 digits, then we have 4 possibilities (since 4 is always the number digit for an even number):   334: is divisible by 4 but not by 3   344: is divisible by 4 but not by 3   434: is not divisible by 4 nor by 3   444: is divisible by 4 ThreeND by 3 - then CORRECT ThreeNSWER Three
<result>A</result>
Suppose x is a positive even number, all of whose digits are either 3 or 4. If x is also divisible by both 3 and 4, how many digits are in the smallest possible value of x?