QUESTION 1
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?
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?
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.
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.