Multiples of 3
The sum of two consecutive multiples of 3 is 51. What is the larger of the two numbers?
27
Find the largest 3-digit multiple of 5 where all three digits are different.
985
The 3-digit number 4A3 is divisibly by 9. Find the value of the digit A.
2
Jumper claims that any number divisible by both 4 and 6 must be divisible by 24. Is Jumper right? If not, what is the largest 2-digit counterexample?
No, 84
How many 3-digit numbers with the form 4A7 are multiples of 3?
3
The sum of three consecutive multiples of 5 is 210. What is the greatest of the three numbers?
75
The four-digit numeral 3AA1 is divisible by 9. What digit does A represent?
7
The four-digit number A55B is divisible by 36. What is the sum of A and B?
8
The product of two consecutive multiples of 3 is 810. What is their sum?
57
We call a perfect square mid if it is a multiple of 5. What is the sum of all mid numbers less than 500?
750
In the 5-digit number A6A41, each of the As represents the same digit, and A6A41 is divisible by 9. What digit does A represent?
8
The three-digit number AB5 is a multiple of 45. What is the sum of all possible values of A?
45