If q = 20! + 17, then q is divisible by which of the following?
If q = 20! + 17, then q is divisible by which of the following?
I. 15
II. 17
III. 19
Answer/Solution
II only
Steps/Work
Another crude way to answer this, if you did not know the properties above would be to consider that that 20! will have the number ending in 00 due to 10 and 20 being included.
So q!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.
So q!+17 = xxxx00 +17 = xxxx17 which is only possibly divisible by 17. Hence Option C is the answer.