Which of the following numbers is divisible by 3 and 5, but not by 2?
A. 955
B. 975
C. 990
D. 995
E. 999
Correct Answer: B
Here's Why:
For a number to be divisible by 5, the number must end in 5 or 0; therefore, 999 is not the answer. For a number to be divisible by 2, the number must be even; therefore, 990 is not the answer since you do not want the answer to be divisible by 2. For a number to be divisible by 3, the digits of the number must add up to a number that is a multiple of 3. For 955, 9 + 5 + 5 = 19, which is not a multiple of 3. For 995, 9 + 9 + 5 = 23, which is also not a multiple of 3. For 975, 9 + 7 + 5 = 21; since 21 is a multiple of 3, it follows that 975 is divisible by 3. So 975 is the answer.
Difficulty: Easy
Question Type: Standard Multiple Choice.
