QUESTION 1
If 23!=25852016738abc976640000, where a, b, and c are digits, then find the sum a+b+c?
QUESTION 2
Let n=abc be a three digit number which is NOT divisible by 10. If the sum of the numbers abc and cba is divisible by 11, find the largest value of n.
QUESTION 3
Let n be a positive integer and n<100. If ${n^{200}} - 1$ is divisible by ${\left( {n - 1} \right)^2}$, what could be the largest possible value of n.
QUESTION 4
If n is a positive integer, find the smallest value of n such that $n!$ is divisible by ${{n}^{4}}-5{{n}^{2}}+4$
QUESTION 5
18222 + 12222 – 5222 – 1 is divisible by
If 23!=25852016738abc976640000, where a, b, and c are digits, then find the sum a+b+c?
- 2
- 20
- 11
- None of these
QUESTION 2
Let n=abc be a three digit number which is NOT divisible by 10. If the sum of the numbers abc and cba is divisible by 11, find the largest value of n.
QUESTION 3
Let n be a positive integer and n<100. If ${n^{200}} - 1$ is divisible by ${\left( {n - 1} \right)^2}$, what could be the largest possible value of n.
QUESTION 4
If n is a positive integer, find the smallest value of n such that $n!$ is divisible by ${{n}^{4}}-5{{n}^{2}}+4$
QUESTION 5
18222 + 12222 – 5222 – 1 is divisible by
- 189
- 221
- 289
- None of these