Find the sum of digits of smallest number which is divisible by all single digit prime numbers but no digit of the number is prime.
QUESTION 2
What is the sum of all the digits of the smallest three digit number \(N\) such that all the digits of \(3 \times N\) are even.
QUESTION 3
Let ABCDE be a five digit number where A, B, C, D, and E are the digits. If $ABCDE\times 9=1AAA0E$ , what is the value of A+B+C+D+E?
- 12
- 15
- 18
- 21
QUESTION 4
Let a be a number (in base 10) which has m number of digits and ${{a}^{3}}$ has n number of digits. Which of the following CANNOT be the value of m+n?
- 3000
- 3001
- 3002
- 3003
QUESTION 5
There are positive integers with leading digits being 6 and upon removing this leading digit, the resulting integer is $\cfrac{1}{{25}}$ of the original value. Determine the least of such positive integers.